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Improving piano tone through tuning and temperament

  • 1.  Improving piano tone through tuning and temperament

    Posted 02-20-2019 14:41
      |   view attached
    It's been my experience most poignantly with a Kawai KG-8C but with Steinways and other pianos too that a well tuned unqual temperament can improve the tone of the piano, making it sound more whole, coherent, musical, warm, less strident so I've started to look at the mathematics of why that might be. The other effect is to reduce confusion with sustaining pedal effects and resonance.

    Attached is a spreadsheet upon which others no doubt may improve but which might be a start of some helpful analysis. 

    It sets out the frequencies of fundamentals and harmonics up to the 11th in Equal, Meantone, Kellner and Kirnberger III temperaments. 

    The 11th harmonic I've ignored, collapsing the columns as it's effectively 1/4 tone off in all temperaments and irrelevant to resonance.

    The 9th harmonic I've tended to colour red as it adds to the metallic sound of the instrument.

    Generally, coloured green are the frequencies that are on the harmonic within one beat.

    Coloured blue are frequencies between one and five beats, which add to the glistening nature of the piano sound and can be near enough to resonate.

    Coloured orange are frequencies between 5 and 10 beats which may add colour but certainly glisten or add to disturbance of sound and may or may not resonate.

    We can see the way in which equal temperament gives smooth progression of everything adding glistening and providing off-resonance, the collection of such near and universal vibrational consistencies giving the maximum confusion of sustain sound.

    When we go to Meantone we see how the 3rd and 6th harmonics resonate and resonances of other harmonics are fragmented.

    Kellner and Kirnberger less so, and particularly we see less universal capability of 9th harmonics to be resonating, and also different responses in different keys, particularly showing different tone colours or tonalities resulting in different keys where in some the 9th harmonic is spot on and capable of resonance, whilst in others supplying only supporting glistening or not at all. The home keys, C F Bb G tend to excite more the concordant harmonics whilst the more strident keys such as C# the more strident harmonics.

    It's far from a perfect illustration and takes no stretching into account but perhaps it's a start.

    Perhaps the assumption that the lack of taking stretching into account might be valid as the idea of taking inharmoncity into account is to align harmonics better. So neglecting that and looking at the system as if the harmonic relationship to the scale can be considered as undisturbed is not invalid.

    Perhaps others might have better ways of illustrating what's capable of happening and what those of us who tune unequally can hear, or have other thoughts about how close harmonics and scale pitches have to be to resonate strongly stably or provide wobble to the resonating sound. Hopefully it's a start and not cause to be murdered by the staunch equaltemperamentists.

    It's my conviction as well as that of those who've experienced a change in an instrument as a result of an unequal tuning that the sound can be improved and become more "musical".

    Best wishes

    David P


    ------------------------------
    David Pinnegar BSc ARCS
    Curator and House Tuner - Hammerwood Park, East Grinstead, Sussex UK
    antespam@gmail.com

    Call for papers - Seminar 6th May 2019 - "Restoring emotion to classical music through tuning."
    ------------------------------

    Attachment(s)

    xls
    temperaments.xls   169 KB 1 version


  • 2.  RE: Improving piano tone through tuning and temperament

    Posted 02-21-2019 04:26
    Thank you Mr. Pinnegar for posting your spreadsheet to my ptg as an added resource for those to choose further exploration.

    I am one of the equaltempermentalists but have wondered if there are other non-equal temperments that perhaps a 19th century composer may have had in mind when adding specific notes in phrases that commanded the use of the sustenuto pedal and perhaps even una chorda pedaling to excite just specific areas of the hammers when striking.

    To be able to play a phrase or two of Debussy and let the piano tell me what the composer had in mind while trying different temperments offers a whole new world of exploration for me as well as any listener. Having a pianist such as Rudolf Serkin offer his own unique temperment to accompany his performances can not be excluded either.

    i will keep you in mind should you offer a course across the pond here at some future PTG conference, and hopefully I will be able to get both a class from you as well as Mr. Sturm, whom I have followed for years, under a single roof and time. It would certainly add value to the day.



    Sent from my iPad




  • 3.  RE: Improving piano tone through tuning and temperament

    Posted 02-21-2019 05:53
    Thanks

    It's a real sojourn experimenting with real instruments and it's been a great privilege to find musicians hearing the effect achieved and asking me to come and tune for them - and it's that gradual random expansion of experience together with making many recordings of different performers and different instruments which you might have found on YouTube - search perhaps Chopin Unequal Temperament as a start - that I've come to expect the differences about which I write from the different and varied instruments.

    I know that many people already use the Pianoteq software for research purposes and you can get a working-enough trial to start making experiments without cost. It's worth doing.

    The other day I was demonstrating the effects of the temperament on tone to Gary Branch https://www.resonusclassics.com/gary-branch with whom the 6th May seminar is being organised. Of the instruments that the electronics simulates the coherence of the Steinway, Bechstein, Kawai simulated instruments was improved by taking them out of Equal Temperament - but the Grotrian sounded best in the ET. My experience of a Grotrian was very beautiful tuned to Kellner https://www.youtube.com/watch?v=QnYITP11UgQ but the simulation is solidly better in ET. This may be because they have studied the harmonics of their instrument and how they fit in with the ET scale and designed their string scaling accordingly.

    But my experience of tuning Kellner and its modification to the sound has been more noticeable since I stopped tuning with Tunelab with stretch. One small Steinway in Genoa tuned with TuneLab adjusted stretch sounded so much better that a non-musician living in the house remarked upon it but other instruments have not shown such stark improvement until I adopted tuning the central three octaves without stretch.

    This may have something important to give us in terms of piano tone. If the central three octaves have scale notes precisely tuned to a temperament with numerous perfect fifths, still and not beating at all, and some near perfect thirds resulting in the process, we're setting up in different chords a synthesis of new tonality just as we choose the harmonics drawn on the drawbars of a Hammond. This sets up solid sounds in the middle of the keyboard fixed without distortion of inharmonicity. They will produce harmonics in the region above the Treble C octave. If then we begin the stretch from the C above treble C, the top region scale notes might miss the upper harmonics of the lower region and sound less ringing. Often these areas are confused by Duplex scales as well. Likewise when we tune the bass so that their harmonics fit on the scale notes of the middle three octaves, some with exact fit to the quints and near to the tierces, again we're setting up strict harmonic solidity to the sound.

    I'm sure that there are assumptions and confusions in such an explanation, but it's audible and testable with the Pianoteq simulations, and on which stretch can be varied also.

    For those who haven't tuned to an unequal temperament nor had the opportunity to hear tonal alteration I hope that the spreadsheet demonstrates at least merely that there's something to research, and perhaps which Grotrian have researched already to fit their instruments into the modern norm, and that others might be encouraged to try it and see what they find.

    It's so really difficult to put into a visual analogue that which is aural but I think the colouration on the spreadsheet demonstrates the way in which the apparent smoothness of ET is disrupted by unequal tuning, and to contemplate whether that disruption is a good or a bad thing for harshness-mellowness, sustain, resonance and confusion or otherwise, and so for musicmaking.

    Hopefully it's a tool that can bring some anchor to discussions in a form that we can measure and we can see, beyond the differences caused by our subjective perceptions as to what we hear or not or which aspect to which we might be listening.

    Hopefully others with more expertise will be able to go through and re-colour the spreadsheet in the knowledge of how many beats where gives perception of glistening to the sound, metallic discord and how far away a frequency has to be before it ceases to excite a sympathetic resonance.

    For examination of other temperaments, in the Kirnberger section but not the Meantone or Kellner I included the conversion from cent offsets to frequency, so anyone can copy that block and paste it elsewhere plugging in the cent deviations of other temperaments.

    Serkin, by the way, is a temperament that's well worthy of looking at. There's a class of temperaments that speaks through pure intervals whilst Serkin and another temperament I'm looking at from a Chopin expert speaks through variations of beating.

    Best wishes

    David P

    --
    - - - - - - - - - - - - - - - - - - - - - - - -
    David Pinnegar, B.Sc., A.R.C.S.
    - - - - - - - - - - - - - - - - - - - - - - - -
    +44 1342 850594





  • 4.  RE: Improving piano tone through tuning and temperament

    Posted 02-21-2019 08:01
    A year ago I had just finished tuning a baby grand piano in a home of a new client using my Accutuner of which I had customed a slight stretch in the double octave.. I demonstrated the new tuning by playing one of my own melodic compositions. In conversations with the customer, she revealed that when music is played, her special needs son sees colors instead of music which dramatically affects his emotions. She told me he easily gets depressed when certain chord patterns are played and will cry.

    Yesterday I returned to tune the piano in its annual service. There was no music in the room and it appeared the piano had not been played much over the course of the year. I used the same tuning as I had done a year before with the same stretch. When done I commented to the owner that it seemed the piano had not been played much in the past year and her reply was simply "I'm just too busy"

    So now I pay attention when fellow technicians offer something new in tunings and use "color" in their language and "emotional response" in terms of listeners. Their worlds are different than mine. Let music from a finely tuned piano be the bridge. I open both heart and mind to what each and every piano techniciian has to offer when it comes to builiding this bridge.

    Also note, take time and read Ed Suttons article on tuning with the heart in this month's journal. He offers some valuable seeds for contemplation.

    ------------------------------
    Kevin Magill
    Williamsburg VA
    757-220-2420
    ------------------------------



  • 5.  RE: Improving piano tone through tuning and temperament

    Posted 02-24-2019 06:51
    It's come to my attention that the TuneLab files I attached to a post about tuning modern pianos wouldn't come through the email response system. 

    I've uploaded the inharmonicity files and the resulting Kellner tunings which were successful into the attached .zip file. These were from 2011-2013 era tunings and Youtube recordings were made of some of these instruments as noted in my previous post - 
    " For anyone using Tunelab I'm attaching some files of tunings I was doing on instruments on which I was still using stretch successfully. The Steinway Boston tuning file was the one which resulted in the recording https://www.youtube.com/watch?v=1z3o0x4dKJI . The Grotrian tuning resulted in https://www.youtube.com/watch?v=QnYITP11UgQ The Yamaha C2 and G3 instruments were very much appreciated by their owners and the C3 serves for a church both for hymn singing and recitals from time to time. This is the instrument recorded on https://www.youtube.com/watch?v=O7v5jYkw13w with a piece by Paart which is rather good for hearing tuning. The .txt files are the measured inharmonicity files and the .tun files are as tuned these instruments were tuned using Kellner and stretch in those days."

    The Yamaha C3 recording of the Paart in my view demonstrates how well the UT chosen brings a particular beauty to the sound of the modern piano and to 20th century music. Historical argument is irrelevant.

    However, I stress that the formula of three central octaves without stretch, the bass tuned harmonically to the temperament octaves, and stretch applied in the treble from the octave above the Treble C octave gives even better results.

    For those who haven't seen it the scale vs harmonics spreadsheet is also attached and I hope inspirational.

    Best wishes

    David P

    ------------------------------
    David Pinnegar BSc ARCS
    Curator and House Tuner - Hammerwood Park, East Grinstead, Sussex UK
    antespam@gmail.com

    Call for papers - Seminar 6th May 2019 - "Restoring emotion to classical music through tuning."
    ------------------------------



  • 6.  RE: Improving piano tone through tuning and temperament

    Posted 11-19-2020 19:33
    In praise of Ed Foote, Owen Jorgensen and Eben Goresko . . . 

    During a window without lockdown this summer I went up to London and tuned a friend's Steinway. This wasn't an ordinary sort of friend or an ordinary sort of musician and I hope that by reverting to this thread after all this time technicians might well just possibly be inspired to . . . be a little  . . . adventurous. The particular friend happens to have been the retired Head of Music at Eton College, and continues to be a leading and inspirational choirmaster. Whenever I go to see him we probably converse for at least double the time of tuning the piano, and on this occasion the conversation turned into something else - 
    https://www.youtube.com/watch?v=sb6pt3OvU_o

    Perhaps by entering exploration of unequal temperaments technicians everywhere can  . . . excite . . . new interest in the instrument and in music.

    Perhaps if you've thought you had clients with whom you wouldn't dare even make the suggestion . . . there's now a video to show them. Even if it's taken to be just how mad the British can be.

    Best wishes

    David P

    ------------------------------
    David Pinnegar BSc ARCS
    Hammerwood Park, East Grinstead, Sussex, UK
    +44 1342 850594
    "High Definition" Tuning
    ------------------------------



  • 7.  RE: Improving piano tone through tuning and temperament

    Registered Piano Technician
    Posted 02-21-2019 09:46
    I think I have something to contribute to this discussion and that the discussion could be interesting. However, I'll decline to participate.

    The reason?

    "Hopefully it's a start and not cause to be murdered by the staunch equaltemperamentists."

    If you are just wanting to characterize those who disagree with you on some points as those who are looking for a fight to victimize you, then I have better things to do.

    All the best,

    Kent Swafford






  • 8.  RE: Improving piano tone through tuning and temperament

    Posted 02-21-2019 12:06
    What do non-piano tuners hear when they play a piano? This is a great mystery! How do they hear intervals? Do they hear with the trained focus of a piano tuner? 

    As piano tuners, we think of the piano in terms of what we hear when we have just completed tuning a piano. We listen with trained tuners' ears.
    What would we hear if we could hear all the pianos currently in use, the pianos that people (including teachers, composers and fine musicians) are really playing and presumably enjoying? What if we could hear them with players' ears, not tuners' ears? "I'm a pianist. Intonation is not my issue." (Said a customer)

    What happens to perfectly tempered thirds of any sort when the unisons begin to drift? Many of us can report about what happens to unisons with a 15 or 20 % humidity change. Yet our customers continue to play happily on their "Equal Tremolo Temperament" piano. (ETrT?) I would suggest that in the pre-dampchaser era, ETrT was the most common tuning (and it may still be, depending on your statistical sample.)

    We discuss these topics with an assumption that Bach, Mozart, Chopin and other great composers perceived tuning with an accuracy that at least equals that of a contemporary piano tuner who has passed the RPT exam. Do we really know that? We assume that Bach tuned his harpsichord until he was satisfied. What does that mean, beyond knowing it was good enough for whatever he could hear? We know that Chopin depended on piano tuners to tune his instruments, and that he preferred some tuners over others. We don't know why. We do know that people played the instruments they had to play, and I think it's fair to assume that the range of out-of-tunedness was at least as wild as what we hear today, and probably wilder.

    Linked below is a remarkable recording of a very fine musician playing his home piano. Living in los Angeles, we can't claim that it was difficult for him to find an adequate piano tuner.

    <https://www.youtube.com/watch?v=iTkrp-LYM3g&t=1581s>

    ------------------------------
    Ed Sutton
    ed440@me.com
    (980) 254-7413
    ------------------------------



  • 9.  RE: Improving piano tone through tuning and temperament

    Posted 02-22-2019 15:21
    I want to thank Mr. Pinnegar for starting this discussion and for the original post where he linked a very intersting book by Johnny Reinhard that I will post here again https://stereosociety.com/wp-content/uploads/2017/02/BACHandTUNING-screen.pdf
    and I encourage others interested in the subject to read it. After reading a good bit about temperament history over the past week and considering everything that Mr. Sturm posted, I have to say that I have come to my own conclusion about temperament history and whether circular temperamnets are worth using and pursuing. Even though equal temperament was known and used at a fairly early time, I don't think that the evidence shows that it was thought to be the best temperament by the German composers who pioneered the exploration of fully chromatic modulation. Equal temperament was clearly known by the Bach family, but CPE Bach in his tuning instruction says to temper most of the fifiths not all of them. It would have been very easy to say to temper all the fifths equally as I am sure he was familiar with Neidhardts work and the tuning competition mentioned in the above book. In those days, composers, musicians, and theoreticians were well acquainted with the use of monochords and were more aware of and sensitive to the varying sizes of intervals, which would have influenced there perception and grasp of key color. But regardless of the historical details, circulating temperamnets offer a larger variety of different sized intervals than equal temperament, while still allowing the modulation through all keys. Its sounds more interesting than equal temperament to me. Even though pianos are always drifitng out of tune, it is quite different to leave some fifths pure at the end of a tuning session than all slightly narrowed in a relatively "equal" fashion. There is likely some key association with pitch, but there is at least as much or more from the use of unequal temperament. Equal temperament I believe to be the eventual outcome of an increasingly scientific minded society that placed high value on standardization. Also, I think that it is fascinating that David is looking into the effect of different temperaments and resonance on different pianos. Thanks David.

    ------------------------------
    Jason Leininger
    Pittsburgh PA
    412-874-6992
    ------------------------------



  • 10.  RE: Improving piano tone through tuning and temperament

    Posted 02-22-2019 15:56
    Hi Jason,

    good point you bring with CPE Bachs note that his father J.S. Bach tempered "most" of the fifths. It is important to know that in old german language "all" was not a used  word at this time, the word "most" was generally used for "all".

    Best regards

    Bernhard Stopper

    ------------------------------
    Bernhard Stopper
    Klavierbaumeister
    Tuebingen
    ------------------------------



  • 11.  RE: Improving piano tone through tuning and temperament

    Registered Piano Technician
    Posted 02-22-2019 17:00
    Thank you, Bernard. This is one of many little references that are misunderstood and blown out of all proportion to make unfounded claims. Another term is "rein" or pure. This was used almost entirely, when applied to temperament tuning, to refer to intervals tuned according to equal temperament, not to just intervals.

    Neither CPE Bach nor his father were interested in pursuing the arguments about temperament that were happening during their time, but they were certainly interested in composing in a style that moved freely between keys without and restraint. It is noteworthy that JS Bach's ORGAN works use notes from E double flat to C double sharp. Try playing that on the normal 1/6 mean tone organ of the time. He was insistent on playing and composing without being constrained by tuning.

    Obviously for both of them the important thing was circularity. The notion that various specific small inequalities in some particular, very carefully tuned temperament had importance to their compositional and improvisatory activities is an invention of the late 20th century. There is no evidence that they did so (and no, Barnes did not actually prove anything in his amateurish adding up of intervals in the first book of the WTC).

    JS Bach famously tuned his harpsichord each day, taking 15 minutes. I'm sure he was particular. I am also sure that this did not imply some intricate pattern. By far the most likely is something along the lines of Werckmeister's tuning sequence published as part of an organ book in 1698 - a book JS Bach is known to have owned. A very simple sequence, in which one goes about one's business pragmatically, with most fifths being definitely narrowed a bit, and maybe one or two fifths might be slightly wide as the circle is closed. Or maybe not. Could any of us distinguish the results from ET, listening to music being played? I doubt it very much.

    ------------------------------
    Fred Sturm
    University of New Mexico
    fssturm@unm.edu
    http://fredsturm.net
    http://www.artoftuning.com
    "We either make ourselves happy or miserable. The amount of work is the same." - Carlos Casteneda
    ------------------------------



  • 12.  RE: Improving piano tone through tuning and temperament

    Posted 02-22-2019 18:22
    Interesting point Bernard.  So "most" always meant "all", or just some of the time? Also, this one point is just a small part of Reinhards argument in his somewhat lengthy book.  The Bach family was aware of Neidhardts equal temperament and could have easily described it, also Bach owned a copy of Werkmeisters book where he went out of his way to make lengthy arguments about the superiority of good temperaments not equal temperament. There really is no way of knowing for sure what Bach used exactly, but we can be sure what Werkmeister was using most of the time. I have read elsewhere that it was common for singers in the Baroque era and before to be able to sing enharmonic intervals and distinguish between say Ab and G#. This same sense for small intervals is found in other cultures as well.  Not to mention the connection in Europe to the old modal system that was derived from the ancient Greek modal scales with the enharmonic species. It would have been natural for them to want to distinguish between the keys after leaving the old modal system.  I don't think that it is far fetched at all to think that musicians of the time had a keen ear for these pitch differences and were also capable of distinguishing between the modes and where the different sizes of intervals were.

    Tuning a harpsichord in 15 minutes says nothing about temperamnent. His daily tuning could have consisted mainly of cleaning up octaves or clearing/tempering certain fifths, which was much easier to do than on a modern piano because of a less strings, less torque, less keys, and very little inharmoincity. Werkmeisters temperamnets are not that intricate, some fifths clear and some flattened by a certain comma amount. Also none of this addresses the fact that there are a greater variety of musical intervals in good temperaments. The difference should be obvious as we are constantly listening to the gradual increase in beating of our thirds as we lay the bearings for our equal temperament, which is how many of us decide whether our temperament is correct. If one is even slightly too fast or too slow we can tell.  This would have been even easier to hear on their low tension, zero carbon wire, with very little inharmonicity. To make harmony, music must explore discord and the greater the variety of discord, as long as it is bearable, the more sweet the resolutions become when we hear them.

    ------------------------------
    Jason Leininger
    Pittsburgh PA
    412-874-6992
    ------------------------------



  • 13.  RE: Improving piano tone through tuning and temperament

    Registered Piano Technician
    Posted 02-22-2019 23:27
    Jason,
    Can you be more specific about the book of Werckmeister you say Bach had "where he went out of his way to make lengthy arguments about the superiority of good temperaments not equal temperament?" Which book? Also, can you elucidate about us being sure what Werckmeister was using most of the time? From what I have read, he expressed different opinions at various times, some quite a bit at odds with others. I assumed a lot of it had to do with those he was exchanging opinions with. 

    One opinion that sticks out for me is his characterization of a 1/4 comma fifth as the howling of a dog or the like (which has particular relevance to his published monochord temperaments). Another is where he said offhand that you could just as easily just make all the fifths equal, and that the reason for not doing so was simply to make the most commonly used keys sound better. He gave no other reason that I am aware of, said nothing about adding harmonic color, for instance.

    As you say, tuning a harpsichord in 15 minutes does say nothing about temperament. In fact, it seems plain, from my years of practical experience as a tuner, that one would simply touch up unisons and octaves as needed, and the tuning would drift over time until it was bad enough that you would go through the whole thing again, taking somewhat longer. Which says something about how finicky you are, especially with a wooden instrument that responds to temperature changes quite rapidly, and where there were no automatic thermostats. It implies a fairly wide range of acceptability.

    I don't find it easier to hear or to make tiny changes to fifths, trying to come up with some particular comma, on a harpsichord compared to a piano. Less torque, negligible inharmonicity, and a smaller diameter pin, yes, but for my part I find it just as difficult to nail a clean unison and octave. I also find it extraordinarily tedious to figure out how to make even a small change to a temperament aurally, since each interval change affects so many other notes and intervals.

    I think of Bach and others as real flesh and blood people, who got up in the morning and put on socks and shoes and went about their business, just like me. When you are busy writing as much music as Bach did, administering choirs and instrumentalists, dealing with higher authorities, teaching lots of students, traveling to get to know new music, having close relationships with a very large family (both immediate and extended), evaluating organs, etc., etc., how much attention would particular quirky details of tuning take up in your attention and list of priorities? 

    I think you would find a simple method to make everything acceptable, and learn to get it done efficiently. And I think that CPE Bach's very brief and not very meticulous way of describing his own tuning probably takes after his father's attitude, as the whole book was largely dedicated to disseminating his father's methods.

    But, of course, I do realize that there are hundreds if not thousands who believe differently. Indeed, there is a whole industry built up over many decades around figuring out "how Bach must have tuned." 
    Regards,
    Fred Sturm
    "The true sign of intelligence is not knowledge, but imagination." - Einstein






  • 14.  RE: Improving piano tone through tuning and temperament

    Posted 02-23-2019 01:15
    Fred, 
    I read many quotes from Orgel Probe and and Musicalische Temperatur (1691) and several other of his publications that I dont recall the names of now, given in Reinhards book that Mr. Pinnegar had posted. I would read the entire thing but have yet to find an English translation. Werkmeister likened a good temperament to something that is more like nature and therefore more beautiful and equal temperaments are not natural. Personally, I agree with this statement.  But that is just one of many of the quotes given about his belief in the superiority of unequal temperaments. Many of them were based in his aesthics and philisohical dispositions. I don't have the time to go back through the book at the moment, but if you read it you will find the others. For this reason I assumend (maybe wrongly) that because of his vocal preference for his unequal tunings, that he likely used them unless the organs he was tuning were supposed to follow a meantone tradition. Yes he did have different opinions at times, and had said that equal temperament was acceptable for some situations. There are other quotes from contempories of Werkmiester about key color. Again Reinhards book contains many quotes from various sources, and explains this much better than I can in a simple post.

    Of course the tuning would drift overtime and the entire compass would need to be tuned again. Practically speaking, a musician would not have been likely to do this daily. But maybe Bach was that fast? I would assume that he would likely clean things up get to work and do a full tuning when the need arose.  Maybe weekly? Tuning a harpsichord is not as laboriuous a task as tuning a modern piano by any stretch. As the instrument drifts the temperament would be likely to become more irregular and when it was too irregular to bear the entire instrument would be retuned. It would be like the woodworker putting off sharpening his plane iron until he started getting tearout.  (Although good artisans would know to sharpen more frequently). I do agree with you that Bach would have done what was simple and fast though, thats how all good artisans work. Not standing in tune as well would add more irregularity faster to instruments than we have today, so in that respect they would likely to have been used to more "key color" or "out of tuneness" simply from instruments drifting faster than they do today with Damp Chasers and iron frames. But that drift would not have been likely to be towards ET. Tuning pure in their day would have easier due the nature of the instruments design, which has now been all but forgotten, and the pure wrought iron and brass wire that is easy to hear the fundamental very clearly on. (Which has not been available for over 150 years until recently from Stephen Birkett)
    Also tuning is not a quirky detail it is a very special natural phenomenon that has been studied since the days of Pythagoras,  and Kepler used his knowledge of it to help him discover the three laws of planetary motion. Proportions, and proportional exploration ruled the arts and sciences for hundreds of years and were held in very high regard until into the 20th century. High arts were governed by the proper use of correct proprtions, simple whole number ratios being the most important for good harmony.

    Overall I am not terribly concerned with conituning a debate on what was actually practiced, but what I think sounds best. Learning about the use of temperament over the course of musical history has helped me reach this decision, and you have been instrumental in that, and I thank you for that.  What I think sounds best is variety, not constant incessant equal temperament on every piano that is recored on and played in concert. This I can say with surety was not the norm in Bachs day. Do I have some vendetta against ET? No, I use it daily to make a living, but would be very happy and eager to use other temperaments should my clients desire.

    ------------------------------
    Jason Leininger
    Pittsburgh PA
    412-874-6992
    ------------------------------



  • 15.  RE: Improving piano tone through tuning and temperament

    Posted 02-23-2019 10:37
    Dear Jason

    I'm with you on all of your approach. It really is about what sounds really good (even best) but to those who have only experienced good equal temperament better than that can be hardly imagined.

     Do I have some vendetta against ET? No, I use it daily to make a living, but would be very happy and eager to use other temperaments should my clients desire.

    The point is that many musicians haven't even come across the subject so don't know that they might desire it.

    One area to start with is where one knows that the only player in the house is a beginner. Then they will be bowled over by the sound and never look back. And the sound is so pure, as I hope my YouTube recordings have demonstrated, particularly the C major Bach and some of the Debussy and Ravel, that the instrument loses its beauty as soon as it starts to go out of tune. That means more guarantee of requests to come and tune so exactly more often, so good for a tuner's business.

    Agreeing with Fred, when not using a Well Temperament, using 1/4 comma meantone deliberately and deliberately playing Mozart in F Minor I tell people that the tuning I've chosen would make a dog want to howl. It's really effective, and intentional in Mozart's 2nd sonata, 2nd movement https://www.youtube.com/watch?v=lFKlNDddWlA and it's so effectively dour, sad, mournful and everything about being buried in the grave that someone widowed recently said they cried and had to stop listening half way through. Of course this IS NOT the tuning that we're talking about for universal use as a replacement for ET, but demonstrates capacity for emotion in the extreme.

    On a secondary subject, a friend tuned Serkin 7th comma meantone on one of my instruments and this is a subtle sort of tuning relying on changing beats rather than pure and less pure intervals. To be frank I found the beating distracting to the music and why I prefer going to stronger temperaments contrasting pure with impure rather than those merely trying not to be ET for the sake of being ET but not.

    Best wishes

    David P
    --
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    David Pinnegar, B.Sc., A.R.C.S.
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    +44 1342 850594





  • 16.  RE: Improving piano tone through tuning and temperament

    Posted 02-23-2019 12:03
    David. Very good point about the piano losing its purity faster when tuned with more pure intervals. I am really thankful for evryones input on this subject and don't want to come across saying what I think the "right" or the "best" temperament is.  I think that the choice will be dictated by the situation and I think researching, as David suggested, how different temperaments effect different pianos is extremely interesting.

    ------------------------------
    Jason Leininger
    Pittsburgh PA
    412-874-6992
    ------------------------------



  • 17.  RE: Improving piano tone through tuning and temperament

    Registered Piano Technician
    Posted 02-23-2019 13:08

    I'm not a big fan of unequal temperaments on modern pianos. First of all equal temperament is a theoretical construct that is essentially impossible on a device made of wood. There is an inherent imprecision that makes the quest for a truely "equal" temperament impossible. Fortunately the human ear is forgiving and mingles the faults into a wonderful perception that is  beautiful, harmonious, and satisfying.

    So I bristle when ET is characterized as boring, vanilla, and "stuck in the past." There is a beauty in the regularity and harmoniousness in equal temperament today.  Modern performance is not harmed by ET.  In some ways ET might be characterized as liberating and free because the performer is not constricted by an unequal temperament that is stuck in the past and may offend modern ears.

    So my stance is don't denigrate ET. I have tuned many an unequal temperament on harpsichords and fortepianos. I like unequal temperaments in that they bring to modern ears what composers of the past actually heard. But, in so far as one can tune ET, it stands tall against any and all would be competitors, and is far from boring to my ears. Or perhaps one could say ET is the ultimate unequal temperament that brings past and present together. ET is never fully achieved, and is, therefore, infinitely, microscopically variable. How's that for exciting!


    Richard West





  • 18.  RE: Improving piano tone through tuning and temperament

    Posted 02-23-2019 15:25
      |   view attached
    Dear Richard

    I understand where you're coming from and tuned ET myself for 25 years with increasing sophistication.

    But the spreadsheet with which I've headed this thread, and attached here again for convenience demonstrates that there is something to be researched in the use of UT on modern instruments, possibly with tonal improvements. There are many UTs and which ones you've used for fortepianos and how you've executed them of course I can't tell, but a dozen years' experience has demonstrated the one that I've used to be capable of universal use and particularly when stretch is not used in the central three octaves.

    This can be critical to the experience. When I was using a stretch, tuning the octave below middle C was difficult and the critical C#F interval could be too wide in particular, to the extent that I was sympathetic to people being dubious about it. For anyone using Tunelab I'm attaching some files of tunings I was doing on instruments on which I was still using stretch successfully. The Steinway Boston tuning file was the one which resulted in the recording https://www.youtube.com/watch?v=1z3o0x4dKJI . The Grotrian tuning resulted in https://www.youtube.com/watch?v=QnYITP11UgQ The Yamaha C2 and G3 instruments were very much appreciated by their owners and the C3 serves for a church both for hymn singing and recitals from time to time. This is the instrument recorded on https://www.youtube.com/watch?v=O7v5jYkw13w with a piece by Paart which is rather good for hearing tuning. The .txt files are the measured inharmonicity files and the .tun files are as tuned these instruments were tuned using Kellner and stretch in those days.

    I'm not here to preach, merely to be able to bring evidence of experiment and recordings over many years to open ears.

    Perhaps you might not like the Paart but I think it records beautifully. The bass is not how I tune now with the recipe given in relation to no middle stretch and the bass tuned harmonically. This recording was early on the learning curve so not perfect. Sorry!

    The result of the unstretched UT in the middle three octaves is that we're then tuning those intervals strictly to their musical scale, to the proportions of vibrations between notes given by the harmony, and then we're tuning the bass to reinforce on those frequencies. In contrast when we tune a good ET from conventional wisdom, we're tuning the harmony creating sounds in the middle to the pattern of stretch between bass harmonics and treble, and then we rely on the piano being a good piano to make a nice sound. This is independent of the music whereas the tuning of the scale to numbers of perfect intervals brings the piano perhaps more into the harmony of the music. Perhaps this might sound a crass explanation and others might come to similar conclusions with other or better explanations, but the fact that others apart from me are coming independently to similar conclusions is rather interesting, and indicates something worthy perhaps of wider investigation.

    "Most musicians" won't necessarily be interested because they've been shielded from the issue and don't know anything about it. What is unknown is often feared. And especially by people who are very proud of having spent £80,000 on an instrument - surely the manufacturers must know best! And will it damage my piano?! Yes there are many misconceptions.

    As I write I'm listening to the Paart and the stillness and vibrations are  . . . sufficient to urge you to hear them. I've overlooked this recording in the past. Perhaps the music is simply innately beautiful but I think the tuning here contributes.

    Whether privately or to the group I'm not sure, probably the group so I'll mention here, Kent has responded with some very valid observations about contracted fifths and the extent to which they're disturbing. In some temperaments I'd agree they might be, but in the two temperaments I know, Kellner and Kirnberger III these temperaments were cleverly arranged. Kirnberger has the perfect major 3rd in C major which brings purity to the triad whilst in Kellner the perfect third is widened to beat as fast as the perfect fifth is narrowed. The beating of the third in the triad masks the beating of the fifth and it's warm. We tend in these temperaments to get really lovely nearer pure thirds in the home keys with the tempered 5ths, and then in the more remote keys we tend to get really pure fifths which make up for the widened thirds, so swinging from one sort of harmoniousness to another. Thus my enthusiasm and findings as recorded in YouTube videos. 

    I'm sure that those with more experience than I might find more from the spreadsheet in terms of resonances, confusion of sustaining pedal and harmonic accord.

    Part of the point of what I'm doing is to bring more appreciation of sound, of harmony to musicians and audiences right from the heart of the instrument. 

    In  due course I'll find some interesting quotes from Anita Sullivan's book "The Seventh Dragon" - the Riddle of Equal Temperament. She's really poetic and writes beautifully and explains the philosophy of getting the instrument in tune with itself. (In fact saying it that way becomes interesting because it's an open admission that the instrument is being tuned to its own inharmonicity rather than to the musical ratios of vibrations of our defined harmonic scale). In her Appendix she mentions UT and compares it to salad and as to whether you choose salad dressing or not. 

    "If you choose a plain salad, you have chosen ET"

    "Then you make the basic selection among basic types of dressings - blue cheese, balsamic vinaigrette, oil and vinegar etc"

    "You must choose between basic types of temperament - meantone, modified meantone, "well", contemporary"

    "If you choose oil and vinegar, then you must decide what kind of oil and what kind of vinegar. But the choices need not stop here."

    "If you have chosen an historic "well" temperament, now you have to make further distinctions - Vallotti, Kirnberger, Bendeler, etc"

    (I haven't come across Bendeler!)

    "Your olice oil may be Spanish or Italian; it may come from a particular area of Italy or California, and be heavy and fruity, or light and mild. Your vinegar may be red or white, and may be flavored with tarragon. . . . The subtle distinctions call forth the utmost discriminating faculties of your palate. Your wellbeing is influenced in ways you are not even aware of!

    And then of course someone forgot to take out the bay leaf. Maybe that is the wolf interval."

    I think many musicians don't know that salad dressings are possible which really do avoid bay leaves and the Bay Leaf has given UT a bad reputation. There are others who simply don't know that salad dressing exists at all.

    And for many of the public who hear classical music, the plain salad has become boring and the variety that musicians are left to give them is between red tomatoes and green lettuce. Students at some Conservatoires are now instructed that they can't play Liszt unless they break strings! We don't need anchovies in our salads! There are more subtle ways of getting variety.

    So I hope that with the experience and recordings given I've been able to cut through the varieties of salad dressings and find ways to guarantee avoiding the bay leaves, so possibly providing the inspiration to persuade musicians to put away the anchovies and to explore beyond the confines of plain salad. No worries - it's safe. 

    Best wishes

    David P

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    David Pinnegar, B.Sc., A.R.C.S.
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    +44 1342 850594



    Attachment(s)

    xls
    temperaments.xls   169 KB 1 version


  • 19.  RE: Improving piano tone through tuning and temperament

    Registered Piano Technician
    Posted 02-23-2019 16:24
    We all have creative ways of describing things. Anita's description falls short and doesn't do ET justice. Every temperament could be described as a different dish altogether. Equally delicious. ET may be the more widely tasted, but it is more than just "plain" salad, and that's what I'm trying to get past. ET is not plain, or vanilla, or boring, IMHO. And I feel the need to stand up and defend ET when I see unfair even demeaning characterizations. That's my main point. A dessert like apple pie with all of its variations is widely appreciated. Hasty pudding, on the other hand, is less well known, but may certainly be very tasty as well. 





  • 20.  RE: Improving piano tone through tuning and temperament

    Posted 02-23-2019 17:03
    Dear RIchard

    Oh dear. Perhaps I shouldn't have included descriptions by others that excite people and take away from  what by experiment, demonstration and recording I've been proving.

    Please listen to the Paart   www.youtube.com/watch?v=O7v5jYkw13w  

    It's all about what sounds good.

    ET might bring harmonicity in terms of best accordance to the inharmonic strings of the piano and I agree that that sounds good as we've always experienced but there are other ways of doing things which do other things that might be valuable too. Put another way, a number of us have discovered something beyond.

    It's all about the music. And as the source of vibration and according them we are at the heart of what the musician produces. Much performance nowadays is with little comprehension of the composer's music and perhaps how we tune our instruments might have had an influence on that. By how we tune we can open ears, not merely sell glistening pianos. 

    Best wishes

    David P



    --
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    David Pinnegar, B.Sc., A.R.C.S.
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    +44 1342 850594





  • 21.  RE: Improving piano tone through tuning and temperament

    Registered Piano Technician
    Posted 02-23-2019 16:45
    The major problem with something like that spreadsheet is that it is too simplistic. (BTW, one quick and easy way to make it far more apparent what there is to see in the spreadsheet would be to eliminate the 2nd, 4th and 8th partials: they are the same for all cases, so they add nothing to the graphic).

    First, it doesn't take into account inharmonicity, by giving "harmonics" rather than "partials" (Obviously those vary depending on the scale of the instrument, but they represent the reality of the situation).

    Second, it fails to note how intervals "line up," in terms of how the various partials of each interval coincide. It is that coincidence (or lack thereof) that creates the sound you hear when playing an interval.

    Third, it fails to note how more complex relationships of intervals coincide and conflict. It isn't as simple as "the thirds and the fifths." Even if we limit ourselves to triads, various inversions and spreads of notes have distinctly different flavors, caused by varying coincidences and conflicts. 

    A closed position second inversion is a simple case in point (let's say G C E), where the major sixth from the bottom note (GE) and the major third from the second from the bottom note (CE) have beat rates that are quite close (in ET) and blend nicely to create a composite beat. However, they are at different partial levels. GE beats at B (3rd partial of E), while CE beats at E (4th partial of E). It is interesting to note that the B is forming a semitone with the 4th partial of C. This is a partial view of what is going on with one example of a close triad, and the complexity quickly multiplies even with the most simple minded actual music. 

    Fourth, and probably most important, is the sound of the instrument with the pedal down. The characteristic sound of the piano is inextricably tied to the sympathetic vibrations of all the strings when you depress the pedal in many different ways. That is completely ignored in any analysis of this sort, and is where a system like that developed in entropy-tuner http://piano-tuner.org/entropy is far more indicative of the actual picture. 

    Bottom line, you have to be thinking of a far bigger picture to come up with anything meaningful in the realm of the subject line of this thread.

    Fred Sturm
    fssturm@unm.edu
    www.artoftuning.com
    http://fredsturm.net
    "Tradition is not the worship of ashes, but the preservation of fire." -Gustav Mahler






  • 22.  RE: Improving piano tone through tuning and temperament

    Registered Piano Technician
    Posted 02-23-2019 14:24
    Hi David,

    I appreciate your private message to me; if you are going to insist upon being civil about all this, I suppose I can offer a few comments. :)

    Over the past few decades a number of prominent techs have reported very positive reactions from their customers to unequal temperaments. But as Ed Sutton and Ed McMurrow point out, those customers' positive reactions may be colored by the fact that they are listening to freshly-tuned unequal temperaments after listening to the drifted, deteriorated ET that had existed on their piano immediately before. (Some of those techs are surely here and might contribute to the present discussion.)

    My experience has been that my customers have shown little interest in unequal temperaments.

    Your categories of tempered intervals are interesting in that they may closely correspond to existing categories, namely, pure, slow-beating, and fast-beating intervals.

    There is an aspect of unequal temperaments that has been left unexplored as far as I know and that is the combination in one triad of various sizes of M3rd and P5th. The well-temperaments often seem to combine slower M3rds with _more_ tempered P5th. Doesn't anyone think that the combination of a slow M3rd with a 4-cent (or so) narrowed P5th detract from the clean sound when the overall sound of the triad is considered?

    The reason I bring this up is that I have spent recent years exploring various widths of equal temperament. During this time I have become accustomed to the balanced P5ths and octaves of pure 12th equal temperament, in which the octave is widened by 1 1/4 cent and the P5th is narrowed by the same 1 1/4 cent.

    I found that while accustomed to pure 12th ET when I deliberately tuned unstretched pure octave equal temperament, I found the 2-cent narrowing of the P5th to be busily unpleasant. And yet unequal temperaments may use a 4-cent P5th together with a slow-beating M3rd and characterize the triad as restful and reposed -- it does not sound restful and in repose to my ear! (And those 4-cent P5ths may explain why unisons sometimes seem busy in unequal temperaments.)

    My point is that if one considers the overall sound of various triads in various key signatures, that the width of equal temperament (from pure octave on the narrow side to pure P5th on the wide side) needs to be considered in the discussion of the overall musicality of unequal temperaments versus equal temperaments. In particular, pure 19th ET and pure 12th ET seem to be often represented as "consonant and coherent" in character.

    Thanks for reading,

    Kent










  • 23.  RE: Improving piano tone through tuning and temperament

    Registered Piano Technician
    Posted 02-23-2019 22:03
    Jason,
    Thanks for referring me to Johnny Reinhard's book, Bach and Tuning (I had glanced at it a few years back, intending to go back to it, and never did). He does a good job of presenting a lot of detailed material about a range of important people. He is a devoted microtonalist, so he does have a particular bent which colors his interpretations. For instance, virtually everybody has concluded that Werckmeister had definitely decided ET was the best way to go by the last years of his life, and Reinhard has to do quite a bit of bending over backwards to try to insist that this was not the case. I don't find his arguments persuasive.

    Still, his basic point about where Werckmeister was coming from - demanding circularity, and railing against mean tone as his major focus - is spot on. He also includes quotes about Werckmeister's reticence in promoting ET at first being in response to general public opinion, not wanting to be shouted down, which is also spot on. This would also explain why JS and CPE Bach wouldn't want to have much of anything to say about how they tuned: why enter that endless irresolvable argument that continues to this day? It's better to spend the bit of time necessary to get a tuning done, then get down to making music, and leave the arguing to others. 

    I would point out that Weerckmeister's temperaments, other than the tuning sequence for ET or quasi-ET, were published entirely in monochord format (fractions of commas or string length numbers). There were no instructions as to how to accomplish them aurally, and I have my doubts whether Werckmeister himself would have been able to. The other most striking characteristic is the fact that only one, the one we know today as W III, is actually a bearable tuning. The others are quite bizarre. This suggests that they, like the majority of monochord tunings published at that time and for centuries before, were intended as purely theoretical exercises, and not practical. They were intended to display his erudition, as he had quite an inferiority complex due to his lack of formal education.

    I have found the focus of temperament scholars on a very few German theoreticians over a short period of time quite puzzling. Based mostly on the theoretical writings of Werckmeister pre-1700, Neidhardt, Marpurg, and Sorge in the early 1700s, and Kirnberger mid 1700s, with some reference to comments by figures like Mattheson and Kuhnau, they weave a story of a flowering of a "good tuning" style, better described as "circular tuning" as opposed to mean tone (I refuse to use the ungrammatical "well" as adjective), with the assumption that there were supposedly multiple variants in common use. In fact, all these major figures but Kirnberger had embraced ET quite early on, so we are actually talking about a period of 50 years or less during which there was a good deal of public discussion, at the end of which mean tone was essentially vanquished by ET.

    The question I would raise is "Where are the aural tuning instructions?" The only practical method I have been able to uncover is Werckmeister's in his 1698 edition of Orgel Probe, until Marpurg and Sorge started talking about how to go about tuning ET. I don't buy the notion that practical musicians of the time had the ability to translate theory into aural practice, nor that they had monochords or used them to tune.

    I see no evidence of a dominant tuning style (analogous to Vallotti) that would have had time to be widespread enough so that it could sink into musicians ears enough to inspire composers to make use of its "key colors." There was a late reaction against ET, principally by Kirnberger, but what did he have to  offer as an alternative? Kirnberger II, starting from D flat, tuning ten just fifths and a just third. That seemingly took the place of the ideal of "temperament with color" as opposed to ET. Other options are mentioned fairly rarely and often obliquely, without enough detail to make them credible as examples of a dominant tuning style.

    German is not my strongest language, and I haven't delved anywhere near exhaustively into this literature, so I'd be happy to be set straight if my generalizations are incorrect. They are what I have gathered from the primary sources I have consulted, together with a good sampling of secondary sources.

    ------------------------------
    Fred Sturm
    University of New Mexico
    fssturm@unm.edu
    http://fredsturm.net
    http://www.artoftuning.com
    "We either make ourselves happy or miserable. The amount of work is the same." - Carlos Casteneda
    ------------------------------



  • 24.  RE: Improving piano tone through tuning and temperament

    Posted 02-24-2019 04:57
    But Kirnberger III was transmitted to Fokker in 1779 so was a style of tuning known. I think Kirnberger II is a red herring. Kirnberger III is a universally usable temperament as is its milder variation Kellner - and very importantly this was a style of tuning known in the 18th century https://www.youtube.com/watch?v=3REzLHO56VE, the results of Alastair Laurence's discovery being quite similar. This takes us back to the idea of simply getting home key triads nice . . . which is exactly what the two tunings with 7 perfect fifths do.

    But the point of my research in experiment, performances and recordings, together with the spreadsheet of scale notes and accordance with harmonics, is that regardless of historical argument, for that is what it is and often I fear argument for argument's sake, such tunings do well for the modern piano and for modern music.

    To keep this thread on track, and that track rather than any historical argument, I've linked to a recording of a piece by Arvo Paart on a modern Yamaha piano    www.youtube.com/watch?v=O7v5jYkw13w    

    Best wishes

    David P
    --
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    David Pinnegar, B.Sc., A.R.C.S.
    - - - - - - - - - - - - - - - - - - - - - - - -
    +44 1342 850594





  • 25.  RE: Improving piano tone through tuning and temperament

    Posted 02-24-2019 12:25
    Fred,
    Here...    http://www.huygens-fokker.org/docs/Kroesbergen_Bach_Temperament.pdf        Is another shorter paper on the subject from 2016 that I just finished reading that leans towards the historic use of ET. I agree, everyone has some sort of of agenda when they do their research. Certain quotes are used that support their ideas and other important ones are ommitted or reinterpreted. For example this book has its own interpretation of the tuning competition between Neihardt and Bach's nephew. An interesting piece of information that I was reminded of from this work was the battle in ancient Greece bewteen Aristoxenus in his Elemneta Harmonika and the Pythagoreans.  Aristoxenus was in favor of tuning and laying out the scales by ear, he says, as practical musicians do, and the Pythagoreans were interetsed in proving everything on the monochord. Aristoxenus explains that even the quarter tones and the enharmonic genus is laid out accurately this way and is more natural because it is more about what is being heard than what is mathematically correct. We see a similar debate today with aural vs. ETD tuning. The author lost me when he began to imply that Aristoxenus was using ET and his reinterpretation of the above mentioned tuning competition. I think this historical discussion has been very fruitful persoanlly in helping to understand all the details of temperament and tuning. It is my belief that the coexistance of different tunings enriches a musical culture and does not detract from it. This is why I applaud David's promotion of UT and would even support a renewed use of modal systems, just intonation etc..... I think many of the recordings that he posted sound wonderful and refreshing and I can notice a prounounced difference between ET and UT.....whether others like it or not is for them to decide. 



    ------------------------------
    Jason Leininger
    Pittsburgh PA
    412-874-6992
    ------------------------------



  • 26.  RE: Improving piano tone through tuning and temperament

    Posted 02-22-2019 17:22
    It's really refreshing to see everyone's responses on this thread and I hope that the spreadsheet might be inspiration for others to forge ahead a little to see what's possibly going on when we bring harmonics and scale together. I'm not very competent with spreadsheets . . . so there might be magic that someone else can bring . . . and there are areas of expertise where others might have ideas . . . How many beats away from a harmonic does a note still resonate? How many beats away from a harmonic gives shimmer rather than merely sounding out of tune? That might alter the colours I've assigned to different categories of intuneness and beyond resonance.

    Mention has been made of Debussy. My experience of Debussy using precise tuning has been . . . well please judge for yourselves, but I like the result - https://www.youtube.com/watch?v=GdFXGkqE-MM

    And Ravel

    On the use of temperament to express emotion in C minor, by the way, https://www.youtube.com/watch?v=hEEjcBdq52U is a very beautifully presentation - although of course taking temperament to the extreme.

    https://www.youtube.com/watch?v=BhNf3zRd5cs is interesting - A flat being notoriously the worst key in unequal temperament and here a modern Yamaha tuned to Kellner.

    As to whether people can hear whether Bach is in an unequal temperament or not I think https://www.youtube.com/watch?v=7JF3YzTG7lU demonstrates the sort of solidity that I'm trying to describe as improving the piano tone.

    Best wishes

    David P
    --
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    David Pinnegar, B.Sc., A.R.C.S.
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    +44 1342 850594





  • 27.  RE: Improving piano tone through tuning and temperament

    Registered Piano Technician
    Posted 02-23-2019 10:44
    Professional piano techncians have experience UT most working days of their lives. Same for pianists. Pianos leave the state of ET and move towards UT by going out of tune. This is especially relevant for those professional tuners work who are masters of the solid, clear unison. That way the musical effect of uneven beat rates is more isolated. I know that this example is not quite the same as experiencing a freshly tuned UT, because octaves will have some beat in the scenario I describe. But a solidly tuned ET piano with a "drifted" tuning does give a differing color to the music.

    ------------------------------
    Edward McMorrow
    Edmonds WA
    425-299-3431
    ------------------------------



  • 28.  RE: Improving piano tone through tuning and temperament

    Posted 02-24-2019 11:46

    Linked below is a remarkable recording of a very fine musician playing his home piano. Living in los Angeles, we can't claim that it was difficult for him to find an adequate piano tuner.

    <https://www.youtube.com/watch?v=iTkrp-LYM3g&t=1581s>
    Ed Sutton,  02-21-2019 12:06
    That is amazing!! 😂😒😜

    ------------------------------
    "That Tuning Guy"
    Scott Kerns
    www.thattuningguy.com
    Tunic OnlyPure, TuneLab & Smart Piano Tuner user
    ------------------------------



  • 29.  RE: Improving piano tone through tuning and temperament

    Posted 02-24-2019 12:02
    It's interesting that this subject should come up now. A customer of mine contacted me about tuning her piano in a UT. She got the idea from these YouTube videos:

    Songs played in four different keys. When his sleeves are blue, he is playing in Thomas Young Well Temperament.  When his sleeves are black, he is playing in Equal Temperament. 

    https://www.youtube.com/watch? v=rOFlvUJHreg

    https://www.youtube.com/watch? v=fb7-dkCMAzE

    https://www.youtube.com/watch? v=6OxXE3GLgJk

    https://www.youtube.com/watch? v=AUgJ4PjNdzI

    ------------------------------
    "That Tuning Guy"
    Scott Kerns
    www.thattuningguy.com
    Tunic OnlyPure, TuneLab & Smart Piano Tuner user
    ------------------------------



  • 30.  RE: Improving piano tone through tuning and temperament

    Posted 02-24-2019 13:20
    Dear Scott

    Brilliant - thanks so much for those wonderful videos.

    There was a space in the linksso they didn't work but hopefully here corrected -  www.youtube.com/watch?v=rOFlvUJHreg
    www.youtube.com/watch?v=fb7-dkCMAzE
    www.youtube.com/watch?v=6OxXE3GLgJk
    www.youtube.com/watch?v=AUgJ4PjNdzI  

    The photos attached of the 19th Century Monochord I acquired from the Colt Collection might be of interest.

    Best wishes

    David P

    --
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    David Pinnegar, B.Sc., A.R.C.S.
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    +44 1342 850594





  • 31.  RE: Improving piano tone through tuning and temperament

    Posted 02-24-2019 14:42
    Wow! What an obvious difference on the Chopin Funeral march in spite of the poor recording. thanks for posting that Scott.

    --
    "For I am not ashamed of the gospel, for it is the power of God for salvation to everyone who believes." -Romans 1:16





  • 32.  RE: Improving piano tone through tuning and temperament

    Registered Piano Technician
    Posted 02-25-2019 22:27
    David,
    Thanks for posting the monochord photos. Do you have the movable bridge that goes with it?

    Seeing an actual monochord can help make real the issue of theoretical versus practical tuning. The device is normally activated by a bow (though it could be plucked). If you were going to use it to tune, you would need first to tune the full string to a pitch source (probably fork or pitch pipe), then insert the movable bridge and place it for the first note to be tuned. Tuning would probably be done by bowing the monochord string, "memorizing" the pitch, then tuning the harpsichord/piano string. It would be possible to check both at once, with some difficulty (bow with one arm, play the key with a finger of the other hand), but not to tune a unison as we normally do, listening for beats to disappear, unless there was a second person involved (unlikely).

    The monochord numbers would likely be like the accompanying illustration from Neidhardt, essentially indecipherable without having a monochord (and note the level of calculated precision). This would be a very inefficient, impractical and inexact method of tuning for many reasons. The placement of the bridge may be slightly imprecise. The transfer of pitch from the monochord to the keyboard instrument is likely to involve at least a small error. And bowing, by its very nature, is imprecise, as the speed of the bow and its pressure against the string affects pitch. Put these together, and the very precise mathematics is only reflected in a fuzzy, general way.

    This reminds me very much of Jorgensen's claim in his 1981 book (the big red one) that if any one note is as much as one cent off, the temperament cannot be called "equal." On the basis of that claim, he made the claim that ET was never practiced before the 20th century, a claim that has been accepted as "truth" and parroted in an extraordinary number of publications, many with scholarly pretensions (masters theses, dissertations, books by professors). The question we should all ask is just how precise a tuning needs to be to "match an ideal model." This is particularly true when thinking of historical practice pre-ETD, when aural was all there was. In any case, what would apply to other temperaments should also apply to ET, in terms of parameters of precision.

    I suspect that any practical musician (like Bach) would look on the monochord theorists with some distaste mixed with amusement. They could probably get the whole instrument tuned in the time it would take a monochordist to tune the temperament and check it. Which is why I decided mostly to ignore the monochord tradition in favor of actual, straightforward aural tuning instructions.

    ------------------------------
    Fred Sturm
    University of New Mexico
    fssturm@unm.edu
    http://fredsturm.net
    http://www.artoftuning.com
    "We either make ourselves happy or miserable. The amount of work is the same." - Carlos Casteneda
    ------------------------------



  • 33.  RE: Improving piano tone through tuning and temperament

    Posted 02-25-2019 23:04
    Here are some quotations from Elements of Musical Composition by William Crotch, London,1812
     
    (Crotch demonstrates tuning problems on a monochord with 1000 divisions to the string length, and gives measurements for equal temperament.)
     
    p. 133 Having seen the impossibility of perfection on an instrument which has any limited number of sounds in an octave, the student may next proceed to the study of temperament, viz^ of the distribution of the unavoidable imperfection resulting from the limited number of sounds.
     
    p.134 On keyed instruments containing only twelve notes in an octave, three major thirds (as C-E, E-G# or Ab, Ab-C or as G-B, B-D# or Eb, Eb-G) make an octave ; but three major thirds tuned perfectly to each other, as c l m n, fig. 32, fall considerably short of the true octave C. Hence in tuning, one, two, or all of the three major thirds, which constitute every octave, must be tem- pered too sharp; and the nearer perfection any of them are made, the worse will the others become. N c is the unavoidable imperfection which must be added either to one or more of the thirds, and if equally divided between them will upon the whole, be least offensive to the ear.

    p. 135 Unequal temperament is that wherein some of the fifths, and consequently some of the thirds, are made more perfect than on the equal temperament, which necessarily renders others less perfect. Of this there are many systems, which the student is now capable of examining for himself.
     
    The book can be found at http://ks.petruccimusiclibrary.org/files/imglnks/usimg/6/6d/IMSLP373150-PMLP602510-elementsofmusica00crot.pdf

    ------------------------------
    Ed Sutton
    ed440@me.com
    (980) 254-7413
    ------------------------------



  • 34.  RE: Improving piano tone through tuning and temperament

    Posted 02-25-2019 23:14
    Incidentally, in a quick scan of Crotch's comprehensive text on common practice harmony, I did not find any mention of "color of the keys."

    ------------------------------
    Ed Sutton
    ed440@me.com
    (980) 254-7413
    ------------------------------



  • 35.  RE: Improving piano tone through tuning and temperament

    Registered Piano Technician
    Posted 02-26-2019 02:22
    There was a series of Journal articles quite a while back, I think they were titled A Brief History of Tuning which addressed as I recall the history leading up to the periods of keyboard tuning discussed here. Non technical, it dealt with the sociology and politics in music circles surrounding the issue of tuning and the tensions between the theorists (the Church) and the practitioners.
    I can't find it online and don't have the cd's but I think it's a worthwhile read relative to this fascinating conversation.

    ------------------------------
    Steven Rosenthal
    Honolulu HI
    808-521-7129
    ------------------------------



  • 36.  RE: Improving piano tone through tuning and temperament

    Posted 02-26-2019 06:59
    In common with many reading this thread my focus is on what the unequal temperaments can do for music, for interpretation of music and for improvement of piano tone now, and to which historical argument is at least secondary if not irrelevant.

    Crotch does mention unequal temperament and it's apparent from the key use of Haydn, Mozart and Beethoven that they were in an environment where key mattered. http://staff.washington.edu/marzban/music.pdf

    What does a key do? It unlocks a door. Where does the door go? To a different place. In the Italian they shortcircuit the language of "key" entirely and refer to a different tonality. Where does the Chromatic scale go? Through a spectrum of different sounds as in a rainbow. To a different colour.

    Our language came from our sounds but our sounds have been blunted by equal temperament such that the language has no meaning. And nor does the music for many performers nowadays. This is why the investigation into other than vanilla ET Piano temperament is worthwhile.

    It's well worth exploring those colours with Scriabin, and even with Paart https://www.youtube.com/watch?v=O7v5jYkw13w Do I hear in that recording something different to that which we would hear in standard piano tuning?

    On the use of the monochord so many people referred to the monochord that it cannot be dismissed. My monochord demonstrates either that Equal and Just based tunings were in use in the 19th century at the same time, or if it came from the Estate of Helmholtz itself, that both were a matter of his research. The Equal Temperament section is accurate to a large degree except from memory the G in the scale which was off by 1 cent or so.

    The assertion that ET in terms of what we experience now wasn't in use until the 20th century isn't to be dismissed either. We've seen from Erard's instructions, as well as practical challenges of using a monochord, that room for error and personal taste was significant certainly into the early 20th century in contrast to the very strict and very standard tunings we experience now.

    However the above is really irrelevant to the issue of what does well for music now. What does well for piano tone now.

    That's the relevance of the Arvo Paart recording on which all have been silent. Probably simply a matter of being too polite to tell me that the unqual temperament makes no difference at all . . . 

    If that's the case, no controversy and people then can use it with impunity. 

    There's an interesting thread where clearly an amateur has had technical problems http://forum.pianoworld.com/ubbthreads.php/topics/2802098/2/is-there-a-cure-for-bent-tuning-pins.html . Incidental to that thread is his discovery of the effect of using Kirnberger III on his instrument - He raves over the result   "A good test was the first line of Chopin Nocturne Op 9 No 1. Much more what Chopin intended ."
    and says
    " It`s amazing that professional tuners refuse to deal with uneven temperaments like that . 

    So there a musician are laying down the challenge to those tuners who want to do things the way they've always done it  - and those tuners will lose out. 

    And there's another thought too, that so many musicians have come independently to the same conclusions about the benefits of unequal temperaments that clearly they and I, independently, must be all insane.

    Only those who say that Equal Temperament was used and always intended and is quite good enough are right. And from the indications, those right tuners will be the ones who before long will be missing out. Dead right, as my Grandfather would say.

    Best wishes

    David P
     

    --
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    David Pinnegar, B.Sc., A.R.C.S.
    - - - - - - - - - - - - - - - - - - - - - - - -
    +44 1342 850594





  • 37.  RE: Improving piano tone through tuning and temperament

    Posted 02-26-2019 08:36
    In the 1990s, when I began exploring unequal temperaments, I felt I had discovered one of the great, unrecognized deep mysteries of the universe. I wanted to convert everyone to my new belief system, sure that it was the only true musical way to tune pianos. Over time I found myself favoring less and less unequal temperaments, finally returning to equal temperament. With the recent discovery of the P12th tuning (and the ability to tune it accurately with CyberTuner and OnlyPure digital programs) I find I am now hearing the resonant capacities of the piano differently, and I enjoy the fullness of sound. It seems to me that this tuning allows greater tonal nuance through pedaling, and that the sound of my humble U-1 is more beautiful than ever. I don't know where my opinion will go next.

    There are other issues in musical interpretation after the piano is tuned, possibly far more important than temperament.

    Musically, I have been challenged for decades by the expressive possibilities described in Cooper and Meyer's Rhythmic Structure of Music and by Malcolm Bilson's Reading the Score. Unlike variant tunings, these approaches to interpretation require active involvement and continuous decision making in performance, rather than just listening to the tuning variances of different chords. To me this is a more vital involvement with the music, one I will struggle to master for as long as I can play the simplest piece. It is an approach that offers the search for interpretation every time I play a piece.

    ------------------------------
    Ed Sutton
    ed440@me.com
    (980) 254-7413
    ------------------------------



  • 38.  RE: Improving piano tone through tuning and temperament

    Registered Piano Technician
    Posted 02-26-2019 15:48
    David,
    So you think it possible your monochord came from Helmholtz' estate? That would make a lot of sense. He was very interested in just intonation, and wrote extensively on different tuning patterns in his book. I forget if it was him or Alexander Ellis who got a harmonium maker to create a harmonium that would produce just intonation in all keys as a teaching tool. It had about 51 - 53 notes per octave, and looked something like the ones whose pictures I will insert here.

    Dividing the octave into more than 50 notes.
    Harry Partsch read about it, and managed to get the same harmonium maker to make him one. It became part of his microtonal composition movement, though he mostly steered clear of keyboards thereafter.

    As for your claim, "My monochord demonstrates either that Equal and Just based tunings were in use in the 19th century at the same time," it does absolutely no such thing. Just tuning is something almost all musicians studied, but it was never a successful tuning on a fixed pitch keyboard instrument. The monochord was undoubtedly an educational tool, not a practical tuning tool.

    If you want to explore just intonation, try this link, where you will find demos and an app to calculate and produce a constantly adapting just intonation, I assume from a midi file input.

    BTW, just intonation has ZERO key color. Every interval is just, beatless (except you run into trouble as soon as you get beyond your first six notes, not to mention the black keys). It only works "adaptively," with musicians playing flexible pitched instruments and adjusting on the fly, almost only when the tempo is quite slow and intervals are exposed for long enough periods of time to be heard in detail.

    ------------------------------
    Fred Sturm
    University of New Mexico
    fssturm@unm.edu
    http://fredsturm.net
    http://www.artoftuning.com
    "We either make ourselves happy or miserable. The amount of work is the same." - Carlos Casteneda
    ------------------------------



  • 39.  RE: Improving piano tone through tuning and temperament

    Registered Piano Technician
    Posted 02-26-2019 10:17
    Ed,
    Concerning Crotch, it may interest you to know that A. J. Hipkins (the Broadwood tuner who became quite an important scholar and performer) reported that he consulted Crotch when he was charged with teaching all the Broadwood tuners to tune equal temperament. I'll note that this meant all the tuners in Broadwood's employ, which was quite a large number, as they operated an enormous tuning and maintenance service quite separate from factory and showroom operations. 

    In the 1840s, Henry Fowler Broadwood (grandson of the original John Broadwood) became concerned about the quality of tuning offered by the firm, and charged Hipkins with remedying the defects. Hipkins was quite young, as he had started in the firm as an apprentice tuner at the age of 14 (1840), but was such a quick learner and extraordinary talent that he was given charge of Chopin and his piano needs during the 1848 tour or England. 

    Hipkin's training of tuners (many of them old enough to be his father or grandfather) took place around 1846, when he was 20. The phrase "He introduced equal temperament to England in 1846" comes from reference to this training program, but clearly, by testimony of James Shudi Broadwood, Crotch's book, and other documentary evidence, ET had been used in England for decades, probably since before 1800, though it seems that mean tone had persisted alongside it. 
    Fred Sturm
    fssturm@unm.edu
    www.artoftuning.com
    http://fredsturm.net
    "Tradition is not the worship of ashes, but the preservation of fire." -Gustav Mahler






  • 40.  RE: Improving piano tone through tuning and temperament

    Registered Piano Technician
    Posted 02-26-2019 10:30
    But Fred,

    Are we talking about true ET here, or simply a rough approximation of our understanding of ET along the lines of what we would now call Victorian temperament?

    Then, as we know, there's plenty more to good tuning than just the temperament. Maybe they were just sloppy and needed help with octaves and unisons too. Do we really know?

    Pwg

    ------------------------------
    Peter Grey
    Stratham NH
    603-686-2395
    pianodoctor57@gmail.com
    ------------------------------



  • 41.  RE: Improving piano tone through tuning and temperament

    Registered Piano Technician
    Posted 02-26-2019 10:46
    I have about a half dozen clients that I tune UT for. They are all classical pianists almost exclusively. The one common denominator that seems to exist among them is "resolution". They like the ability to hear (or create) tension and then be able to release it. This is what they like about the UT,  and I am only tuning EBVT for them. Very mild, but they can hear the difference and they like it. I have not moved any of them into anything more historical such as Young or Kirnberger, etc.

    What I am interested in regarding UT is demonstration as to why THAT key was selected for THAT music. What decisions were made by the composer to select that key for that piece. What would THAT music sound like transposed to other keys on the instrument in UT?  I think that would be instructive. I have yet to see/hear this kind of demonstration, though years ago at a PTG convention there was just that. It was eye-opening (or ear-opening).  I would like to hear more like that. It takes quite some ability to be able to instantly transpose music from one key to another so as to demo this.

    Anyone know of a recording along this line?

    Pwg

    ------------------------------
    Peter Grey
    Stratham NH
    603-686-2395
    pianodoctor57@gmail.com
    ------------------------------



  • 42.  RE: Improving piano tone through tuning and temperament

    Registered Piano Technician
    Posted 02-26-2019 11:33
    I presume Bill Bremmer's EBVT. Which one?

    ------------------------------
    Larry Messerly, RPT
    Bringing Harmony to Homes
    www.lacrossepianotuning.com
    ljmesserly@gmail.com
    928-899-7292
    ------------------------------



  • 43.  RE: Improving piano tone through tuning and temperament

    Posted 02-26-2019 12:06
    Peter - your experiences are really interesting. One of my good friends is a member here and probably reading this series of posts with quite interest. He and I have been pendulum swinging between ET and the most UT one can experience so have tried an equal beating as well as the Serkin temperaments. Your mention of musicians liking the ability to set up tension and then relax is exactly spot on and gives a real tool for emotive expression. I often demonstrate this with the C# F G# triad relaxing to the C F and A F major inversion together with a move from C# in the bass to F below. Another demonstration is the triad of F minor and C minor, both with narrow minor thirds and wide major thirds in contrast to A minor which sounds as though the sun shines out of it in comparison.

    Next time you visit one of these customers ask them if they might like to try something a little stronger and I don't think they'll be disappointed with Young or Kellner. Roshan Kakiya with 6 perfect fifths is in the same family as Young and Vallotti so I'm sure that that's good too.  I haven't tried Young but others have, whilst Kellner has been universally liked by all who I've done it for. It's not about being historical but giving a tuning that gives very beautiful resonance and solidity.

    None of the people I have tuned for complain of lack of consistency. This may be partly because the rewards of inconsistency are greater. 

    For those with access to a MIDI keyboard, a simple laptop and an amp and speakers, trying the free trial of www.pianoteq.com can answer a lot of questions. I think also you can choose an unequal temperament and move the circle of fifths around to test the different keys at the same pitch, transposing the scale rather than the music.

    Best wishes

    David P

    --
    - - - - - - - - - - - - - - - - - - - - - - - -
    David Pinnegar, B.Sc., A.R.C.S.
    - - - - - - - - - - - - - - - - - - - - - - - -
    +44 1342 850594





  • 44.  RE: Improving piano tone through tuning and temperament

    Registered Piano Technician
    Posted 02-27-2019 09:16
    The Fisk organ company built a number of instruments that had (I believe) 17 pipes per octave. Only 12 worked at a time and there was a switch that allowed the player to choose which 12 thereby selecting between two temperaments. If my memory is correct (I have this CD somewhere!!) this CD has recordings in both temperaments, including at least one piece back to back in the different tunings. 


    Erich Borden, RPT





  • 45.  RE: Improving piano tone through tuning and temperament

    Registered Piano Technician
    Posted 02-26-2019 10:56
    Peter,
    What does "true ET" mean? What are the parameters that determine it?

    What are you calling "Victorian temperament?" Does it mean an ET that is not so precisely set? Or does it mean a conscious attempt to do a specific shape that is different from ET? In the latter case, how precise are your parameters?

    In my opinion, there is no such thing as "Victorian temperament" (defined as some specific shape(s) developed and promulgated during the Victorian era). Owen Jorgensen invented the term, and he based his "discovery" on the appendix by James Ellis in his translation of Helmholtz. His analysis of Ellis' measured tunings was fatally flawed in many ways, including his admitted major changes to two of the measured temperaments, not to mention various other questions that would arise for anyone with an honest scientific bent. 

    I recently read Keatly Moore's Manual of Piano Tuning. It is very interesting in that Keatly Moore is the son of the Moore who owned the harmonium company and trained the tuner of the instrument Ellis measured - which was the basis for Jorgensen's "Victorian Moore temperament." Read for yourself about how proud they were to have come so close to ET, and Moore's commentary on precision. Then reconsider the questions I posed in my first two paragraphs.
    Regards,
    Fred Sturm
    "The true sign of intelligence is not knowledge, but imagination." - Einstein






  • 46.  RE: Improving piano tone through tuning and temperament

    Posted 02-26-2019 13:32
    There is also a possibility that for quite a awhile "equal" temperament for many practical musicians simply meant that all the keys could be used. This intrepretation makes a lot of sense to me. That it simply meant that full chromatic modulation was possible.  Whether you achieved it using, 6, 7, 8, or all fifths narrowed was a matter of preference.  It makes sense that the piano industry, Braodwood in this case, would want to push a standard.  Industries like standards, but before the dogma of ET really captured the the industry, I assume that it was not a sin to tune some of your fifths pure if that is what you preferred, as long as you made all keys usable. The broadwood tuners before Hipkins likely did not have a standard and were all tuning various good temperaments and this made the company look disorganized and unprofessional because Tim Smith's tuning didn't sound like John Coopers'. This argument is a great point to make for the existence of Victorian temperament, which could have simply meant that during this transitional period towards "true ET" tuners had different ways of making all the keys useable,.....forget about all the impractical monochord constructions, that were simply trying to describe an actual organic process that they observed in the tuning world. "Victorian" temperament was likely a very real thing that was happeneing, but it was not easy to describe. This would account for the all of the monochord divisions and impractical, often non working instructions published in Jorgensons book.  During the 19th century this kind of thing was common throughout every trade. People were becoming used to having everything standardized and it took some time and some coaxing. Like when Stanley made tansitional wood/metal hand planes for the old timers who they were trying to convince to move to all metal. Old customs don't die easy and the victors often write history.

    The current problem that I have with ET is that in some ways it seems like dogma.  There is clearly a difference between ET and unequal temperament. That has become very clear to me by listening to the many instructive videos posted here by David and others. Do the keys have different colors? Yes of course they do, because the intervals have different sizes depending on what your key you are in. This is not a subjective matter it is a scientific fact.  Whether one can hear it or appreciate it is a different matter.  Why not not encourage its use? It adds something different to our musical experience....while at the same time it interferes with the industry standard....woopsy.  Again I quote Plutarch "Music to explore harmony must investigate discord".

    ------------------------------
    Jason Leininger
    Pittsburgh PA
    412-874-6992
    ------------------------------



  • 47.  RE: Improving piano tone through tuning and temperament

    Member
    Posted 02-26-2019 14:51
    Some years back I created an interactive demonstration of the sounds of all major and minor triads, for Equal, Young, and Meantone. The demo presents six of my "rollingball" charts; you click on any column and the triad sounds for 4 seconds. It might be worth your while (whoever is following this unending thread) to take a look.
    Caveat: the triads are recorded on a Kurzweil Stage piano, not a real piano - because I didn't want to take the time to tune the piano three times. So the interplay between the harmonics is not what you'd get on a real piano. And you have only the triads from CEG 3 to CEG 4, no inversions, no notes outside the range C3-G4. But the gist is there. Also, it's interesting to be able to play the wolf or the extreme thirds.
    I'll post the link below this, but if there is any problem accessing it, you can just go to rollingball.com and click on the link for "The Sounds of Temperament." 
    http://www.rollingball.com/TemperamentSounds/story.html

    ------------------------------
    Jason Kanter
    Lynnwood WA
    425-830-1561
    ------------------------------



  • 48.  RE: Improving piano tone through tuning and temperament

    Posted 02-26-2019 16:57
    Dear All

    Please excuse me for having the greatest difficulty in seeing who's saying what and replying to which in the digest email feed from which I'm gleaning only a smidgeon perhaps of whatever anyone's saying.

    Kellner is documented on http://www.hpschd.nu/tech/tmp/kellner.html and Carey Beebe is a real hero to have compiled aural tuning instructions for so many temperaments.

    The comment about Claire de Lune tuned to Kellner https://www.youtube.com/watch?v=NXVShKy0LP4 is interesting and relevant in so far as the question is concerned in the nature of "Does the UT damage appreciation of music not written for it". The YouTube comments on that video, for what they are worth, are favourable, so I don't take the answer to the question there for a no. I was then using the tuning system for which I've supplied the TuneLab .tun files for "Library Bechstein" rather than my current practice of central three octaves straight without stretch. Other examples from the same recital are linked from https://www.youtube.com/results?search_query=Sachiko+Kawamura+unequal+temperament with items from Tchaikowsky and Schumann https://www.youtube.com/watch?v=Wd0o7qzIGz8.

    The comments on these videos are interesting for none are derogatory - https://www.youtube.com/watch?v=kTJzZawHRSM 
    "worth it to the very end. What an expressive instrument! It sure seemed as if the instrument was speaking over the years to the player. "
    "Lots of sweetness here, that's for sure"

    https://www.youtube.com/watch?v=AyXbLgcb1sg has received no comments but has open enough harmony to produce effects objectional enough if appropriate. 

    It's when we get into Beethoven that we start to get relevant enthusiasm https://www.youtube.com/watch?v=1O9vHGQm0UY

    The enthusiasm with which I come to the forum and amongst I know to be the greatest of professionals stems from long experiment and trials of the A-Z of repertoire, here https://www.youtube.com/watch?v=sboyVManGAk Benjamin Britten. I think Britten would have been enthusiastic.

    For those who like jazz - https://www.youtube.com/watch?v=wwbeh6xQJjM subject to the caveat that I'm never satisfied by the tuning of the bass of that baby grand - and perhaps others can sympathise with that in any temperament.

    Best wishes

    David P




    --
    - - - - - - - - - - - - - - - - - - - - - - - -
    David Pinnegar, B.Sc., A.R.C.S.
    - - - - - - - - - - - - - - - - - - - - - - - -
    +44 1342 850594





  • 49.  RE: Improving piano tone through tuning and temperament

    Registered Piano Technician
    Posted 02-27-2019 23:11
    Jason: Thank you for link.I would not be able to do that acoustically. That is so neat I am going to save it. Perhaps you are a person who could answer some ET interval questions as they relate to spinet vs full size pianos please. I rarely see the later but quite a few of the humble beginners.
        #1: Is it ever acceptable in ET for contiguous M6ths that the lower beat faster than the upper?
        #2: How are tri- tones supposed to beat especially in the bass where the bi-chords start? Increase as you go up or something else? On some of the smallish pianos; all tri-tones beating equal seems to be good, and on the few large pianos I hear various schemes that seem to work.



  • 50.  RE: Improving piano tone through tuning and temperament

    Member
    Posted 02-28-2019 13:50
    Paul, thanks for your note and questions.
    In general all beat rates should slow as you go down the scale. The issue with spinets is that in the transition to wound strings, the higher partials jump a bit higher, which reverses the trend and can result in beat rates changing direction for a bit. You have to choose which partials to favor, and try to ignore the rest. Probably the tenths are preferable to M6.
    Tritones don't have a useful beat; the location of the beating interval is 3 octaves above the upper note (the 8th partial of the upper vs the 11th partial of the lower); you're better off using M6 down in the bass.
    | || ||| || ||| || ||| || ||| || ||| || ||| || |||
    jason's cell 425 830 1561







  • 51.  RE: Improving piano tone through tuning and temperament

    Posted 02-26-2019 12:50
    This remonds me of the famous tuning competition mentioned in Reinhard's book.  If I remember correctly, Neidhardt used a monochord to tune equal temperament to an organ and according to Reinhard Bach's nephew tuned another organ by ear using an unequal circulating temperament and Bach's tuning was judged by everyone to be far better. Afterwards is when Neidhardt revised his book, recommending unequal temperaments for certain situations....He reserved equal temperament for the Court, and unequal for the town, and meantone for the the village.  But according to another source that I posted earlier, (obviously in favor of equal temperament) they interpreted it as......both men used "equal" temperament, its just that Bach tuned it by ear, which was the only practical way of tuning an organ, the monochord being simply for experiement and research only. Whatever the case, the monochord is a very useful and practical tool for research and experiment because it connects what the ear hears to numbers and distances that the eye can see, which I find to fascinating.

    ------------------------------
    Jason Leininger
    Pittsburgh PA
    412-874-6992
    ------------------------------



  • 52.  RE: Improving piano tone through tuning and temperament

    Registered Piano Technician
    Posted 03-01-2019 05:00


          Jason: Thanks for reply. Tri-tones seem to lack good press coverage. Sorry to hear you say they have no useful beat when they seem to be so prominent especially in the area I mentioned in the bass where bi-chords start. Thought/hoped they might be simply useful like the first slice of  an actual apple pie . Oh well. Thought the location 3 octaves up might be a plus.

        Could you add anything more on my first question about contiguous M6ths not just over the transition but the entire bass in general?---
    PS: Re. T-tones. By where bi-chords start I mean next to the singles.


  • 53.  RE: Improving piano tone through tuning and temperament

    Posted 02-26-2019 11:42
    This is a fascinating topic.

    Well temperaments contain intervals of unequal size which may give the impression of "key colour". The variation in the size of the intervals causes some of them to be closer to, and some of them to deviate from, their just counterparts. I am talking about 5-limit just intonaton in this case. This may explain why some intervals sound more stable than others and vice versa.

    However, the inconsistency of well temperament can be a drawback if consistency is favoured. People who want consistency may favour equal temperament because of its regularity.

    Every interval in 12-tone equal temperament deviates from its just counterpart except for the octave. Therefore, harmony seems to have been compromised too much to achieve regularity which could be a drawback of equal temperament for people who want better harmony.

    I think one of the best ways to reconcile the differences between equal temperament and unequal temperament is by creating a compromise temperament that includes the benefits of both. This is what inspired me to produce a compromise temperament that I have called Roshan Kakiya's Well Temperament:

    https://my.ptg.org/communities/community-home/digestviewer/viewthread?GroupId=43&MessageKey=24d4bbfe-b437-47ca-96a0-3d02a93bc621&CommunityKey=6265a40b-9fd2-4152-a628-bd7c7d770cbf&tab=digestviewer&ReturnUrl=%2fcommunities%2fcommunity-home%2fdigestviewer%3fCommunityKey%3d6265a40b-9fd2-4152-a628-bd7c7d770cbf

    A chart of this temperament is available here under the Modern Well section:

    http://rollingball.com/TemperamentsFrames.htm

    There are 6 pure fifths and 6 tempered fifths which means this temperament lies in the middle between the ideal scenario (12 pure fifths) and equal temperament (12 tempered fifths). This temperament is equally unequal. Its inequality could provide "key colour" which seems to be a characteristic of unequal temperament and its symmetry could provide the consistency of 12-tone equal temperament.

    It is compromise temperaments such as this that may help to conclude debates about equal temperament vs unequal temperament. I think a balanced approach is the best way forward.

    ------------------------------
    Roshan Kakiya
    ------------------------------



  • 54.  RE: Improving piano tone through tuning and temperament

    Registered Piano Technician
    Posted 02-26-2019 13:09
    David,

    Please point me in the direction of aural instructions for tuning Kellner. I want to give it a try. What I saw from one of your posts on PW I had difficulty understanding and dropped it. 


    Fred,

    Okay, I hear you. I'll answer the first questions (for now) first. It will take me a while to wade through that book. 

    What I was referring to as true ET is our current acceptance of nearly perfect ascending 3rds and 6ths (on a decent enough piano to actually do it), while maintaining contracted 5ths and expanded 4ths (the specific degree of these being negotiable).

    What I would refer to as "Victorian temperament" would be an understanding on the part of the tuner that all 5ths are contracted a little, and attempting to tune ET solely on this criteria (which is pretty difficult to do). Yes, the result would be a somewhat sloppy version of what we now refer to as ET, and being somewhat unequal would in fact give some color to the keys, albeit somewhat different in flavor based on the tuners particular "skewing" of intervals. Each tuner would impart his/her own version (somewhat like WT). None of them though would impart the degree of consonance to the simpler keys that WT is capable of doing.

    Don't get me wrong...I am not attempting to redefine anything. This is simply my "view" of the matter so we're kind of on the same page.  It may not be accurate and im open to constructive criticism. 

    My biggest interest in this is: "Just how did the composer hear it so as to pick that key"?

    For instance the recording above of Clair De Lune in UT, I personally do not like. I think it sounds much better in ET.  Since it is one of my personal favorites I know it well. I doubt that Debussy would have chosen that key if he was composing in a WT.  IMO only!  But I would love to hear it played in other keys to compare. This I have never heard. Same with Chopin' s funeral march. The comparison is great, and clearly sounds more depressing and morbid in UT. However, it would be cool to transpose it to B minor or C minor and hear the difference.

    Pwg

    ------------------------------
    Peter Grey
    Stratham NH
    603-686-2395
    pianodoctor57@gmail.com
    ------------------------------



  • 55.  RE: Improving piano tone through tuning and temperament

    Registered Piano Technician
    Posted 02-26-2019 15:22
    Peter,
    No need to wade all the way through the Moore book, just read the first three pages of the introduction. That contains most of what I was referring to. 

    It sounds like your interpretation of "Victorian" would be a randomly less than equal temperament, executed by someone who was trying to, and stated that he was intending to tune equal temperament. I'm not really clear on the notion that "Each tuner would impart his/her own version." This implies having a different aim in mind, and, most importantly, knowing how to achieve that aim.

    Jorgensen tried to get around the question of method by saying they "listened to the color qualities and not the beats of the thirds and sixths," and relied on "their aesthetic quality judgments" to preserve "the traditional character of the keys." He claimed that, "Nineteenth-century tuning by ear was a highly developed art based on aesthetic judgments for every tone."

    My first experience tuning was on a clavichord I purchased when I was 19. I had no training, but my life had been filled with music, so presumably my ear would be judged by Jorgensen to be imbued with ET. Still, I had a "musical ear," having sung and played piano for 13 years, oboe for six. I set about to tune using my musical ear. I tried tuning by using chromatic scales, major and minor scales, arpeggios, chords. I chased my tail until I was dizzy, and finally called it good enough and proceeded to play the instrument, occasionally changing a note if it sounded pretty bad. The change would mostly make something else sound bad. 

    So when I read Jorgensen's claim about nineteenth century ears, and their ability to tune based on aesthetic judgments, I was completely unable to swallow that. I still can't. Tuning is done by method. Everything will not work out aesthetically. We are defeated before we begin unless we have the knowledge that everything must be compromised, and have at least a rote sequence to follow.
    Regards,
    Fred Sturm
    "A mind is not a vessel to be filled, but a fire to be kindled." Plutarch






  • 56.  RE: Improving piano tone through tuning and temperament

    Posted 02-26-2019 15:34
    I have tried many UT's and have settled on Ron Koval's series of temperaments. Most of my classical pianists love Koval Vic. EqWell, I like to call ET tuned in a Well format. I tune for  music school and all the class room pianos are in EqWell (KVEW). Their two performance grand, I keep in Koval Victorian (KVVT).  I still Tune ET for the few brainwashed pianists :-)

    ------------------------------
    Regards,

    Jon Page
    mailto:jonpage@pianocapecod.com
    http://www.pianocapecod.com
    ------------------------------



  • 57.  RE: Improving piano tone through tuning and temperament

    Posted 02-26-2019 20:52
    Here is Kellner's formula, from his book The Tuning of My Harpsichord (1980) Kellner was a theoretical physicist who wrote on the physics of the harpsichord. By studying Baroque Musico-theological spirituality, numerology and the design of Bach's signet ring he was able to reconstruct the tuning for which the Well-tempered Clavier was conceived.[ A humble claim!]

    ------------------------------
    Ed Sutton
    ed440@me.com
    (980) 254-7413
    ------------------------------



  • 58.  RE: Improving piano tone through tuning and temperament

    Posted 02-27-2019 10:35
    This thread is not about how Kellner came to devise a temperament - in spirit it's a clear derivation of Kirnberger III. 

    This thread is not about historical argument.

    It is about the tool of temperament in bringing musicality, resonance, clarity and better tone to the piano.

    It is about music now, pianos now, performers now, and how now we might bring new life to musical enthusiasms now. 

    Many have shied away from alternatives to equal temperament on account of confusions - there are many temperaments - misunderstandings - Unequal Temperament has been a term which has wrongly conjured up difficulties of playing in all keys and growling wolves - unsuitability for use on modern instruments and modern music - in essence all matters of myth rather than fact. Together with perhaps the one-foot-in-the-grave attitude of "why bother? ET has served quite good enough". On all fronts I've bust the myths with the corpus of YouTube recordings over a decade, and musicians beyond my circle have been exploring and championing UTs.

    For all the rotten tomatoes that anyone likes to throw at Kellner, his tuning solution works, works well, and for those who don't like signet rings there's Young and Kirnberger III as valid alternatives.

    The defocus away from whether one of the temperaments works for modern instruments and modern music is a red herring which demonstrates those factors which have been holding the instrument, performance and musicianship back, leaving music to cease relevance and piano technicians' skills to die.

    Best wishes

    David P

    --
    - - - - - - - - - - - - - - - - - - - - - - - -
    David Pinnegar, B.Sc., A.R.C.S.
    - - - - - - - - - - - - - - - - - - - - - - - -
    +44 1342 850594





  • 59.  RE: Improving piano tone through tuning and temperament

    Registered Piano Technician
    Posted 02-27-2019 10:52
    David,
    While one might like to control "one's own thread," that is generally as successful as herding cats :-)

    If you want to try to keep the thread focused away from historic practice, you would do well to avoid making spurious historical claims, like saying that the existence of a monochord set up to produce ET and just intonation is "proof" that just intonation tunings were used in England in the 19th century. 

    Some of the contributors to the thread have brought up historical issues. Where the points being made needed some clarification/correction, I have contributed. I will continue to do so when such historical issues come up in the conversation. I am and will remain adamant in trying to quash the enormous amount of historical disinformation surrounding the question of historical tuning practice, You are a notable contributor to that disinformation, as in your thread on the "Erard tuning," which you claimed was proof that Debussy used something like Kellner. Hence, you will tend to find me hanging around.

    You might as well get used to it.
    Regards,
    Fred Sturm
    University of New Mexico
    fssturm@unm.edu
    http://fredsturm.net
    www.artoftuning.com
    "Education is not preparation for life; education is life itself." John Dewey






  • 60.  RE: Improving piano tone through tuning and temperament

    Posted 02-27-2019 11:02
    Dear Fred, 

    I did not say that the monochord in my possession was proof that just tunings were in use in the 19th century, being aware of the possible connexion of the instrument with Helmholtz and being aware of his interest.

    Alastair Laurence of Broadwoods is of the mind that ET and non-ET coexisted in the 19th century.

    The Erard instructions for tuning contain such room for error that it's apparent that the extreme standardisation that we experience today is a very different context from the nature of music making in the time of Debussy.

    All of this is irrelevant to how tuning with a non-ET temperament can improve music making today and it's apparent that you don't understand.

    If the past is all that you've got to hold on to then you, and music making, will stay in the past.

    Best wishes

    David P

    --
    - - - - - - - - - - - - - - - - - - - - - - - -
    David Pinnegar, B.Sc., A.R.C.S.
    - - - - - - - - - - - - - - - - - - - - - - - -
    +44 1342 850594





  • 61.  RE: Improving piano tone through tuning and temperament

    Registered Piano Technician
    Posted 02-27-2019 12:55
    David,
    You wrote, " My monochord demonstrates either that Equal and Just based tunings were in use in the 19th century at the same time, or if it came from the Estate of Helmholtz itself, that both were a matter of his research." I grant that you used the words "either/or," but in plain English that means that if it didn't come from Helmholtz' estate, you claim the existence of your monochord demonstrates that "Just based tunings were in use in the 19th century."

    As for being stuck in the past, I am an active performer of music written almost entirely in the last 100 years. When I play the "museum music" you seem to concentrate on, I find that being informed about the instruments of the time, performance practices, and, yes, the tuning styles in use when the music was composed are valuable information. Tuning is probably the least important of the three things listed. 

    Concerning improving piano tone, scaling, choice of wire, choice of hammers, and treatment of hammers are among the factors that I find far more important than temperament choice - though certainly clean and stable unisons are an absolute must, and the appropriate stretch for the instrument is also important. 

    Amazingly enough, there is more to music than the way a temperament is tuned :-)

    ------------------------------
    Fred Sturm
    University of New Mexico
    fssturm@unm.edu
    http://fredsturm.net
    http://www.artoftuning.com
    "We either make ourselves happy or miserable. The amount of work is the same." - Carlos Casteneda
    ------------------------------



  • 62.  RE: Improving piano tone through tuning and temperament

    Registered Piano Technician
    Posted 02-27-2019 15:54
    I do believe (simply based on my experience) that many pianos do sound better in UT, especially small ones. Also much music (but not necessarily all) can sound better in UT. I feel that if it was in fact composed in a UT, likely there is a reason for the key choices.

    To get back to Debussey, it is interesting to me that the first piece in Suite Bergamasque is in F major and the second is in A minor. The third (Clair de Lune) is in D flat major and the last is F# minor.  In a UT F and A are going to sound very sweet and mild, whereas D flat and F# would tend to be quite busy. Not sure if these kind of choices would specifically enhance the style of music there. I would like to hear the entire suite played in a reasonably accurate UT. 

    I could also surmise that the music reflects a gradual "equalizing" (if you will) and may have been composed on instruments tuned closer to ET at the time (1890 - 1905).  We probably have no way of knowing at this time.

    Pwg

    ------------------------------
    Peter Grey
    Stratham NH
    603-686-2395
    pianodoctor57@gmail.com
    ------------------------------



  • 63.  RE: Improving piano tone through tuning and temperament

    Posted 02-27-2019 16:39
    Dear Fred
    Either / Or is a logical construct which is clear and the nature of your pedantry misses the point and the point of this thread, and to which other technicians are pointing also - forgive the pun.
    This thread is not about semantics and starts with a spreadsheet identifying the potential effects of allying notes of the scale with the pure intervals of harmonics of bass strings which provide the fundamental vibrations of sound.
    The point of this is that when frequencies coincide in ratios every 2nd or 3rd or 5th or 7th vibration there is a coincidence and reinforcement of sound. This gives a stability to the sound, a certainty and a solidity. This is a phenomenon that some technicians in this thread are reporting to have been noticed and favoured by discerning musicians. My spreadsheet shows good reason for this and puts into a graphical form the differing effect of the perfect 3rd and perfect 5th based temperaments as against equal.
    There becomes a change in the resonance response of the instrument and opens up dimensions beyond excitement, the excitement of movement, into the realms of stillness, calm, coherence of sound and the therapeutic realms. The therapeutic aspects of vibration, sounds, are harnessed and exploited by practitioners of singing bowls and new age stuff and which with tuning of the vibrations of the piano the classical music can compete. For technicians there's good business sense in doing so.
    Physicists and electronic engineers reading this will have come across both Fourier Analysis and the concept of comb filters. Comb filters accept one group of frequencies and reject others. In terms of resonance this is important to the piano and to its music particularly of the romantic period, the concepts of which are very different to those of Vila Lobos. The spreadsheet, which I ask you to look at please, and everyone else, shows the way in which so many of the middle section strings resonate within 1 beat per second in particular with the 9th harmonic of the bass when the sustaining pedal is raised. In Equal temperament the close resonances within 1 or 2 beats are universal and confusing, whereas when we uneven the scale we take many of the resonance points further away so they don't resonate so don't confuse, and we put other resonances closer which increase the harmonious accord. 
    This is important for emerging research on Chopin and Beethoven pedalling. Those with access to Proquest and JStor will find groundbreaking dissertations coming forward on this subject. 
    Issues of harmonious accord are why I have put forward the recording of the Arvo Paart for critical listening https://www.youtube.com/watch?v=O7v5jYkw13w
    Peter - your thoughts on Debussy key choices are important and please forgive me for saying that I have the answer. Playing in the home keys gives a certainty and a comfortable calmness to the sound. Playing in the remote keys shows up the crass pianists who don't understand - the purpose of the remote keys is to give special effects and these have to be expressed with sensitivity. In particular a mysterious atmosphere can be created for the reason that things aren't quite locking together. So Clair de Lune played by a pianist who understands how to handle that will be able to access the mysterious with greater effect. For this reason https://www.youtube.com/watch?v=NXVShKy0LP4 is an interesting recording as the performer might not be as sensitive as her teacher but isn't bad. Perhaps the music in this temperament is expressing a certain coldness of the night,

    a shimmering on water, mist rising from the water

    and creeping its fingers up the valley. 

    B major is used by Liszt in arpeggiated passages that don't lock together in the UT with wide major third and tempered fifth in the nature of skating on ice. https://www.youtube.com/watch?v=g6QT3e-Mqh0https://www.youtube.com/watch?v=buDzqBuwm3I
    Here's F# doing interesting things https://www.youtube.com/watch?v=HCmXb49S7rQ and the pianist here handles the key with the sort of delicacy of the standard to which I'm referring. The UT sorts out the goats from the sheep in the realms of sensitive playing and appreciation and conveyance of pure beauty. So this might put a different perspective upon the Debussy recordings - we might not be looking at conventional criteria but an ability of the music, the vibrations and the performer to achieve more of what the music is meant to be doing, not necessarily within the confines of being merely "nice".
    Comments on https://www.youtube.com/watch?v=EJF4fTdu2bU are interesting:
    "The temperament is like the Hubble telescope bringing the music into focus . "
    ". . .  Nobody considers that people may have been instinctively seeking a workable compromise with REAL notes. Though they might not have expressed it in these terms. Then about the first world war we became desensitised enough to not even realise that this could be an issue - so chopping the octave up into 12 all slightly out of tune fragments suddenly for the first time in history, made perfect sense.
    What I mean by real notes is ones that occur in the harmonic series . . . . "
    https://www.youtube.com/watch?v=urDxcJIYj9I
    "This piano sounds beautifully: a very beautiful resonance and a very refined tuning."

    So perhaps we're looking at tuning which helps performers find greater access to poetry and perhaps a different realm from the needs of Vila Lobos.

    Best wishes

    David P


    ------------------------------
    David Pinnegar BSc ARCS
    Curator and House Tuner - Hammerwood Park, East Grinstead, Sussex UK
    antespam@gmail.com

    Call for papers - Seminar 6th May 2019 - "Restoring emotion to classical music through tuning."
    ------------------------------



  • 64.  RE: Improving piano tone through tuning and temperament

    Posted 02-27-2019 17:41
    Arvo Paart is still alive.
    It might be possible to learn his opinions about temperament and tuning in the creation and performance of his music.

    ------------------------------
    Ed Sutton
    ed440@me.com
    (980) 254-7413
    ------------------------------



  • 65.  RE: Improving piano tone through tuning and temperament

    Registered Piano Technician
    Posted 02-27-2019 18:28
    David,

    Considering that Beethoven put the first movement of the "Moonlight" sonata in C# minor you may have a significant point there. 

    Pwg

    ------------------------------
    Peter Grey
    Stratham NH
    603-686-2395
    pianodoctor57@gmail.com
    ------------------------------



  • 66.  RE: Improving piano tone through tuning and temperament

    Registered Piano Technician
    Posted 02-27-2019 22:44
    Quick questions regarding key coloration. 
    If a composer had expectations of a UT tuning, wouldn't they want to specify what note the temperament begins and ends on, if not the UT itself? Also, wouldn't the broad range of standards (i.e. A-415 - A-448) have a large influence on key colorings?
    One would think there would be copious notes and writings from the composers themselves if this was a big consideration for them.

    ------------------------------
    Steven Rosenthal
    Honolulu HI
    808-521-7129
    ------------------------------



  • 67.  RE: Improving piano tone through tuning and temperament

    Posted 02-28-2019 05:07
    Dear Steven

    The composers who exploited UT knew the language. Even when UT became out of fashion people writing for ET knowing the repertoire were convinced by association and preconditioning of what was written in each key that the keys retained the same characteristics in ET. So the new repertoire written by such composers works in UT and can be enhanced by it.

    Ed - Asking Arvo Paart for his opinion and specifically in reference to our example recording would be very interesting. Does anyone know him? But the piece itself is interesting for _us_ to hear in respect of the tone of the piano and the clarity which the UT can bring.

    It is that clarity that musicians who've been discovering the Young Vallotti Kellner Kirnberger III temperaments have been seeking beyond that which can be supplied by ET. It's a clarity inherent to the sound, to the coincidence of vibrations, and provides a depth, as the difference between a 2D photograph and a 3D hologram, the photograph being taken with ordinary incoherent light and the hologram made with laser light which is coherent. I'm using coherence here in the specific scientific meaning.

    Best wishes

    David P
    -- 
    - - - - - - - - - - - - - - - - - - - - - - - -
    David Pinnegar, B.Sc., A.R.C.S.
    - - - - - - - - - - - - - - - - - - - - - - - -
    +44 1342 850594





  • 68.  RE: Improving piano tone through tuning and temperament

    Registered Piano Technician
    Posted 02-28-2019 06:15
    David, I don't know, that sounds kind of sketchy. What language are you referring to? You're saying 19th century composers were brainwashed as we are today, how do you arrive at that? They certainly had ears, who conditioned them, there were not recordings and tastes were more localized. I'm sure there were methods and traditions passed down orally but we can only speculate about that. It seems there would be more literature from composers and performers themselves if they were concerned with such specificity. And it's not as though ET based tunings don't possess different colors in different keys. 
    Also this doesn't address the variations in pitch standards at different times and in different places.
    Anything more concrete?

    ------------------------------
    Steven Rosenthal
    Honolulu HI
    808-521-7129
    ------------------------------



  • 69.  RE: Improving piano tone through tuning and temperament

    Posted 02-28-2019 07:25
    Dear Steven

    These are issues so much more difficult to deal with in compressed form in written responses rather than aurally in the instant in a seminar, and for those in  the UK this is the purpose of the seminar on 6th May.

    The people I'm referring to are modern musicians who have sworn to me that there is a difference they can hear between the keys. But that in ET is impossible. At the age of 12 I gave up hopes of professional musicianship because my teacher told me there was a difference between the keys. I could not hear it and in ET, other than in very gradual beat rate increasing, this is a phenomenon that does not happen - and because I could not hear it I thought I was a bad musician. I then discovered historic organs in my teens and realised that the modern tuning had robbed us of the hearing of differences between keys. This is not a pitch issue or otherwise C major would have a different effect in 415 as it does in 440, which it does not. And in the past decade whilst interacting with many musicians, many hold to the tradition of being able to hear key differences but when examined this is actually only an association of knowledge of composers' use of keys together with familiarity of pitch through perfect pitch and the enforced 440 standard.

    When such musicians actually hear the differences between keys as tuned on an instrument such as I've tuned in Kellner, then they have a revelation and come to the subject of unequal temperament with enthusiasm, which I bring to this forum.

    I've referred to the modern musicians holding to the tradition of hearing differences between keys, although it is merely psychoassociative rather than audible by the "man on the Clapham omnibus", how far this tradition goes back we can't determine.

    So although Fred and I might take semantic dispute as to when it happened and whether Debussy was playing an instrument tuned with the sort of errors that 1920s Erard descriptions might result in key colour, we've seen the way in which Debussy puts Moonlight into the same key as Beethoven. Whether this was by reason of still extant tuning practice or tradition of the psychoacoustic association we can't tell, and I'm happy to concede to Fred that the balance of probability in the 1920s is in his favour, even if ET then wasn't as fixed as ET is now. We then come to a point that it's irrelevant because in using that key, Debussy must be presumed to have thought that the key did something. Then when we tune the piano in a UT such as I'm using and get a pianist to play sensitively to the music and the tuning, we find that the key really does do that something that the use of the particular key was intended to . . . and that we can hear it.

    So hear https://www.youtube.com/watch?v=HiX5Xjtb7-E we look at Beethoven in Moonlight and see the comments on that video:
    "I was lucky enough to find a tuner who would tune to Kirnberger 3 and he used a meter .He seemed a little unfamiliar with the idea .But when he tried some chords you could tell how his attitude changed ."Oh yes  it is different ".In a good way judging from the way he said it . "

    "I recently had my piano tuned in Young's Temperament. A visitor, a talented pianist, played the first movement of this Sonata in the intended C# minor and then in C minor. The difference was amazing: the first movement of the C# minor version sounded 'foggy' and impressionistic, whereas the C minor version just sounded odd. I'm sure Beethoven chose the key of C#m for effect."

    "I think this tuning really lends itself to the character of the piece.. In ET it would sound too cheery and shimmery in comparison."

    "The interpretation is a bit on the slow side for me (at least 1st mov), but the tone quality is tremendous"
    (Notice here how normal tuning has got people not to slow down to listen the music but the "tone quality" comment is likely to influence this listener's future appreciation)

    "This is a revelation !!!!!!!!!!!!"

    "What temperament did you use? Did you build up a special temperament for the Moonlight?"

    And for me the best comment of all, for the effect is and should be subliminal
    "it is a normal temperament.. I don't get the joke..
    both major and minor chords of all scales sound clean... it can't be anything but equal temperament "

    Perhaps that's the real validation that Kellner can be used as a universal alternative to ET and an encouragement for those who haven't dared go as far as Kellner in departure from equal that it works.

    The performer here by the way was Adolfo Barabino https://www.adolfobarabino.com/

    Best wishes

    David P


    --
    - - - - - - - - - - - - - - - - - - - - - - - -
    David Pinnegar, B.Sc., A.R.C.S.
    - - - - - - - - - - - - - - - - - - - - - - - -
    +44 1342 850594





  • 70.  RE: Improving piano tone through tuning and temperament

    Registered Piano Technician
    Posted 02-28-2019 22:24
    David, I'm sorry I brought up the difference in "key color" regarding ET, what I meant was that pieces played in different ranges, say a 5th apart are going to sound different due to where they fit in our hearing spectrum; this is different the the key coloration you're talking about in UT.
    However my questions remain unanswered. Why is there such a paucity of discussion among composers and musicians of these past eras? And what about the effect of varying standards of what concert pitch is?
    And I'll add a related one. It seems to me that the beginning point of a UT temperament would be paramount, today as in the past as it would dictate the effect on any given composition. Yet in the youtube recordings or on this forum where there are several people employing these tunings this key point has not been addressed. (pun intended, I guess) Is it a given, such as middle C, as being universally understood? 
    So, to those in this discussion who are using UT's, do you always start on the same note and what is it? I did a quick scan of the Verituner manual which offers copious UT's but didn't find a reference to this, what about the other ETD's?.
    So, where does the circle begin?
    (three questions, would appreciate 3 answers if possible)
    Thank you.

    ------------------------------
    Steven Rosenthal
    Honolulu HI
    808-521-7129
    ------------------------------



  • 71.  RE: Improving piano tone through tuning and temperament

    Posted 03-01-2019 02:36
    Dear Steven

    I'm just about to set off to drive 150 miles to tune a Steinway so this answer will be inadequate.

    In my view pitch difference between 390 and 450 makes no difference except in gravitas. A good example is if you look up YouTube "St Maximin Bach D minor", the organ there being in around 390 whilst Victorian pitch was up in the 450s. For organs it saved space and materials.

    The composers did write about temperament - in their music. This was an aural language and just as Latin was the lingua franca throughout Europe in the 18th Century, Dr Burney being one of the last travellers in Europe to be able to go everywhere sharing a common language, the use of keys, their general attributes, were universal. All of the historic unequal temperaments share the common characteristics of sweet home keys and remotest keys to which you went for special effects. The circle of fifths begins at C and works around the keys with flats and sharps in both directions until . . . if a circulating temperament, they meet in the middle.

    So hopefully that addresses your three questions.

    Best wishes

    David P

    --
    - - - - - - - - - - - - - - - - - - - - - - - -
    David Pinnegar, B.Sc., A.R.C.S.
    - - - - - - - - - - - - - - - - - - - - - - - -
    +44 1342 850594





  • 72.  RE: Improving piano tone through tuning and temperament

    Registered Piano Technician
    Posted 03-01-2019 03:37
    David,
    Thank you.

    ------------------------------
    Steven Rosenthal
    Honolulu HI
    808-521-7129
    ------------------------------



  • 73.  RE: Improving piano tone through tuning and temperament

    Registered Piano Technician
    Posted 02-28-2019 23:49
    Steven,
    You are asking precisely the right questions. If composers wrote with some tuning shape in mind, they either did so consciously or intuitively in response to a tuning style they were exposed to.

    If the former (conscious use of tuning shape for compositional ends), one would certainly expect at least some trace, in the form of methods and advice for using a tuning shape expressively. And yet, although there are countless detailed books about composition, improvisation, etc., there is not the wisp of a trace of such references in any of them. The treatises continued to be quite consistent in their recommendations concerning counterpoint (the treatment and resolution of dissonances to consonances) from the period when mean tone was predominant through the period when ET became what virtually everybody said was being practiced. No obvious changes to reflect some particular intermediate tuning shape.

    If the latter (intuitive response to what was heard around them), the tuning shape would need to have been pretty universal, at least in the area around the individual composer (but most composers traveled a lot, so the universality would need to be pretty broad). In that case, one would expect to find instructions for tuning in that shape. And yet, among the many, many tuning sequences published from 1750 on, almost all of them are for ET. Some have errors which would lead to random variance from ET, but not in the direction of some particular expressive shape. And the exceptions to ET are mostly Kirnberger II, but the others are mostly completely at odds with the tuning shape UET enthusiasts like Pinnegar love and promote (see Henrich Laag's "reverse Vallotti" as a prime example). 

    Bottom line, there is no there there. The evidence is all negative or missing. Hence, it is necessary to suppose that there was a conspiracy of silence, that nobody talked about it because they didn't need to: they all knew. Yeah, right. 
    Regards,
    Fred Sturm
    University of New Mexico
    fssturm@unm.edu
    http://fredsturm.net
    www.artoftuning.com
    "Education is not preparation for life; education is life itself." John Dewey






  • 74.  RE: Improving piano tone through tuning and temperament

    Posted 03-01-2019 01:38
    Sometimes scholarly approaches don't lead to correct answers about the past. Especially, in the area of the practical arts. Sometimes, when we can't find clear sources, we have to experiment for ourselves to find out what works, and in this case what sounds good, or what is appropriate, and use our artistic judgment to decide how we want to tune.  Most fifths tempered, some fifths, or all fifths?.... while making sure all the keys are usable, as most people today expect that. Its really pretty simple. I am sure that this is what tuners did in the past. Its ridiculous to think that all tuners fell into lock step with the call for ET when there was a long tradition of the use of pure intervals.  I think my previous comments about Broadwood were lost in the never ending thread, but its obvious that Broadwood was calling for a standard becuase not all tuners were tuning ET the way they wanted it at the factory.  Does this mean they were just tuning ET poorly? Probably not, there were likely alot  of tuners still using temperaments with some pure fifths and Broadwood wanted to push a standard. Jorgensons book, to me shows the attempt to document an organic tuning  tradition that was still going on. Tuning is not very easy to explain precisely, especially tuning that was down by aurally spreading the wolf out over a certain number of fifths. Artisans worked in a very practical way most of which was based in pure whole number proportions. Intuition is often a better judge and we can only assume that musicians and tuners were sensitive artisans who realized that the important thing to do was to to "make all the keys usable".  Just this week from tuning several pianos in UT, I can hear a very prounounced difference in the resonance and purity of the smaller conoles I have used it on.  It was a delight to play some Willie the Lion Smith in G major. It is quite pleasing to hear the extreme purity of certain intervals. I refuse to insult the tuners and highly sensitive composers of the past by saying that they were unaware of the difference, couldn't hear it , and were unable to appreciate it. 

    --
    "For I am not ashamed of the gospel, for it is the power of God for salvation to everyone who believes." -Romans 1:16





  • 75.  RE: Improving piano tone through tuning and temperament

    Registered Piano Technician
    Posted 03-01-2019 11:43

    I think my previous comments about Broadwood were lost in the never ending thread, but its obvious that Broadwood was calling for a standard becuase not all tuners were tuning ET the way they wanted it at the factory.  Does this mean they were just tuning ET poorly? Probably not, there were likely alot  of tuners still using temperaments with some pure fifths and Broadwood wanted to push a standard.
    Jason Leininger,  03-01-2019 01:37
    Jason,
    There is a problem with your notion of what you think Broadwood tuners were doing. The idea of using some just fifths was almost entirely German, and didn't reach England until rather late - and then it was in the form of Kirnberger II (10 just and 2 tempered 5ths), which was altered by the Earl of Stancope to have three rather than two tempered fifths, nine just. The French approach (called Temperament ordinaire) used mostly narrow fifths, and a few wide ones  to span the wolf - with perhaps one or two just fifths. That is what a sum of all the descriptions tells us.

    The overwhelmingly predominant style of tuning used in England was mean tone, and that would have been the tradition that was passed on from one tuner to another, outside the realm of London tuners in touch with the latest German immigrant composers and musicians. That is what the extant tuning instructions show (most commonly along the lines of "tune all 5ths as narrow as the ear will bear, all thirds as wide as the ear will bear, outward from C, down to E flat, up to G#"). It is also what descriptive commentary talks about, as, for example, Crotch complaining about organs tuned with a wolf.

    I take issue with your statement that "Sometimes scholarly approaches don't lead to correct answers about the past." If you simply ignore scholarly approaches, meaning you ignore the only actual evidence we have, I would say that you are guilty of falsifying and inventing the past. I grant that one should always be skeptical, and take every piece of evidence with a grain of salt. But when you add up all the pieces of evidence, I think you need to accept them for what they say.

    Artisans worked in a very practical way most of which was based in pure whole number proportions. Intuition is often a better judge and we can only assume that musicians and tuners were sensitive artisans who realized that the important thing to do was to to "make all the keys usable".  Just this week from tuning several pianos in UT
    Jason Leininger,  03-01-2019 01:37
    I wonder how much you know about the "artisans" who were tuning pianos. Descriptions tell us that they had no notions whatsoever of "pure whole number proportions," and simply followed a sequence taught to them by rote, a description that rings true, as it would apply to at least 90% of tuners I came across in my early years as a tuner about 40 years ago. Yes, the important thing was to "make all the keys usable," and so you would make small adjustments to correct any errors along the way. But this would result in random, not a consciously shaped system.

    You describe tuning several pianos in UT. How did you do that? Intuitively? Or did you have instructions of some sort? Would you have been able to achieve them without instructions? 

    Pinnegar's attitude, that "the music tells us" what the composers heard and intended, is mere projection onto the past of one's own predilections, a subjective approach similar to projecting romantic performance practice onto Bach or Beethoven (and ignoring the instruments they had available to them). It may enhance your personal experience of the music, but it does not prove anything (except about yourself). 


    ------------------------------
    Fred Sturm
    University of New Mexico
    fssturm@unm.edu
    http://fredsturm.net
    http://www.artoftuning.com
    "We either make ourselves happy or miserable. The amount of work is the same." - Carlos Casteneda
    ------------------------------



  • 76.  RE: Improving piano tone through tuning and temperament

    Posted 03-01-2019 17:32
    Today I drove a 300 mile round trip to tune a Steinway Model C for a discerning musician.

    He's been reading the likes of some comments on this thread and I told him - "Ravel! Equal temperament of course!" He replied "Just ask the music. Ask the piano."

    He's raving enthusiastic about his new Steinway sound. It's no longer noisy with unnecessary ringing against which he as a musician has to fight. In Kellner the instrument is actually doing what he as a musician wants it to do, what he says the music wants to do, and he's not having to fight against the instrument to achieve it.

    So the whole of the above puts historical assertions into the category of red herring, together with Fred's ultimate frustrations in not being able to handle what I'm saying in his rudeness about my work and application.

    His assertion that it was Kirnberger II in circulation in historically relevant times is musically questionable and historically so on account of him writing to Fokker about it in 1779.

    I've looked at the physics of the tunings in terms of what resonates with what tunings, so looking at what cuts down confusion in piano sound, done the experiments over a decade or a dozen years or so, recorded them as meticulously I've been able to with recordings of the widest possible repertoire and am now demonstrating that an alternative to modern ET is not only possible but valid, particularly liked by musicians and improves piano tone.

    For all Fred's hystorical blusterings, none can alter the view of musicians of the worth of a good UT in inspiration, practice and performance on the modern instrument in modern times now and with modern repertoire wholly independent of any relevance of history.

    I've given the formula for others to try and suggest that others see if they can repeat my results.

    Best wishes

    David P

    --
    - - - - - - - - - - - - - - - - - - - - - - - -
    David Pinnegar, B.Sc., A.R.C.S.
    - - - - - - - - - - - - - - - - - - - - - - - -
    +44 1342 850594





  • 77.  RE: Improving piano tone through tuning and temperament

    Posted 03-01-2019 22:47
    Fred, 
    I have not ignored scholarly evidence.  I have combined it with experiment and practical application, ...as I am currently doing with temperaments,....thanks to this discussion! I discovered after over ten years of research in and experimentation with various traditional trades related to the construction of keyboard instruments, (leather tanning, felt making, wire drawing, wood working, varnish making, etc....), that much of what was written about them can not typically be trusted or used easily without practical experience. I have applied this skepticism to piano tuning too. Instructions, while they do exist, are often wrong, incomplete, trying to press a new standardized "enlightened method", or as in the case of musical instrument design and building, almost completely non existent. What these writings have told me though is that people were attempting to describe real processes that were actually going on. Which is why I keep mentioning all the faulty instruction provided in Jorgensens book for many different "Victorian" temperaments. That is evidence for their existence and can not be completely written off just because they have mistakes. Tuners were very likely aware of the implications of the Pythagorean comma and were smart enough to figure out how to spread it out as evenly as possible while preserving some pure fifths. They tuned with their ears not their eyes.  Its not exactly rocket surgery, and the ear is very keen on recognizing when the widths of thirds or fifths become too wide or narrow to bear. If one becomes unbearable make adjustments until they all sound bearable.....That to me, while not precise, sounds like a practical method for a practical tuner who doesn't need spoon fed, and can use some or no pure fifths to achieve a circular tuning. Listening to triad chords along with thirds and fifths separately tells us everything we need to know once we understand the goal and have a basic understanding of what to do. I know you seem to think that this will end up in an unacceptable temperament but it is likely the way that many tuners solved the issue until well into the 19th century, and accounts for all the bizarre, vague, and /or non working instructions that we find. 

    I have a fairly good understanding of how artisans in the past worked because not only have I studied everything I could find relating to the traditional trades I have also practiced several of them for ten years and made sense out of a lot of otherwise, incomplete, bizarre, and non working instructions by trial and error methods. This experience is in part what I base my conclusions on. 

    Whole number proportions were absolutely paramount in the trades, extending back to antiquity, and they were very important to musicians, and instrument builders as well. Mozart, Jonas Chickering, and other famous composers, artisans, and musical instrument builders were associated with free masonry and the guild tradition in Europe. Much of what they did and practiced has been kept secret and generally not discussed, but I can tell you one of their most important principles was the proper use of whole number proportions and their artistic use, which extends all the way back to the pythagorean tradition and before.

    But back to David's main point. The music speaks for itself. There is something extremely different about the resonance and purity of the piano when pure fifths are worked into the temperament. To me it is very obvious especially when the pedal is depressed. I used Vallotti again today and my client was really impressed with the quality of the resonance. I am surprised by the beauty it can bring to the instrument. It adds something different to our sterilized and homogenized piano sound that has become all too common today.  I need more time to fully develop my opinion on the universal application of such temperaments, but so far its very clear to me that there a beautiful resonance that is different from ET and it seems that the pedal can stay depressed longer without making the sound muddy.


    --
    "For I am not ashamed of the gospel, for it is the power of God for salvation to everyone who believes." -Romans 1:16





  • 78.  RE: Improving piano tone through tuning and temperament

    Registered Piano Technician
    Posted 03-01-2019 23:23

    So the whole of the above puts historical assertions into the category of red herring, together with Fred's ultimate frustrations in not being able to handle what I'm saying in his rudeness about my work and application.

    His assertion that it was Kirnberger II in circulation in historically relevant times is musically questionable and historically so on account of him writing to Fokker about it in 1779.
    David Pinnegar,  03-01-2019 17:32
    For anyone whose thought process is more oriented to fact than to fiction, Kirnberger II (10 just 5ths, 2 5ths each tempered about 12¢ narrow) appeared in print more than any other temperament pattern/sequence besides ET, from the late 1700s through perhaps 1850. "Kirnberger III" (8 just 5ths, 4 5ths each tempered about 6¢) only appeared once, privately, in an exchange of letters between Kirnberger and Förkel (the first Bach biographer, who wrote to all sorts of people gathering information). Kirnberger III only came into the public light in the mid to late 20th century.

    I certainly agree that Kirnberger II is musically questionable. That is, in part, what makes its omnipresence so revealing. It seems to have taken all the air out of any other pattern but ET. A somewhat minor exception was the Earl of Stanhope's temperament, essentially a modification of K II dividing the comma between three 5ths, GD, DA, AE, 8¢ narrow each (instead of Kirnberger's dividing it between DA and AE). That system appeared in print in Hamilton's Art of Tuning, the Tuner's Guide, and elsewhere into the middle of the 19th century. 

    So we have these rather extreme tunings, very widely published. And nothing similar of a more "acceptable" sort, with fewer just 5ths and more tempered ones. That is a fairly complete wrap up of what the surviving evidence shows us, with only a few exceptions, like the notion of just 4ths being the inverse of ET 5ths (that a complete circle of just 4ths will produce ET), and a very strange temperament with some wide, some narrow, and some undefined fifths, in no particular pattern (not one to produce a rational system of sizes of thirds, anyway) published by Ignace Pleyel and Dussek in 1799.   

    I'll now break from "Fred's hystorical blusterings" and return you to your regularly scheduled fiction.

    ------------------------------
    Fred Sturm
    University of New Mexico
    fssturm@unm.edu
    http://fredsturm.net
    http://www.artoftuning.com
    "We either make ourselves happy or miserable. The amount of work is the same." - Carlos Casteneda
    ------------------------------



  • 79.  RE: Improving piano tone through tuning and temperament

    Registered Piano Technician
    Posted 03-02-2019 02:12
    Ultimately much of this gets down to matters of taste and predilection. Music scholars pressed for centuries Pythagorus and the Music of the Spheres even though the math didn't fully work. (And the bands played on.) 
    New Yorkers and Chicagoans each believe profoundly that the other one doesn't know what real pizza is, people in South Carolina think those in North Carolina are crazy because they put vinegar in their barbecue sauce. 
    And we become inured. We have no problem basing opinions on highly compressed versions of recordings of pianos on youtube. Us, the guys with the big ears. This is an acquired taste and ability to parse limited information but I'm sure no one notice how that happened. To live is to adapt.
    I, for one, much prefer the tempered version of Claire De Lune, probably for the opposite reason that Jason might like the UT version. To me it sounds clearer. There is a crystalline quality to that period of French music and the clarity suits it well. To my ear/taste, ET in this case is more transparent and UT perhaps more translucent; I feel I can hear the space between the notes better in ET.
    I started using the p12 temperament last year, I wasn't sure if I would be able to tell the difference from the standard Veritune ET I was using but in fact I did immediately. Clearer, more spacious. 
    But I'm agnostic on the issue, I think it's fine that people broaden their palates with UT's.
    I have many reasons for my personal position on ET but I'll spare you my ramblings save to say that the evolution of the modern piano charts right along with the industrial and modern era that can be characterized by more power, more range, and the collateral production of more inharmonicity. We exist in a noisy, noisy, noisy world. Contemporary art practice and performance reflect that.

    ------------------------------
    Steven Rosenthal
    Honolulu HI
    808-521-7129
    ------------------------------



  • 80.  RE: Improving piano tone through tuning and temperament

    Posted 03-02-2019 09:30
    Steve, well said, I am basically in agreement with you. I don't plan on abandoning equal temperament. It has a purpose to serve, but I think that tuners should offer UT so the general public can decide. Overall, I think it has been a very informative discussion. I learned a lot about temperament history and was inspired to start using UT's. Its ok if we all don't come to the same conclusions. Although, I will say Kepler did in fact find the musical ratios in the movemnts of the planets.  Read his Harmoni Mundi.

    --
    "For I am not ashamed of the gospel, for it is the power of God for salvation to everyone who believes." -Romans 1:16





  • 81.  RE: Improving piano tone through tuning and temperament

    Posted 03-02-2019 02:31
    The problem with "Pinnegar's regularly scheduled fiction" is  . . . that
    it works . . . here yesterday on one of the Steinway "Crown Jewel Collection" instruments working extremely well and totally transforming the instrument for the discerning musician who plays it daily.

    He says that for ever he's been fighting with the lack of stillness, the noise of sound that comes out of the modern instrument, not just this one, and that my tuning cures the problem. Essentially the application of Kellner to the central three octaves without stretch reinforces or amplifies what is harmonic, and brings the instrument into harmonicity, rather than allowing inharmonicity to be in control. The point about a tuning such as Kellner is that we're using numbers of pure and near pure intervals, throwing resonances with impurities off-course. The effect is subtle and profound.

    Perhaps there's a difference between UK and US scholarship but  History of Piano Tuners by Gill Green MA
    Piano-tuners remove preview
    History of Piano Tuners by Gill Green MA
    The History of Piano Tuners in the UK,.
    View this on Piano-tuners >
    makes the very important observation that piano tuners and their work was very undocumented in the 19th century before professional associations came together. People also were inclined to keep their secrets, just as some brands incorporate backwards things to catch out and deter non-Brand technicians.

    One of the problems of academia is that it's hidebound and straightjacketed by observance to written sources. Much is not written, indeed the majority of human history. How many people here reading this have heard the expression "The Gods look after Children and Drunken Men"? Academics who have not heard that expression cannot properly interpret a piece of classical symbolism found on urns, plates and vases and the academic line of authority is not always successful as a result.

    At Hammerwood I have an object in the collection which demonstrates beyond doubt the origin of expression "the penny's finally dropped" or "has the penny dropped?". For some it takes a very long time.

    It's the owner of the Steinway photographed above who enjoys Ravel and as a result of my tuning insists that either Ravel, or his tuner, must have known about unequal temperament.

    This is an arena in which the modern performance is paramount, what the tuning does for the music, for the performance, and how that communicates to the audience. Audiences having heard things before are disappearing in boredom. The surprises of tuning can change that, and be a healthy filip to music and the maintenance of instruments.

    Best wishes

    David P

    ------------------------------
    David Pinnegar BSc ARCS
    Curator and House Tuner - Hammerwood Park, East Grinstead, Sussex UK
    antespam@gmail.com

    Call for papers - Seminar 6th May 2019 - "Restoring emotion to classical music through tuning."
    ------------------------------



  • 82.  RE: Improving piano tone through tuning and temperament

    Registered Piano Technician
    Posted 03-02-2019 19:07
    David,
    If the kind of tuning you do pleases you and your customers, that's great. I have no quarrel with that. In fact, I applaud any and all experimentation.

    What I call fiction are your references to history, which are almost entirely misinformed, distorted, and misleading. There is considerable surviving documentation, and that provides a factual basis for making historically informed statements. If you wish to set yourself up as an authority on the history of temperament and tuning, you need to become far better informed.

    Instead, you speculate, often wildly, about what people may have done or preferred at some point in history or another, and purport to support your claims by reference to pseudo historical statements.

    Stick to talking about how much your customer loves his Ravel in Kirnberger III or Kellner, and you will find no quarrel from me. Extrapolate from how wonderful Ravel sounds in those temperaments to a claim that this is the tuning Ravel had in mind, and that it was tuned during Ravel's time, and it is quite likely that you will find a lot of blow back. Your choice.

    ------------------------------
    Fred Sturm
    University of New Mexico
    fssturm@unm.edu
    http://fredsturm.net
    http://www.artoftuning.com
    "We either make ourselves happy or miserable. The amount of work is the same." - Carlos Casteneda
    ------------------------------



  • 83.  RE: Improving piano tone through tuning and temperament

    Posted 03-02-2019 20:08
    Fred - the problem is that it's my friends for whom I tune who are making the observation that there must have been some connexion between what they hear the tuning do to Ravel's music and the experience with which Ravel was composing.

    Go back into the 19th century and there, for the reasons of the aural heritage that I've explained, the ground is much more shaky. 

    Mozart was not writing for Equal Temperament. Beethoven, Schubert and Chopin were exploiting key colour. Liszt also. The musicians among whom I'm mixing are very clear about what they experience, hear, and know about the music. I met one recently who realised that even Scriabin was on the list of composers whose work benefits from key colour experience.

    If you haven't heard the aural expression about the Gods looking after children and drunken men, you demonstrate the chasm between current knowledge and the aural heritage of the past.

    Certainly from a British perspective even Meantone wasn't universally used as Handel recommended a temperament  the effect of which isn't far removed from the temperaments I've been working with.

    And if you really want to split hairs, then many musicians regard a temperament even as strong as Kellner to be a variation on Equal Temperament because you can play in all keys and it doesn't have objectionable quality in any. Such confusions existed in the past and make semantic argument irrelevant.

    Much modern research documented in the Bibliography of my paper https://www.academia.edu/37951978/THE_COLOUR_OF_MUSIC_IN_MOZARTS_TIME_A_journey_from_Couperin_to_Chopin_Examination_of_reconstruction_of_Mozart_Fantasias_K594_and_K608_for_Mechanical_Clock goes against your thrust. Experienced musicians with particular expertise in the 19th century repertoire and tradition are finding that the music speaks for itself.

    The issues upon which you expound with greatest certainty are in fact much more grey than black and white.

    Best wishes

    David P 
    -- 
    - - - - - - - - - - - - - - - - - - - - - - - -
    David Pinnegar, B.Sc., A.R.C.S.
    - - - - - - - - - - - - - - - - - - - - - - - -
    +44 1342 850594





  • 84.  RE: Improving piano tone through tuning and temperament

    Registered Piano Technician
    Posted 03-02-2019 21:52
    There you go again, David. What a lot of bunk. When you have actually studied the field seriously, not just hung out with the fringe enthusiasts, you might earn the right to be taken seriously.

    How about starting by uncovering primary sources to support this statement: "Certainly from a British perspective even Meantone wasn't universally used as Handel recommended a temperament  the effect of which isn't far removed from the temperaments I've been working with."

    Where is your quote from Handel, recommending some particular temperament? I suspect you are relying on a temperament sequence that the publisher Longman & Broderick said was Handel's (merely in order to sell more copies of its book of organ pieces, which were not by Handel - but the unwary might have supposed them to be so, by extension from the attribution of the tuning sequence). Trace for us the connection between that publisher and Handel. Come up with any evidence that Handel had any connection whatsoever with that temperament. 

    If you can't rise to that challenge, stop propagating such poppycock.
    Regards,
    Fred Sturm
    "A mind is not a vessel to be filled, but a fire to be kindled." Plutarch






  • 85.  RE: Improving piano tone through tuning and temperament

    Posted 03-02-2019 21:54
    I like Bill's idea too!

    David, very well said.  The music does speak for itself and makes great sense of key selection. I have been shocked at what Vallotti has done for certain keys when playing early jazz and blues.  It brings a greater resonance and clarity to certain 3rds, 6ths and tenths, and really sounds amazing when using pure fiths in the primitive boogie baselines in the black keys.  The sound actually reminds me of the early jazz and blues piano recordings, but I'm not sure if thats just from the mellow hammers and wire and recording qulaity. I will be using it for my musician friend next who is a well renowned early jazz and ragtime piano player.  

    All great artisans in the past were very fond of and protective of their secrets. (Musical instrument building and design has literally been kept under lock and key.) For this same reason, it is very possible that many of the great composers were often silent on tuning and temperament and similarly on composing. Also, I find it ironic that the two main temperament scientists that were most closely connected with Bach were proponents of UT.  The written history does not often easily shine light on the living traditions. I found this out the hard way recreating historic piano hammer leather. Rediscovering something that was was lost could be of great benefit to the growing disinterest in the acoustic piano.  We know what was written, now it is our job to rediscover what was not properly documented.  


    --
    "For I am not ashamed of the gospel, for it is the power of God for salvation to everyone who believes." -Romans 1:16





  • 86.  RE: Improving piano tone through tuning and temperament

    Registered Piano Technician
    Posted 03-03-2019 01:01
    Jason, you're certainly on track about how living traditions are held, especially along folk and family lines. In the Hawaiian Slack Key musical tradition, which is still very much alive, that employs open tunings on their guitars. It is common knowledge that certain musical families have their own methods of these tunings; meaning what note the individual strings are tuned to, some of which they generally don't share. These variations lead to different voicing through different fingering and picking patterns. An expert guitarist watching them play might figure it out but it would be more difficult to glean from a recording. I think musicians here, in that community know what not to copy if they haven't been gifted with the information.
    I can see European composers holding some information close to their chests as to why they might be doing something, but if they were publishing their music and hoping to have it well played by people other than themselves, it would be against their best interests not to divulge a tuning preference. 

    I'm not sure how to take this idea that there is a growing disinterest in the piano and I don't believe that what temperament is used has or might have any affect to the extent that such disinterest may be in fact true. Piano sales have dropped in North America considerably but that is not a direct indication of how much music is being played, I believe most pianos sit idle anyway.
    As Bill noted, electronic keyboards either do have or could have an encyclopedia of temperaments if they have a midi or USB connection which almost all do. I believe access to digital tools is what is driving the interest in alternative tuning as it is and these "historical" temperaments are just the tip of the iceberg. Keyboards have no stability problems and can switch on a dime, so the piano will always be on the fringes of a movement to a diverse palette of tunings. I took Davids original statement as meaning that there is a diminishing interest in classical (solo) piano music. I'm not sure if that's true either but it would be quite a different issue.
    I can say from my concert tuning work in popular music genres and Jazz, that keyboards have surpassed pianos on stage but that is not for esthetic reasons, it's primarily for economic and then engineering reasons. In fact, you might be surprised at how many and for whom I've done concert tunings where the piano wasn't mic'd, it was merely used as a controller, the sound the audience was hearing came out of modules. Why have a big grand on stage where a keyboard would do? Stagecraft. So where does that fit into the mix?
    By the way, I've yet to see a professional band tune the keyboards to the piano in any way, nor have I seen any of the other string players check their ETD's against the piano. Ever. As I've inferred earlier the audience perception of intonation, especially in ensemble situations, is far different than what we've been discussing here. Amplified or not.

    ------------------------------
    Steven Rosenthal
    Honolulu HI
    808-521-7129
    ------------------------------



  • 87.  RE: Improving piano tone through tuning and temperament

    Posted 03-03-2019 07:43
    - Growing disinterest in piano music - improvement of piano tone and musical effect

    On the subject of growing disinterest, there is increasing lack of understanding of what music's about. This is exemplified by http://www.machronique.com/scandale-au-concours-international-de-piano-de-nice/ where Chinese competitors thought they were being discriinated against but it's clear that they simply could not compete because they were playing mechanically and not understanding the meaning of the music.

    "Il rappelle qu'un musicien  se doit d'être complet dans la maîtrise de son instrument mais aussi dans la connaissance des œuvres qu'il interprète. "

    The problem with the mechanical culture is that it does not produce enthusiasm other than that of a sports challenge. Once the challenge is completed, it's on to the next.

    With compression of dynamics for car radios the music we hear is compressed, and the music is not speaking with the contrast of dynamics as it should.

    So there are various reasons why the music and the performer and the audience are ceasing to engage.

    On the subject of improvement of tone of the instrument I have extended the spreadsheet at the beginning of this thread, and which when replying on the forum next I might upload. What I've done is to analyse the notes of the scale, their frequencies and their harmonics, removing the duplication of frequencies by the 2nd, 4th and 8th harmonics, from 26Hz to 2000Hz, then looking at the extent to which notes and frequencies are the same, within 0 to 1/2 beat per second (near enough to 0), contrasted with 1/2 to 1 1/2 beats per second rounded to 1, and 2 1/2 to 5 1/2 beats per second.

    I'm significantly looking at the middle playing range of the scale from Tenor C around 130Hz to the B above Treble C around 1975Hz, and the resonance these notes provide to the bass and the extent to which playing these notes will ring on harmonic resonance of the bass.

    Proportion of same frequencies 
    Equal Temperament 36%
    Kellner Tuning 41%
    Kirnberger III 43%

    So a greater proportion of the instrument tuned to Kellner and KIII is still with no beats.

    Proportion of frequencies between still and 1 1/2 beats
    Equal 49%
    Kellner 49%
    Kirnberger III 50%

    Proportion of frequencies separated by 1/2 to 1 1/2 beats rounded to 1 beat
    Equal 13%
    Kellner 8%
    Kirnberger III 7%

    Proportion of frequencies separated by 1/2 to 5 1/2 beats (1 to 5 beats)
    Equal 35%
    Kellner 29%
    Kirnberger III 27%

    Proportion of frequencies separated by 2 to 5 beats
    Equal 22%
    Kellner 21%
    Kirnberger III 20%

    So in Kellner we're seeing a temperament which compares with equal in its generality but throws the balance towards accordance of scale with harmonics with no beats, with exact resonance and away from the 1/2 to 1 1/2 beating region. So we're not looking at a radical shift but one in which resonances are real and pure, stronger, making less relevant the off-resonances are further away which resonate less, reducing confusion when the sustaining pedal is used, enabling original pedalling of Chopin and Beethoven.

    Best wishes

    David P



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  • 88.  RE: Improving piano tone through tuning and temperament

    Registered Piano Technician
    Posted 03-03-2019 13:29
    David, I fail to see how a kerfuffle at an international piano competition indicates a growing lack of interest in piano music. In fact to the contrary, passions clearly ran high. The keen interest in countries with a relatively brief history with Western music and pianos indicates otherwise. The tension between athleticism and expression has been ongoing and it will evolve.

    The notion that a shift in tuning styles will affect a lack of interest in piano music, if that is true, is in my opinion remote to say the least. But perhaps you should take your crusade to China, it might be just the tonic they need.

    ------------------------------
    Steven Rosenthal
    Honolulu HI
    808-521-7129
    ------------------------------



  • 89.  RE: Improving piano tone through tuning and temperament

    Posted 03-03-2019 14:35
    Dear Steven

    The point is that they are playing mechanically. As a result they had a swathe of contestants who didn't get anywhere.

    It's made obliquely by the note in the report:
    Il ne s'agit pas d'apprécier seulement que l'aspect technique d'une interprétation. D'autres paramètres qui peuvent échapper au grand public sont pris en compte, comme par exemple, le respect du texte et du tempo, l'expression, le style, l'analyse de l'œuvre, la cohésion avec l'orchestre.  Ce n'est pas le candidat qui jouera le plus vite, le plus fort et avec le moins de fausses notes qui persuadera le jury de voter pour lui. C'est par contre un bon équilibre et une justesse de ces paramètres qui aura le plus de chance de rallier un maximum des voix du jury pour un candidat.   

    This is all about the mere mechanical playing without understanding -
    It is not a question of appreciating only the technical aspect of an interpretation. Other parameters that can escape the general public are taken into account, for example, respect for text and tempo, expression, style, analysis of the work, cohesion with the orchestra.   It is not the candidate who will play the fastest, the strongest and with the least false notes that will persuade the jury to vote for him. On the other hand, it is a good balance and a correctness of these parameters that will have the most chance to rally a maximum of the votes of the jury for a candidate.  

    The sequel to the point is that the Chinese approach is that playing the music is a matter of playing the notes, as a sporting exercise. Once they've done it, they've done it, and it not meaning anything they give up. 

    Because performance without communication of emotion is boring, just a sport and a virtuosic entertainment, there is nothing to hold fascination in the long term. The music isn't communicating.

    If you haven't experienced just how incomprehendingly an ununderstanding far eastern performer can mangle the art out of a piece try the last movement of http://kunstderfuge.com/-/midi.asp?file=mozart/piano_sonata_279_(hisamori).mid at 08:11. Perhaps the first movement is bad enough but the last takes the biscuit. I don't think anyone will snuggle up to Mozart having heard such a rendition. There's no singing, no taking account of the instrument, the sound and the vibrations it can convey.

    Tuning to an expressive temperament which encourages performers to react to the sound and respond really sorts out the wheat from the chaff in terms of the musician who can convey the emotion and the meaning to the audience.

    Yes - I hope eventually for news of more interactively engaging tuning to reach the Chinese piano manufacturers and technicians.

    Best wishes

    David P

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  • 90.  RE: Improving piano tone through tuning and temperament

    Registered Piano Technician
    Posted 03-03-2019 17:40
    "Tuning to an expressive temperament which encourages performers to react to the sound and respond really sorts out the wheat from the chaff in terms of the musician who can convey the emotion and the meaning to the audience."

    This thread is nominally about temperament's affect upon piano tone. There shouldn't be any argument that such a tonal effect can exist as a result of a given tuning; this is readily demonstrable with your beloved Pianoteq.

    However, aren't you taking a leap by suggesting a given temperament is more or less "expressive" than another?

    Keeping in mind that I think it is OK for artistic endeavors to trend simultaneously in conflicting directions, I think it's great if some believe temperament can affect the emotional content of music, and that temperament can somehow be a catalyst for artistic expressivity. Great!

    But I have never had much of an emotional reaction to different speeds of 3rds; they just sound in or out of tune to me.

    But if this expressivity through unequal temperament really existed, wouldn't such expression through temperament have to be executed with great coordination between composer, instrument maker and tuner, and the performer? It sounds very difficult and ambitious. And suited more for newly composed music than historical pieces. New pieces can certainly, if desired, specify a temperament.

    If the best temperament for a given historical piece could be determined just by listening, why do people argue so much about temperament? Why do temperaments ignite the passions? Why do people claim there has been at least one duel fought over temperament? Why does it not work for everyone to simply listen and agree upon the correct temperament?

    Might it be that there is no correct temperament, but only artistic interpretations that some like and others dislike?

    For me, the tone of a carefully executed modern equal temperament gives a thrilling effect (I hesitate to call it "tone"). For me the modern (wide) equal temperaments are microtuning at its finest. I have made Pianoteq produce custom 88 note tunings that very carefully control the tunings by using temperament to execute the stretch, individually tuning every note.

    These custom tunings can make the canned tunings of digital pianos pale in comparison, and may in the end provide an additional competitive edge for real pianos over digitals.

    If it isn't obvious, I am saying all this to make the point that modern equal temperament (and other tuning systems as well, I suppose) can be promoted to at least some musicians as a catalyst to superior expressivity just like unequal temperaments can. I will never forget the first time I heard modern equal temperament. I finished a tuning with OnlyPure which I had been asked to try, and when I finished tuning and held down the damper pedal and played an arpeggio, I heard a sound I had never heard before. My life has not been the same since. But I suppose for some people modern equal temperament means nothing. That's OK.

    Anyway, there is more to my tuning life than just modern equal temperament. I'm working on a Pianoteq EBVT tuning carefully following Bill Bremmer's aural instructions. So far, it sounds quite nice... (It takes far longer to tune a Pianoteq piano note by note than it does a real piano.)

    All the best!





  • 91.  RE: Improving piano tone through tuning and temperament

    Posted 03-03-2019 18:10
    Dear Kent

    Yes - I understand where you're coming from. ET and its variations of strain built into the system can excite and the sound of a well tuned instrument in ET can excite. But it can't calm because it's never still. This always exciting sound is conducive to the ever moving faster technical bravado of the performers who play without any meaning.

    This is like an endless aircraft runway on which to drive a Bugatti Vehron and one wants to go faster and faster for the thrill of it.

    With a temperament that can calm as well as excite it's like putting hills into the landscape and having to change gear, with a patch of ice here and sunshine dried there, and adjust engine speed accordingly.

    The arguments are really like those between people who like an automatic gearbox and a manual gearbox. The ET might be on automatic but there might be argued a greater art in driving in manual.

    The thing is with a UT is that one turns a corner in a piece and one finds that tension, which is always present in ET, is suddenly relaxed with a lovely sound, or the reverse. It puts landmarks in the soundscape in the journey through a piece.

    And the classical composers were aware of the language of the keys and utilised it. C minor and F minor are particular and known examples.

    When tuning for performers who know the repertoire when greeting the sound in a good UT they start to say "Oh - yes - finally I'm hearing how the music should sound but have never got it to sound this way before". 

    There's a chasm between those who have tuned and those who have played, whereas in the old days of harpsichords and no doubt early days of the wooden frame piano, players tuned and knew what tuning did.

    Fred will no doubt start on some histerical diversion but when the likes of Montal started writing for mass instruction of people who came into the industry to cope with demand of mass production, there was starting to be a divide between players and tuners and the intimacy of connexion started to be lost. But the traditions continued.

    Where the temperament is strong, the sensitive player will play more delicately, whereas where the sound is warm and welcoming, a sensitive player will want to luxuriate in that sound. The temperament has an interaction with the speed at which one wants to play, and this is where well intentioned testing of putting MIDI files through electronic simulations on the one hand looks to be an objective test but in practice is flawed on account of ignoring the effect of the sound on the performer. 

    A performance received by an audience is filtered through the performer and an instrument and a feedback loop from the sound that the performer is hearing compared in the mind to the sound the performer wants to hear. So there is an unavoidable interaction between tuning and performing.

    And however bright and exciting a brilliant ET is, because it cannot express the calm but can only bring  forward excitement, it limits. It was a convenient way of industrial scale piano manufacturers to sell pianos and sell their brand, dazzling us with the exciting sound of the instrument rather than how good the instrument was in conveying the music.

    When a UT can make one want to play more of a beautiful sound, it's really wonderful where children are learning and playing on an instrument, and the surprises obtainable in modulation lead to innate desires to explore. So it's good pedagogically.

    I'm not saying that ET is bad - I'm simply pointing out that there is an alternative which is validly useful, still exciting when one wants it to be, and arguably better.

    Best wishes

    David P

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    +44 1342 850594





  • 92.  RE: Improving piano tone through tuning and temperament

    Posted 03-03-2019 19:03
    On https://www.piano-tuners.org/piano-forums/viewtopic.php?p=67899&sid=ede59c476df8c871c0793f7c9870881c#p67899 is an interesting experience of someone coming to Kirnberger III as an amateur tuner because it's a simple one to tune and he reports:
    "Now Chopin Nocturnes sound like proper music ."

    People have only stuck with ET because they haven't known that a choice is available. When that choice is made available . . . . I think the piano manufacturing and technicians' trades will flourish.

    It looks as though that thread on the UK forum might be worth keeping an eye on.

    Best wishes

    David P





  • 93.  RE: Improving piano tone through tuning and temperament

    Registered Piano Technician
    Posted 03-03-2019 21:38
    "Yes - I understand where you're coming from. ET and its variations of strain built into the system can excite and the sound of a well tuned instrument in ET can excite. But it can't calm because it's never still. This always exciting sound is conducive to the ever moving faster technical bravado of the performers who play without any meaning."

    You may not understand -- at all -- where I am coming from. It's almost as if you are unfamiliar with the tension/release of functional harmony, and unaware of the pure effect that pure 12th equal temperament offers, and the spectacularly consonant effect of quartal/quintal harmonization in pure 12th ET. It's difficult to believe you are serious when you describe ET as just one tuning, one tuning which is "always busy." 

    But there are those here who do understand, and I guess that is who I am writing for.

    Thanks. Bye.

    Kent










  • 94.  RE: Improving piano tone through tuning and temperament

    Posted 03-04-2019 04:49
    Kent - I think you've discovered a revelation not very different to those who are discovering UT but in a different way. In essence it sounds like the idea of  Renold 2 which has been drawn to my attention and garnered a lot of enthusiasm https://roelhollander.eu/en/432-tuning/the-scale-of-fifths/ which I haven't explored yet.

    But the UT experience gives chromatism to the chromatic scale, and many sweet thirds, which are impossible with any equal temperament. 

    The perfect 5th ET will produce very wide thirds and I imagine that these beat significantly against the 5th harmonic? Do the effects change depending on whether the instrument suppresses the 5th harmonic and promotes the 3rd harmonic, or the reverse.

    If you can give cent offsets for the temperament then we can plug them into the spreadsheet and start to examine the harmonic relationships.

    Best wishes

    David P

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    David Pinnegar, B.Sc., A.R.C.S.
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  • 95.  RE: Improving piano tone through tuning and temperament

    Registered Piano Technician
    Posted 03-04-2019 09:30
    No. The math of Renold 2 appears to be fatally flawed, at least, based upon examination of the Scala file linked in the article. The Scala file does not maintain 12 pure fifths. In order for a scale to maintain 12 pure 5ths, one must break free from the pure octave, which is apparently a difficult conceptual leap for some.

    A scale that actually does successfully maintain 12 pure 5ths was fully described in 1959 by Kolinski. https://www.dropbox.com/s/nre106sex2hcnsd/doc.pdf?dl=0

    As you know, traditional pure octave equal temperament is based upon the 12th root of 2.

    But there are wider equal temperaments: Pure 5th ET is based upon the 7th root of 1.5. A pure effect is not generally considered to be among its characteristics.

    With regard to the pure effect, I was referencing pure 12th ET based upon the 19th root of 3.

    Pure 12th ET is only slightly stretched, barely more than in traditional piano tuning stretch. The difference is that the stretch is, in effect, uniformly calculated in order to better maintain equal temperament through the scale. The pure effect comes from a number of serendipitous factors including among other things the uniform stretch and maintaining a perfectly balanced temper between 5ths and octaves. This approach allows equal temperament to be extended beyond just the few octaves of the mid-range.






  • 96.  RE: Improving piano tone through tuning and temperament

    Registered Piano Technician
    Posted 03-04-2019 10:41
    If you fixate on the 3/2 relationship of the 5th and the 5/4 relationship of the third, you are missing a tremendous amount of the total picture of the resonance of the piano. The total sound of the piano, the sound that is particularly characteristic to the piano as opposed to almost any other instrument, is the one you hear with the pedal depressed, dampers up. It is then that the sympathetic vibrations of all the other strings come into play.

    Any analysis that lonely analyzes individual intervals and one or two of their partial coincidences is not really useful in predicting the effect of a tuning on the instrument's tone. 

    "Sweeter" and "less sweet" thirds occur in ET as much as in any UET. It simply depends where in the range you are playing the third. As for whether a third beating at 3 bps is actually perceived as "sweeter" than one beating a 15 bps, that is partly a matter of taste, partly a matter of context. 

    Until you get to the just third, with no beats, you are dealing with an interval that is "out of tune." But in another sense, a beating third (or other interval) is simply one with a built in vibrato, and a noticeable vibrato may be far more desirable than the clean but dull sound of the just interval. 

    Amazingly enough, there are multiple ways of looking at the issues surrounding tuning :-)

    I think it is well to bear in mind this quote from Mattheson on the subject, to keep things in perspective: "One must take refuge in temperament when tuning claviers and harps.  Many books make as much to do of this as if the welfare of the entire world depended on a single clavier."

    Most musicians are far more interested in getting on with the business of playing music to be overly concerned with the finicky details of tuning we obsess about. Musicians (and listeners) for whom our level of detail is important or even noticeable is relatively small.
    Regards,
    Fred Sturm
    "The true sign of intelligence is not knowledge, but imagination." - Einstein






  • 97.  RE: Improving piano tone through tuning and temperament

    Posted 03-13-2019 09:47
    Dear Fred
    If you fixate on the 3/2 relationship of the 5th and the 5/4 relationship of the third, you are missing a tremendous amount of the total picture of the resonance of the piano. The total sound of the piano, the sound that is particularly characteristic to the piano as opposed to almost any other instrument, is the one you hear with the pedal depressed, dampers up. It is then that the sympathetic vibrations of all the other strings come into play.

    In fact focus on the 3/2 relationship of the 5th and bringing a number of thirds near to the 5/4 relationship so that they sing harmoniously, and junking the discordant resonances or rather moving them so that the pure intervals coincide and reinforce in contrast to the discordant harmonics is really exactly what tuning in an unstretched Kellner does. The sound of which you speak as being "characteristic" might be characteristic to the modern piano as you and most excellent  modern technicians tune, but it's unmusical. That's an age-old criticism of equal temperament and the obverse is as true and valid now as it always was. When we convert to the unequal temperament we don't actually lose the sound of the instrument, we lose the sound of the inharmonicity of the tuning, and we bring forward the harmonicity of the music.

    This is an issue on which musicians can take a view only when they've experienced it. Many have and are coming to appreciate its importance and the life with which tuning can bring to the music.

    I heard from an organ builder friend today that he's been introducing unequal temperament on the instruments he maintains, "by stealth", for years and it's perhaps from this sort of experience that pianists who also play the organ have come to realise that the music has on offer more than the conventionally tuned piano can provide.

    It will be good for the instrument if piano tuners can put temperament other than equal on the menu of services to musicians that they can provide.

    Best wishes

    David P


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    +44 1342 850594

    Virus-free. www.avg.com





  • 98.  RE: Improving piano tone through tuning and temperament

    Registered Piano Technician
    Posted 03-13-2019 11:45
    I've stayed out of this discussion because I don't have the depth of historical knowledge to add to what's already been given or challenge it. But I'm going to wade in with a few general points.

    1. David's basic tenet that UT enhances piano tone is faulty. Piano tone belongs mostly to physics, i.e., the quality of the piano design, construction, etc. Equal temperament grows out of that basic construction of pianos, especially inharmonicity in heavy wire. ET averages out the inharmonicity in such a way that primary intervals (octaves, fourth, fifths) blend together in such a way that the intervals magically appear to be beatless. Virgil Smith used to describe it by saying that his tuning results in beatless octaves, double octaves and triple octaves. At the time, I just couldn't buy that, but I now have come to believe that there is a certain "magic" to getting the wide intervals close enough to pure that they merge into the piano purity that Virgil was trying to describe. 

    2. I appreciate David's passion for UT, but it only "improves" piano tone if you have a rather rigid belief in absolutely pure intervals. But physics works against that in that pushing one way toward pure results in pulling another way toward an impurity that verges on sounding out of tune, especially to the modern ear used to hearing ET. I don't doubt that this can be interesting, and "musical" in a way that let's the modern ear return to pre-ET days. Keys did have moods in the days of UT. And hearing those can be very interesting and enjoyable and enlightening and can actually give us a closer approximation to and appreciation of what the composer heard and intended. But no UT actually "improves" the tone of a piano, IMHO. That is a value judgement, IMHO. And perhaps UT may not fit in an inharmonic environment as is found in pianos.  

    3. It seems to be that making the argument for UT along mathematical lines just takes us back to pre-ET times, academic exploration of UT on the intellectual level with the historical reality that actual tuning practice probably involved a lot of guessing and fiddling while using some basic ideas of interval qualities (as many pure triads as possible in keys that were used the most). It seems to me that most of the treatises on tuning were by academics who my not have actually tuned. Montal possibly being the exception but not the rule. Tuners were just trying to get the job done with the basic knowledge they had on instruments that didn't have complicating inharmonicity to make the job harder. Perhaps the evolution toward ET in the 19th century came from the growth of piano tuning as a profession, and the desire to find a temperament that works best in an the inharmonic world of pianos.

    4. UT fits early keyboards (pipe organs, fortepianos, harpsichords, etc.). Inharmonicity hardly plays a role in those instruments. And music was tonal. The moods of keys were well known. Composers created music that fit those basic facts. Then pianos came along. inharmonicity created by heavy, high-tension wire was the big game changer. Perhaps it came to be believed that ET was the best way to diminish the effects that inharmonicity created and smooth out beating in such a way that the "whole piano sound" that Virgil was trying to describe was actually doable. 

    5. Finally, putting any kind of temperament on a piano is impossible. Imagine trying to line up grade schoolers, kindergarten through middle school. The younger ones would be shorter; the older ones taller forming a general height curve. But the height curve would not be mathematically smooth. To get that you'd have to make some kids stand on tip toe while others would have to hunch lower. A piano has that kind of variation note-to-note, but you can't change the construction by making one note stand on tip toe and another note hunch. Every piano has its own bumpiness. What the tuning helps to do is to put a curtain in front of the note-to-note variations to make it appear that there's a smooth note-to-note progression, even though there isn't. The better the piano, the more the curtain matches the actual curve.That curtain is what we create as tuners. Behind that curtain is the imperfect reality in construction that we're trying to deal with and smooth out. And each piano is going to have its own configuration of bumpiness which gives us the challenge of making the best curtain to fit each piano. 

    I know that has gotten a little long. I just felt I needed to stand up for equal temperament, while also saying,"Vive la difference." UT can be exciting as long as customers understand what's happening. On the other hand ET has its own kind of excitement and so I have to kindly object to those nay sayers who characterize ET as boring and vanilla. It's not, IMHO. I can go along to some extent with the arguments for the use of UT, just not at the expense of beating up on ET.

    Richard West





  • 99.  RE: Improving piano tone through tuning and temperament

    Posted 03-13-2019 12:20
    There is a very simple solution:

    Use a temperament that lies between equal temperament and unequal temperament.

    A temperament that is symmetrical around the Circle of Fifths and contains unequal intervals lies between equal temperament and unequal temperament.
    ------------------------------
    Roshan Kakiya
    ------------------------------



  • 100.  RE: Improving piano tone through tuning and temperament

    Registered Piano Technician
    Posted 03-13-2019 12:42
    Roshan,

    Given the difficulty and reality of piano tuning, your solution is what piano tuners do. The degree that a technician can achieve ET will determine the quality of the tuning. In other words, ET is the goal because it best fits an inharmonic environment. The piano construction mitigates against reaching ET and so we are left with a compromised form of ET that seeks to match the piano and the quality of its construction and to approximates the elusive ET goal. 

    Intentionally using UT which was well adapted to the harmonic environment of early keyboards before 1900, can be useful and instructive, but does it fit the inharmonic environment which is a given in pianos? Would trying to tune something between ET and some selected UT sequence solve problems, or create them?

    Richard








  • 101.  RE: Improving piano tone through tuning and temperament

    Posted 03-13-2019 13:51
    Dear Richard

    Please don't think I'm averse to where you're coming from. I tuned ET for 25 years.

    But I've witnessed performance changing in near 40 years of promoting piano recitals. Modern performers treat the instrument as a percussive instrument - which in inharmonicity I'll be rude enough to equate to a gamalan - rather than a singing instrument on which an orchestra can be reduced as by Beethoven.

    The point to UT is that one's tuning the fundamentals to have their pure relationships and in that the inharmonicity becomes irrelevant. We can then get back to the spirit of music composed in the classical or romantic repertoire. The experience of the inharmonicity being irrelevant is revelationary. It's worth the try. I've given the instructions on what to do and how to do it. Try it!

    The effect on modulation is really wonderful and actually because it's selective between keys the sort of effects that are familiar to you are still there to the extent that it doesn't rob the instrument of what you admire about the instrument, far from it, it adds. The bottom line is the result in perception of performance. The UT opens up an appreciation of expression by sensitive musicians. In competitions the effect can be to sort out the sheep from the goats as the expressive musicians will make more meaningful music than merely the fingermechanics.

    Best wishes

    David P


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  • 102.  RE: Improving piano tone through tuning and temperament

    Registered Piano Technician
    Posted 03-13-2019 17:38

    Please don't think I'm averse to where you're coming from. I tuned ET for 25 years.

    But I've witnessed performance changing in near 40 years of promoting piano recitals.
    David Pinnegar,  03-13-2019 13:50
    David,
    I wonder if you would like to expand on your mention of tuning ET for 25 years and promoting piano recitals for 40. What do those figures represent? How many tunings have you done in an average year over the past 25? How many concerts have you promoted during an average year, and where?

    I have been a professional piano technician for 40 years. I have tuned an average of 1000 pianos per year during the past 25 years, over 10% of which have been for concerts. In all those years, I have found the interest in unequal temperaments to be so insignificant as to be best considered nil. (The major exception is that I have been asked to do UETs occasionally, usually Vallotti and 1/4 comma mean tone, for educational demonstration purposes).

    Among PTG members subscribed to these lists, and among those with whom I have discussed tuning over these decades, there is a relatively small proportion who advocate passionately for UETs - but not one of them advocates for anything as "extreme" as Kellner or Kirnberger III. In fact, most of the tuning patterns they advocate for are mild enough that the majority of those listening would mistake them for ET. Those who always tune UET typically say that the majority of their customers aren't aware of it (unless subliminally).

    But the vast majority tune the best ET they can muster, and their experiences agree with mine: "the demand for UETs is minuscule." Any statement to the contrary needs to be supported by details to have any credibility.

    ------------------------------
    Fred Sturm
    University of New Mexico
    fssturm@unm.edu
    http://fredsturm.net
    http://www.artoftuning.com
    "We either make ourselves happy or miserable. The amount of work is the same." - Carlos Casteneda
    ------------------------------



  • 103.  RE: Improving piano tone through tuning and temperament

    Posted 03-13-2019 20:17
    Dear Fred

    It's through tuning for specific performers and specific events that I've come to be quite particular as to what I'm listening for - and Kellner isn't actually extreme. Were you to have tried it you'd find that many performers don't even notice it. Of course https://www.youtube.com/watch?v=wwbeh6xQJjM can't be Kellner.

    I started promoting a platform for young musicians with the John Maynard Society in the late 70s and before that concerts with Martin Eastick who was one of the first collectors of music by the likes of Moscheles, Henselt, Thalberg, Amy Beach and starting a movement which has become much more mainstream in the past two decades. From 1983 to around 2005, perhaps 2007 I was tuning ET and since, purely unequal temperament and through the whole period working with discerning performers. It's not quantity but focus that's brought me to the understanding of piano tonality and its relationship with harmonics, scale and inharmonicity. Amongst this I've studied organ tuning since the mid 70s and with a foot in the organ building world have examined historic organs https://www.youtube.com/watch?v=LShvbEbvwlI https://www.youtube.com/watch?v=M81n6YRmq9U https://www.youtube.com/watch?v=2Bix-_RlXqs  https://www.youtube.com/watch?v=o8h6sItMfkQ https://www.youtube.com/watch?v=OARFBig_u9M https://www.youtube.com/watch?v=UwoglLif3ps with specific attention to tuning. Tuning comes from the physics of sound and tonality comes from the harmonic content. I've been through a period synthesising such sounds https://www.youtube.com/watch?v=bi2pdYou-Rs and encouraging exploration of temperament https://www.youtube.com/watch?v=dNkeBEhjqiA and my piano tuning results from long study and experiments very deliberately taking tuning and repertoire to their limits to see where those limits really are https://www.youtube.com/watch?v=rzrIWR3s84Q https://www.youtube.com/watch?v=oV0bkcSr_Kg

    Of course Kellner is extreme. So extreme it's impossible to be used for accompanying other instruments nor be used for 20th century music. https://youtu.be/7O-guxH7Ggg Not. Nor https://youtu.be/4L-sbXa6h9o either. Totally unsuitable for 20th century repertoire https://youtu.be/GJcOSUnGSsk https://youtu.be/CzkZEWRlzT4. Not.

    A friend warns me of the damage that piano tuning does to the ears so I don't want to get anywhere near 1000 pianos per year. Enough to start the ball rolling is good enough for me and the only reason why tuners aren't asked for UTs is that most musicians don't know about them, many tuners likewise, and there are so many temperaments available for those who haven't done the experiments making a choice and taking an informed decision is out of the question.

    Over the past decade I've done the experiments for numerous performances of the whole gamut of repertoire with a wide variety of musicians who've shared my enthusiasms https://www.youtube.com/watch?v=teVlrYJGKAE and diligently recorded the results for others to experience, and taking the results to other pianos even with extremes https://youtu.be/BhNf3zRd5cs 

    It might not be how many one's done in 40 years but what one's done and to what point in those years that's key.

    Best wishes

    David P
    --
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    David Pinnegar, B.Sc., A.R.C.S.
    - - - - - - - - - - - - - - - - - - - - - - - -
    +44 1342 850594





  • 104.  RE: Improving piano tone through tuning and temperament

    Registered Piano Technician
    Posted 03-14-2019 17:09
    I have been following this thread but it has gone on so long, I may have forgotten something, so if my questions were already answered, please forgive me.

    1. Have you, David, or anyone else who is interested in UT, for that matter, converted a 'fingermechanics'/'insensitive' pianist to be less so by introducing them to UT?  To my thinking, that is how you would steer the music scene your way.

    2. In academic settings, musicians know all about UT and have for years. I have heard the same as Fred stated, that no one asks for them

    Thanks,

    Cindy



    ------------------------------
    Cindy Strehlow
    Urbana, IL
    ------------------------------



  • 105.  RE: Improving piano tone through tuning and temperament

    Posted 03-14-2019 17:42
    Dear Cindy

    The problem is that not enough fingermechanics have been introduced to the tuning in order to know if an appreciation of the sound can grow.

    However, there is great emphasis on the provenance of performers that they were taught by someone taught by someone tracing a lineage back to an admired composer or performer. Many don't have the privilege of such heritage, so they have to have clues to work it out. A performer who I know quite well has had that heritage and when introduced to the unequal temperament says "this makes the instrument do almost by itself what I was trained to do (manually)" and she has demonstrated to me where by leaning on notes and giving emphasis and deemphasis she can fake the emotional effect of the unequal temperament even when playing in equal. So she's received the information from a lineage of teachers, but confirms that the music itself performed in the temperament does almost by itself the nuances she was trained to bring forward. Without that lineage, then at least the tuning therefore gives landmarks which a sensitive musician can pick up upon without that lineage of training. I hope that at our seminar on 6th May she'll be coming to do a demonstration of "faking it".

    However, she and I still debate because although I lose on some of her points because she successfully demonstrates faking it she can't win on the superiority of ET in terms of the calmness that the "home" keys can bring in the unequal temperament.

    But a musician without the heritage of lineage of teaching doesn't know what to fake. Familiarity with the UT will provide the landmarks.

    You're spot on about academic knowledge of UTs. The problem is that in institutions few have dared to specify a Steinway to be tuned to an unequal temperament. A reason for that is "which one"? Anyone who did the experiment in an institution and got it wrong would cause the sky to fall on their head. So my experiments over the past decade have found that a solution to the problem of choice is possible and that there are unequal temperaments which are suitable to be used generally, some giving more flavour than others.

    Today a retired official of the Incorporated Society of Musicians visited me and was quite enthusiastic, even over the moon with the sound she heard. As an instrumentalist she was saying that her role playing 2nd (wind instrument) in the orchestra was that of providing inner harmony. That role requires specific attention to tuning, and that's where perhaps orchestral players might well particularly appreciate the sound of the well-tuned Klavier. My heritage as a horn player working on harmonics, and an organist constructing sound as we do harmonically with stops, has probably influenced my ear to pick up on piano tuning and coming from the perspective of a physicist. 

    Best wishes

    David P

    --
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    David Pinnegar, B.Sc., A.R.C.S.
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    +44 1342 850594





  • 106.  RE: Improving piano tone through tuning and temperament

    Posted 03-13-2019 15:28
    Richard,

    I think a mathematical/theoretical solution should be found before the practicalities and realities of tuning can be considered.


    I believe the following page summarises the theoretical difficulties of tuning quite clearly:

    https://justintonation.tp3.app/temperaments


    David has identified the following objective below:

    "My focus has been to identify temperament which reduces shimmer noise from the sound, allowing greater focus to the music and the harmony."


    After experimenting with the mathematics of tuning, I have found that: 

    • Just intonation is impractical because of its commas, for example the Pythagorean comma and the Syntonic comma, which means a temperament must be constructed that has a closed Circle of Fifths to be practical.
    • A solution should be found by starting with just intonation and then fixing that which is broken whilst not fixing that which is not broken.
    • Equal temperament's symmetry should be replicated to the most possible extent because I believe its symmetry enhances its practicality.
    • Unequal temperament's inequality should be present because I believe it can add flavour/colour/variety to the sound of music. 

    I had originally created my well temperament by correcting the Pythagorean comma (23.46 cents).

    https://my.ptg.org/communities/community-home/digestviewer/viewthread?GroupId=43&MessageKey=db956071-2c21-439d-8ae5-be761bfbf01e&CommunityKey=6265a40b-9fd2-4152-a628-bd7c7d770cbf&tab=digestviewer&ReturnUrl=%2fcommunities%2fcommunity-home%2fdigestviewer%3fcommunitykey%3d6265a40b-9fd2-4152-a628-bd7c7d770cbf%26tab%3ddigestviewer


    I was fascinated by the just intonation dilemma that Cobrun had described which I had identified as the Syntonic comma (21.51 cents).

    Cobrun had asked, "Is the solution to temper the frequency of 2 & 4 as to widen the interval enough so that 1 & 2, 1 & 4, 2 & 4, 2 & 5, 4 & 5 beat equally out of Just?". The answer to this question is yes. I had identified that the solution was to widen D-F by 2/3 Syntonic comma, narrow C-D by 1/3 Syntonic comma and narrow F-G by 1/3 Syntonic comma:

    https://my.ptg.org/communities/community-home/digestviewer/viewthread?GroupId=43&MessageKey=3ce711a8-1939-4ab8-9f88-c85435a71885

    However, this solution only partially solved the just intonation dilemma so I strove to create a full temperament based on the limited number of figures that I had calculated.


    I had identified that this solution fortunately included a fifth-fourth relationship (C-G-D). I simply repeated this pattern for all the fifths and fourths in the Circle of Fifths to produce a temperament. However, I had stumbled onto another comma called the Diaschisma (19.55 cents).

    The Diaschisma caused the octave to be narrower than 1200 cents. There were 6 pure fifths and 6 tempered fifths. I wanted to keep the 6 pure fifths intact because I did not want to fix that which is not broken. I considered the 6 tempered fifths to be broken so I decided to distribute the Diaschisma across them by widening each of them by 1/6 Diaschisma.

    I had finally arrived at the final temperament which meant that I had completely solved the just intonation dilemma.

    Surprisingly, the final temperament is exactly the same as my well temperament:

    https://my.ptg.org/communities/community-home/digestviewer/viewthread?GroupId=43&MessageKey=24d4bbfe-b437-47ca-96a0-3d02a93bc621&CommunityKey=6265a40b-9fd2-4152-a628-bd7c7d770cbf&tab=digestviewer&ReturnUrl=%2fcommunities%2fcommunity-home%2fdigestviewer%3fcommunitykey%3d6265a40b-9fd2-4152-a628-bd7c7d770cbf%26tab%3ddigestviewer


    This temperament is an unequal temperament that is symmetrical around the Circle of Fifths. It combines the symmetry of equal temperament with the inequality of unequal temperament. Therefore, it lies between equal temperament and unequal temperament.


    The harmony of my temperament seems to be better than that of equal temperament because David's analysis below has shown that my temperament is almost the same as Kellner in terms of harmony.


    Finally, my temperament is very mathematically close to equal temperament. Equal temperament only needs to be modified slightly to produce my temperament.

    ------------------------------
    Roshan Kakiya
    ------------------------------



  • 107.  RE: Improving piano tone through tuning and temperament

    Registered Piano Technician
    Posted 03-13-2019 17:07
    Roshan

    Are your temperament numbers applicable only to the fundamental of a note? What about upper partials? In a purely mathematical, system that calculates only fundamental, or first partial frequencies, your conclusions may be valid. But your work is no different from all of the academic work of the 19th century and earlier theoreticians. The math works for early keyboards without or with very little inharmonicity in the strings.

    In modern pianos the partials of the strings are not harmonic. And, in fact, if you measured the frequencies of the first 8 partials  of a particular note, those numbers would not only vary from piano to piano, but from season to season. The reason for this is that the lengths of strings varies enough between pianos, even between pianos of the same brand, that the upper partials vary. A 2:1 octave in one piano probably won't measure out the same as in another piano. 

    The problem of temperament is, therefore, multiplied by 8, more if you keep adding partials to your considerations. 

    Achieving "resonance" becomes a problem of how to bring various upper partials close enough to one another, so that they eventually may pull and tug each other into something close to purity. That's the magic that Virgil Smith talked about. The better the piano, the higher the chances for better overall resonance throughout the whole piano. Kent Swafford would say that the Pure 12th organization of notes achieves the magic resonance the best. I agree it is highly effective and produces wonderful results. The important concept is that resonance is not solely determined by the fundamental. 

    I applaud your efforts, but they don't have too much use for piano tuners. Try calculating/measuring all of the 8 lowest partials and see what kind of results you get. I'd really be curious to find out what you discover.

    Richard West








  • 108.  RE: Improving piano tone through tuning and temperament

    Posted 03-13-2019 17:04
    Anything that is not equal temperament is not equal temperament, any "between" is also unequal.
    But there are some fun and practical experiments that can be done with programable ETDs, such as CyberTuner.
    1) Open to a temperament of choice and copy the offsets from ET.
    2) Multiply the offsets by a multiplier of choice, say 0.5 or 0.33 or 0.25
    3) Open a new temperament file, give your creation a name and enter the offsets.
    4) Tune some pianos.
    If you began with, say Valotti, your new temperaments will be "one-half, one-third and one-quarter Valotti."
    This can be seen as "turning down the volume" of the unequal temperament. Nice to try with practice rooms.
    An experiment I have not tried yet is to tune an unequal temperament in CyberTuner's Perfect 12th mode, but a fine tuner tells me the result with a moderate unequal temperament can be very good.

    ------------------------------
    Ed Sutton
    ed440@me.com
    (980) 254-7413
    ------------------------------



  • 109.  RE: Improving piano tone through tuning and temperament

    Member
    Posted 03-13-2019 19:06
    "... An experiment I have not tried yet is to tune an unequal temperament in CyberTuner's Perfect 12th mode"... Intriguing, but I've avoided the actual experiment because the essence of the P12 is the clarity of the perfect beatless 3:1 octave fifth, whereas any of the well temperaments has compromised fifths (and therefore octave fifths) on the white keys, which works to undermine the P12 on those keys. 
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    jason's cell 425 830 1561







  • 110.  RE: Improving piano tone through tuning and temperament

    Registered Piano Technician
    Posted 03-13-2019 23:08
    Jason is correct.

    This is difficult to explain. The software that we use to calculate unequal temperaments assumes a pure octave. We punch in offsets for 12 notes and those offsets repeat every octave, or every 1200 cents.

    When this system was invented, no one foresaw that equal temperaments might someday come in different widths. (Well, there was stretch.)

    Technically, the wider ET’s not based upon a pure octave, do not repeat every octave; each octave is instead successively sharper and sharper. Pure 12 ET repeats every 1201.23 cents. Offsets that assume a 1200 cent octave are very slightly skewed if starting with a wider ET.

    The errors would be small, but mathematically identifiable. (An offset to widen a fifth by 1.96 to make it pure, would operate on a Pure12 ET-sized fifth which is 1.23 cents contracted, not 1.96 cents contracted that the software is expecting.)

    Again technically, unequal temperaments should be calculated using pure octaves. This means that to be completely correct in RCT, unequal temperaments should be calculated based upon OTS1 tuning records. In Verituner, unequal temperaments should use only the pure octave (pure8) style.




  • 111.  RE: Improving piano tone through tuning and temperament

    Posted 03-13-2019 23:48
    I understand the mathematical concern, but am reporting that a person of very fine skills has tried it and said he likes the result. My own laziness has delayed my testing for myself.

    ------------------------------
    Ed Sutton
    ed440@me.com
    (980) 254-7413
    ------------------------------



  • 112.  RE: Improving piano tone through tuning and temperament

    Posted 03-14-2019 07:30
    To be accurate this morning, my friend used Jorgensen's "Representative Victorian" temperament with CyberTuner P12 mode.
    Rep. Vic. narrows C-G by 0.5 cents and widens C#-G# by 0.5 cents, so it would not exceed pure fifths in the P12 mode, and the 12ths would be a bit off.
    Temperament offsets that aim for pure fifths might give a rough result.

    ------------------------------
    Ed Sutton
    ed440@me.com
    (980) 254-7413
    ------------------------------



  • 113.  RE: Improving piano tone through tuning and temperament

    Registered Piano Technician
    Posted 03-14-2019 02:26
    (Why) Should an aural tuner always strive for a particular "perfect" octave. What does having a "pure" octave mean? How is it of prime importance compared to other interval relationships?


  • 114.  RE: Improving piano tone through tuning and temperament

    Posted 03-14-2019 05:03
    The exact size of any interval of pure 12th equal temperament in cents can be calculated by using the following formula:

    1200 × log23 × N/19

    N is the number of semitones contained within an interval.

    For example, N = 7 for all fifths because each fifth contains 7 semitones, N = 12 for all octaves because each octave contains 12 semitones and N = 19 for all twelfths because each twelfth contains 19 semitones.

    Semitone = 1200 × log23 × 1/19 = 100.1028947824 cents (10 decimal places).

    Fifth = 1200 × log23 × 7/19 = 700.7202634767 cents (10 decimal places).

    Octave = 1200 × log23 × 12/19 = 1201.2347373887 cents (10 decimal places).

    Twelfth = 1200 × log23 × 19/19 = 1901.9550008654 cents (10 decimal places).

    ------------------------------
    Roshan Kakiya
    ------------------------------



  • 115.  RE: Improving piano tone through tuning and temperament

    Posted 03-14-2019 05:38
      |   view attached
    I have calculated the size of each interval of pure 12th equal temperament in cents from the unison to the twelfth by using the formula that I have mentioned above. Please see the Excel file that I have attached to this post for all the figures.

    ------------------------------
    Roshan Kakiya
    ------------------------------

    Attachment(s)



  • 116.  RE: Improving piano tone through tuning and temperament

    Registered Piano Technician
    Posted 03-14-2019 13:07

       I say and believe octaves come in various alignments (sizes). How can they all be sized the same 1200 cents? In other words, as my wife puts it, "If octaves come in various sizes the 1200 cents must (change to suit) come in various sizes too". Words in brackets are mine. Help! Does this have something to do with HZ/CENTS vs CENTS/HZ  as my wife just suggested to me?




  • 117.  RE: Improving piano tone through tuning and temperament

    Registered Piano Technician
    Posted 03-14-2019 13:26
    Generally, and for convenience, “cents” refer to the mathematical model of 12 tone to the pure octave equal temperament. Cents are the logarithmic way of expressing frequency differences.

    Octaves come in different sizes — of course, depending upon inharmonicity, stretch, width of equal temperament, which set of coincident partials is being measured...

    But for the most part, a cent is a cent, if for no other reason than standardization. So various flavors of octaves measure as different numbers of cents.

    Sent from my iPhone




  • 118.  RE: Improving piano tone through tuning and temperament

    Registered Piano Technician
    Posted 03-14-2019 15:28

     

       Kent: Thanks. Your reply reminds me of a piano seminar nearly 3 decades ago in Madison, Wi.

    The Virgil Smith class went to lunch. I and another man stayed and parsed the tuning. Virgil had his MmMm3rd ladder down to F21 or there about. The gentleman I was with said something like "this is good but my guys can take this down to at least C16". Was that maybe you? Suddenly it occurs to me that it might have been.

        I tried or thought to mention a contiguous M6th ladder of 4 down to the bass at the time but my ideas were even less developed then. I suppose that 4 contiguous M6ths = 3600(+/-) cents. A full 8 octave piano, A1-A97 would have at least 9600 cents, right? I do not use cents to tune. I compare beats since I seem to be able to hear them better than cents. In a nutshell my question is why are we so occupied with dividing up 1200 cents? I do not use cents but if I did my suggestion of using a tape measure involves dividing 9600 cents vs dividing 1200. Any sense here? Paul




  • 119.  RE: Improving piano tone through tuning and temperament

    Posted 03-14-2019 15:49
    This afternoon I was over at Tunbridge Wells socially visiting the Burnett Collection looking at Broadwood stringing and Erard pins.

    In conversation I realised that there was a way of explaining the principles of tuning and the conflicting opinions here, much as for instance lovers of opera might dispute the ubiquitous use of vibrato with a passion that we express here in tuning.

    The 1200 cent octave perhaps is unnatural to the post 1870s stringing scales and even for some time before, because of inharmonicity. The 1200 cent scale is specifically a precise 2:1 octave which might not exist in conventional pianos and tuning. The electronic tuner from the 1970s brought it in and certainly my tuning guru with whom I've been informally training for the last dozen years, and debating too, says he does not use stretching. Sometimes he uses a ETD for speed and sometimes he uses ear and gave me specific hints for finding the ET beat rates. But it was he who gave me the idea of removing stretch from the central three octaves, which for me set the heart of the music, in an unequal temperament.

    The conventional tuning fits the octave to the inharmonic, therefore unmusical, partials of the strings, and fits the equal temperament equally between to divide everything equally. The instrument becomes tuned to the inharmonics. In contrast where you have a tuning of a certain number of perfect fifths, not all but just some, the harmonic structure of the music is forced into the fundamentals of the scale, and the scale is forced into the 2:1 octave, with many exact temporal coincidences of vibrations between note, fifths, fourths and octaves, and a goodly number of pure near harmonic thirds. The music is squeezed into the natural harmonicity of the scale to which the inharmonicities of the instrument are irrelevant. That's why and where the unequal temperament formular for tuning succeeds and provides aural superiority for musicians who have experienced it.

    And then when we look at the necessarily wide thirds of the less good keys in the unequal temperament . . . they aren't at all much bigger than the stretched major thirds of the equal temperament stretched to fit the inharmonicity! So even the worst keys of the unequal temperament can be no worse than Equal Temperament whilst many of the keys are sweeter. It seems to be a win-win all round.

    Best wishes

    David P

    --
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    David Pinnegar, B.Sc., A.R.C.S.
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    +44 1342 850594





  • 120.  RE: Improving piano tone through tuning and temperament

    Registered Piano Technician
    Posted 03-14-2019 16:14
    “So even the worst keys of the unequal temperament can be no worse than Equal Temperament whilst many of the keys are sweeter.”

    No. This is not even close to how it really works. The statement is incorrect.


    Sent from my iPhone




  • 121.  RE: Improving piano tone through tuning and temperament

    Registered Piano Technician
    Posted 03-14-2019 17:14
    Kent is of course correct. There is no free lunch;-) If some of the intervals are better than in equal temperament, then some of the other intervals must be worse.

    Carl

    Sent from my iPhone
    Carl Lieberman
    CarlPianoTech.com




  • 122.  RE: Improving piano tone through tuning and temperament

    Posted 03-14-2019 19:33
    Carl,

    "If some of the intervals are better than in equal temperament, then some of the other intervals must be worse."

    These perceived variations could be considered key colours. How do you define "better" and "worse" anyway?

    ------------------------------
    Roshan Kakiya
    ------------------------------



  • 123.  RE: Improving piano tone through tuning and temperament

    Posted 03-14-2019 17:22
    Um . . . well if the octaves are stretched and everything is stretched in between the thirds must get stretched farther apart also . . . 

    In Kellner C#-F = 350.5/276.9=1.2656
    In ET 349.23/277.18 =1.2599
    In P5 ET Perfect 5th 349/276.8=1.2607

    So to say that the worst Kellner unstretched third is better than a stretched ET third isn't correct, I agree, but we're looking at a difference in proportion only in the third decimal place. It remains correct to say that the stretching of equal temperament goes in the wrong direction for major thirds and brings greater harshness.

    Best wishes

    David P

    --
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    David Pinnegar, B.Sc., A.R.C.S.
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    +44 1342 850594





  • 124.  RE: Improving piano tone through tuning and temperament

    Posted 03-14-2019 20:40
    David wrote: "The conventional tuning fits the octave to the inharmonic, therefore unmusical, partials of the strings, and fits the equal temperament equally between to divide everything equally. The instrument becomes tuned to the inharmonics. In contrast where you have a tuning of a certain number of perfect fifths, not all but just some, the harmonic structure of the music is forced into the fundamentals of the scale, and the scale is forced into the 2:1 octave, with many exact temporal coincidences of vibrations between note, fifths, fourths and octaves, and a goodly number of pure near harmonic thirds. The music is squeezed into the natural harmonicity of the scale to which the inharmonicities of the instrument are irrelevant. That's why and where the unequal temperament formular for tuning succeeds and provides aural superiority for musicians who have experienced it."

    I attempt a translation: You are tuning the piano to a 2/1 coincident partial octave, slightly smaller than a 4/2 or 6/3 octave. Thus, if, for example, this 2/1 octave were divided into equal semitones, each semitone would be slightly smaller than the equal semitones of a 4/2 or 6/3 octave.
    Then in addition, you tune Kellner in this 2/1 octave.

    Is that a fair, simple understanding of your basic approach?


    ------------------------------
    Ed Sutton
    ed440@me.com
    (980) 254-7413
    ------------------------------



  • 125.  RE: Improving piano tone through tuning and temperament

    Posted 03-28-2019 09:00
    Ed,

    "Anything that is not equal temperament is not equal temperament".

    This is true. A temperament must be completely equal to be called an equal temperament.


    "Any 'between' is also unequal
    ".

    My well temperament makes this assertion questionable because it is half equal and half unequal. This is why I have highlighted that my well temperament lies between equal temperament and unequal temperament.


    I can provide concrete evidence to support the claim that my well temperament lies between equal temperament and unequal temperament.


    My well temperament's equal intervals:

    1. All Major Seconds = 200 cents.

    2. All Major Thirds = 400 cents.

    3. All Tritones = 600 cents.

    4. All Minor Sixths = 800 cents.

    5. All Minor Sevenths = 1000 cents.

    6. All Octaves = 1200 cents.


    My well temperament's unequal intervals:

    1. All Minor Seconds = Either 98.04 cents or 101.96 cents.

    2. All Minor Thirds = Either 298.04 cents or 301.96 cents.

    3. All Fourths = Either 498.04 cents or 501.96 cents.

    4. All Fifths = Either 698.04 cents or 701.96 cents.

    5. All Major Sixths = Either 898.04 cents or 901.96 cents.

    6. All Major Sevenths = Either 1098.04 cents or 1101.96 cents.


    My well temperament is half equal and half unequal because 6 of its intervals are equal and 6 of its intervals are unequal.


    Therefore, my well temperament is the best of both worlds.

    ------------------------------
    Roshan Kakiya
    ------------------------------



  • 126.  RE: Improving piano tone through tuning and temperament

    Posted 03-28-2019 09:14
    Ed - your thoughts are rather interesting and look forward to more.

    Roshan - perhaps you might try downloading the Pianoteq software and in the trial mode you'll be able to add your temperament and the limited version is good enough to give an indication of how your temperament might sound. In due course I'll be doing something like this but have rather a lot on my plate at the moment. 

    For my taste in looking towards the classical composers your temperament doesn't do what I believe key colour was meant to achieve in the traditional characteristics of each key, but as a quasi equal it might well be interesting for those who want to experiment in changing piano tone but not introduce key colour. 

    Because your system is so close to equal it won't matter if the octaves are stretched too, so a normal tuning with which people are familiar will work, and from the spreadsheet it looks as though you're throwing the harmonics around enough to take the glistening edge usefully off the instrument.

    Best wishes

    David P

    --
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    David Pinnegar, B.Sc., A.R.C.S.
    - - - - - - - - - - - - - - - - - - - - - - - -
    +44 1342 850594





  • 127.  RE: Improving piano tone through tuning and temperament

    Registered Piano Technician
    Posted 03-28-2019 09:45
    Ed didn't share his thoughts. He asked a question.

    We are failing to have a productive conversation because we are not using the common language of tuning theory. Even a 2:1 octave is a "stretched" octave.

    ------------------------------
    Daniel DeBiasio
    Brooklyn, NY
    646.801.8863
    ------------------------------



  • 128.  RE: Improving piano tone through tuning and temperament

    Registered Piano Technician
    Posted 03-28-2019 10:20
    Roshan Kakiya,

    Your temperament splits the 12 notes of the chromatic scale (in pure octave ET) between the 2 whole-tone scales and offsets the two scales by 1.96 cents. So?

    As Bill Bremmer correctly pointed out, this is not well-temperament.

    As David Pinnegar correctly pointed out, this does not produce traditional key color.

    As Ed Sutton correctly pointed out, this is not equal temperament. The definition of equal temperament is that temperament in which the beat rates of like chromatic intervals all progress up the scale smoothly. In your temperament, any interval that spans from one whole tone scale to the other fails to progress smoothly; therefore this is not equal temperament. Period.

    The genuine well temperaments can be seen as a centuries-old compromise of sorts between equal temperament and mean tone temperament. What does your temperament add musically to the wealth of compromises that have already existed for centuries?







  • 129.  RE: Improving piano tone through tuning and temperament

    Registered Piano Technician
    Posted 03-28-2019 10:59
    True WT "maximizes" the harmonies in the larger proportion of keys generally used by most composers and pianists, and pushes the remote keys toward more dissonance, they being "less used" generally, but in the hands of a knowledgeable person often used for "special effects", coming back and resolving to the more harmonious ones. 

    Thomas Young' s "personal preference" rules from 1799 seem to me to be the best thoight out of them all.

    Can we hear some music played in this 6ET/6UT to help evaluate it?

    Pwg

    ------------------------------
    Peter Grey
    Stratham NH
    603-686-2395
    pianodoctor57@gmail.com
    ------------------------------



  • 130.  RE: Improving piano tone through tuning and temperament

    Posted 03-28-2019 13:53
    For about the past month I have been tuning UT (mainly Vallotti) on my personal pianos, and for several clients, one who is a highly accomplished early jazz musician, who also plays a good amount of 19th century music. I actually proposed the UT as an experiment to one client so that one person in the house would know, and the other (prinicipal musician) would be unaware.  The agreement was that if the musician didn't like something about the tuning I would agree to put the piano back into ET at no charge. This particular client when asked just said the piano sounded great, but not any better than it normally did. In other words he didn't notice. Another client had a similar experience.  I wouldn't characterize either of them as very "sensitive" or accomplished musicians.  However, my friend mentioned above, immediately noticed and went straight to comparing the clean and rough thirds. He also said that his most sensitive students who play from the heart have been noticing it too, and one of them in particular strongly prefers the sound over his other piano which is in equal temperament. The opinion of my friend is that he likes UT and is still exploring it at this time.  One thing I know is that even Vallotti to us is extremely obvious, especially when two instruments in the same room can be compared. I just can't understand how any piano tuner would say that it doesn't make a difference and that no one can tell....For me personally it has a profound effect on the feeling of the music, and increases my ability and desire to invent convincing improvisations. UT adds a delightful variation to the sterilized and homogenized sound that has unfortunately become a defining characteristic of the piano today....(one part of which is dogmatic use of ET). This last point is somewhat off topic, but this lack of tonal variation in the acoustic piano is one important reason why it is having more and more trouble competing with electronic keyboards.  People are losing interest in heavy, shiny, black, loud, powerful, sterlized, piano shaped objects. Overall, I think it is going to take a lot more than temperament to revitalize the acoustic piano in an increasingly sophisticated digital world, but man does Vallotti sound good on my 1876 Collard upright! Also I have noticed that UT seems to sound best and is easiest to tune on antique instruments....which is likely because of their lower inharmonicity.

    --
    "For I am not ashamed of the gospel, for it is the power of God for salvation to everyone who believes." -Romans 1:16





  • 131.  RE: Improving piano tone through tuning and temperament

    Registered Piano Technician
    Posted 03-14-2019 02:21

    Original Message:

    Paul Klaus

    I do not think it simple or fully know how to explain but I suggest we use “templates” and “temperaments” similar to the way we use rulers and tape measures.


    Sent: 03-13-2019 12:19
    From: Roshan Kakiya
    Subject: Improving piano tone through tuning and temperament

    There is a very simple solution:

    Use a temperament that lies between equal temperament and unequal temperament.

    A temperament that is symmetrical around the Circle of Fifths and contains unequal intervals lies between equal temperament and unequal temperament.
    ------------------------------
    Roshan Kakiya



  • 132.  RE: Improving piano tone through tuning and temperament

    Posted 03-04-2019 16:49
    Kent - yes - you're right - it's the Renold II which is an "open" temperament with stretched octaves but there's rather a lot of wholly stuff in what's written about it. Thanks so much for your links to the perfect 5th and perfect 12th schemes and in due course I'll see how those fare in the spreadsheet analysis.

    Any temperament which puts scale notes onto harmonics is going to still superfluous beating and be better therefore than the standard tunings we're accustomed to hearing.

    But the ability to change effect as one changes key and still quieten the vibrations seems to me to have an advantage and many musicians are coming to that sort of conclusion.

    For me having all thirds the same size whether pure or impure is less exciting than a temperament which gives variations between keys. Whilst the Equal Temperament tunings which stretch the octaves to fit the inharmonicity might sound less inharmonious than a vanilla tuning in which nothing fits with anything, the result is still that one's tuning the instrument to the inharmonicity rather than pushing the instrument into the shape of the harmonicities of the basic scale. Add to that the extra interest of different interval sizes waking up our ears and in my opinion then one's able to see an alternative which is valid and which will inspire intrigue and enthusiasm when heard.

    One of the members of this forum has contacted me about details of tuning and yesterday he started to knock an instrument into such a shape and he was very pleasantly interested in what he was hearing. As more people try it I think we'll be hearing more about such matters.

    Best wishes

    David P

    --
    - - - - - - - - - - - - - - - - - - - - - - - -
    David Pinnegar, B.Sc., A.R.C.S.
    - - - - - - - - - - - - - - - - - - - - - - - -
    +44 1342 850594





  • 133.  RE: Improving piano tone through tuning and temperament

    Posted 03-04-2019 17:16
    I have posted the mathematics of pure octave equal temperament and pure fifth equal temperament on this forum. These are the two ways in which the Pythagorean comma can be distributed to produce 12-tone equal temperament.

    Pure octave equal temperament gives us 12 narrow fifths and 7 pure octaves (each fifth has a size of 700 cents and each octave has a size of 1200 cents).

    Pure fifth equal temperament gives us 12 pure fifths and 7 widened octaves (each fifth has a size of 701.96 cents and each octave has a size of 1203.35 cents).

    https://my.ptg.org/communities/community-home/digestviewer/viewthread?GroupId=43&MessageKey=715ec92c-5155-4ffd-8452-811ccab3e98d&CommunityKey=6265a40b-9fd2-4152-a628-bd7c7d770cbf&tab=digestviewer&ReturnUrl=%2fcommunities%2fcommunity-home%2fdigestviewer%3fcommunitykey%3d6265a40b-9fd2-4152-a628-bd7c7d770cbf%26tab%3ddigestviewer

    ------------------------------
    Roshan Kakiya
    ------------------------------



  • 134.  RE: Improving piano tone through tuning and temperament

    Posted 03-04-2019 18:22
      |   view attached
    I have attached a zip file that contains the following files that I have created with the use of Scala:

    1. An image depicting the 12 pure fifths of Pure Fifth Equal Temperament.
    2. A Scala file of Pure Fifth Equal Temperament.

    This should be helpful for anyone who wishes to experiment with this temperament.

    ------------------------------
    Roshan Kakiya
    ------------------------------

    Attachment(s)



  • 135.  RE: Improving piano tone through tuning and temperament

    Registered Piano Technician
    Posted 03-04-2019 18:45
    Your pure 5th ET Scala file technically contains some small errors. Perhaps they are rounding errors?

    A pure 5th ET Scala file actually appears in the official Scala .zip file archive of Scala tunings, under the name kolinski.scl.







  • 136.  RE: Improving piano tone through tuning and temperament

    Posted 03-04-2019 19:03
      |   view attached
    Those are not errors. I have intentionally tweaked the figures on the Scala file so that every semitone has a size of 100.28 cents and every fifth has a size of 701.96 cents.

    The Excel file that I have produced and attached to this post literally contains the exact figures of Pure Fifth Equal Temperament. I have called it the "Alternative 12-Tone Equal Temperament".

    The mathematics is rather elaborate. I have used logarithms to calculate the exact figures.

    ------------------------------
    Roshan Kakiya
    ------------------------------



  • 137.  RE: Improving piano tone through tuning and temperament

    Registered Piano Technician
    Posted 03-04-2019 19:13
    Yes, these are rounding errors. You are using a rounded figure for the size in cents of the half-step, which appears to the source of the errors.

    Since a tested, published Scala file already exists for pure 5th ET which uses more precise figures, I see no reason to distribute these (small but real) errors.




  • 138.  RE: Improving piano tone through tuning and temperament

    Posted 03-04-2019 19:23
    The size of the semitone of Pure Fifth Equal Temperament is 100.2792858379 cents (10 decimal places).

    ------------------------------
    Roshan Kakiya
    ------------------------------



  • 139.  RE: Improving piano tone through tuning and temperament

    Registered Piano Technician
    Posted 03-04-2019 19:39
    I was taught that to avoid rounding errors, one should do one’s calculations with as many decimal places one could manage, then round as needed at the end after all the calculations have been completed. No?

    Sent from my iPad




  • 140.  RE: Improving piano tone through tuning and temperament

    Posted 03-04-2019 19:56
    The figures in my Excel file are completely precise.

    My Scala file is meant to be simple. That is why it contains figures to 2 decimal places. I have intentionally made the size of the semitone 100.28 cents so that Scala displays the size of every fifth as 701.96 cents. I have intentionally done this to make the size of every fifth consistent in Scala.

    ------------------------------
    Roshan Kakiya
    ------------------------------



  • 141.  RE: Improving piano tone through tuning and temperament

    Registered Piano Technician
    Posted 03-04-2019 20:11
    But if one rounds the precise figures from kolinski.scl to 2 decimal places, one gets figures that differ from your Scala file. Although this is a small matter, I feel an obligation to account for the differences, and have done so. I believe your new Scala file with its manipulated rounding errors, has no reason to exist; kolinsky.scl is sufficient and is accurate, as far as I can tell.

    Sent from my iPad




  • 142.  RE: Improving piano tone through tuning and temperament

    Posted 03-04-2019 19:45
    Dear Roshan and Kent

    Thank you so much for the details. I've inserted the Kolinski factor of 100.279286 cents per semitone into the spreadsheet.

    On the assumption that this scaling gives perfect 5ths independent of the inharmonicity, the inharmonicity being possibly less, this will increase the number of frequencies of notes and harmonics but the analysis is dependent upon the extent to which the assumptions about inharmonicity apply.

    In the analysis below proportions I've given previously are slightly different as I hadn't removed the frequencies between 27 and 130Hz in the analysis, but the results are significantly the same.

    The proportions below examine the extent to which notes and frequencies are the same, within 0 to 1/2 beat per second (near enough to 0), contrasted with 1/2 to 1 1/2 beats per second rounded to 1, and 2 1/2 to 5 1/2 beats per second.

    I'm significantly looking at the middle playing range of the scale from Tenor C around 130Hz to the B above Treble C around 1975Hz, and the resonance these notes provide to the bass and the extent to which playing these notes will ring on harmonic resonance of the bass.

    Proportion of same frequencies 
    Equal Temperament 38%
    Kellner Tuning 43%
    Perfect 5th ET,  Kolinski 37%

    So the altered ET makes no contribution to the reduction of beating given by Kellner, able to express calm rather than disturbed. Kellner wins on that by 5 or 6%.

    Is that 5% significant? Well bearing in mind our focus on the central three octaves and their interaction with the rest of the instrument that's 36 notes. We're looking at around 298 different frequencies in this harmonic analysis for Kellner and ET, 421 for Kolinski, so 5% of 298 represents around 15 frequencies. 15 frequencies in 36 or so notes represents a significant number, near to half demonstrating more resonance, calmer behaviour.

    Proportion of frequencies between 1/2 and 1 1/2 beats
    Equal 15%
    Kellner 9%
    Perfect 5th ET,  Kolinski  19%

    So Kolinski brings more frequencies into the 1 beat per second region and Kellner reduces that. So Kellner still shines in bringing a reduction in unnecessary beating, movement annoying to sensitive musicians looking for their music to be able to express calm rather than merely always excitement.

    Proportion of frequencies separated by 1/2 to 5 1/2 beats (1 to 5 beats)
    Equal 32%
    Kellner 26%
    Perfect 5th ET,  Kolinski  44%

    Proportion of frequencies separated by 2 to 5 beats
    Equal 17%
    Kellner 17%
    Perfect 5th ET,  Kolinski  25%

    Of course on account of inharmonicity assumptions we can't take this to be specific to either ET or Stretched ET but we're able to see that by whichever version of ET is appropriately stretched or otherwise to string inharmonicity, a significant deteriation can result with more beating, a denser spectrum of near frequencies present, so giving more more continuous set of frequencies for resonances to lock on to, so more confusion when using the sustaining pedal. No wonder many performances nowadays are dry and without sustain.

    The effect of this is hideous - https://www.youtube.com/watch?v=AF64GPfYw0Y is an example. Early pianos had inefficient dampers so to play dry like that is wholly unmusical and does not allow the notes to sing as Haydn intended. At the time much performance was on the Pantalon, without dampers at all. 

    This is an example where modern fashion in tuning has led to very faulty interpretation. Reverting to resonant tunings can both improve the sound of the instrument and lead to better, more engaging and more beautiful performances.

    Best wishes

    David P
    --
    - - - - - - - - - - - - - - - - - - - - - - - -
    David Pinnegar, B.Sc., A.R.C.S.
    - - - - - - - - - - - - - - - - - - - - - - - -
    +44 1342 850594





  • 143.  RE: Improving piano tone through tuning and temperament

    Posted 03-04-2019 20:13
    Thank you for the analysis, David.

    Would you be able to analyse my well temperament? It is intended to be a compromise that contains the features of both equal and unequal temperament.

    I have provided the Excel file on this post.

    ------------------------------
    Roshan Kakiya
    ------------------------------



  • 144.  RE: Improving piano tone through tuning and temperament

    Posted 03-05-2019 04:19
    Dear Roshan 

    Thanks - in the digest email the details of your well temperament haven't come through so please email it on antespam@gmail.com (yes that is my email address) and I'll plug in the figures.

    Whilst the ETs of whatever colour of stretch and aim for any set of pure intervals whether octaves, 5ths or 12ths the figures demonstrate what musicians rather than technicians are hearing, that such temperaments are the shimmer in the piano sound, putting the music under a layer of gloss that's so shiny it dazzles our view of the music underneath.

    So the well temperaments of any sort are really worth investigating in the recovering of music in piano tone.

    Of course later 20th century composers have composed to exploit the gloss but even the piece by Arvo Paart that we've recorded demonstrates a beautiful clarity in the underlying sounds after removing the overcoat of gloss.

    Best wishes

    David P


    --
    - - - - - - - - - - - - - - - - - - - - - - - -
    David Pinnegar, B.Sc., A.R.C.S.
    - - - - - - - - - - - - - - - - - - - - - - - -
    +44 1342 850594





  • 145.  RE: Improving piano tone through tuning and temperament

    Posted 03-05-2019 10:58
      |   view attached
    Thanks to Roshan I've had the stimulus to incorporate facilities into the spreadsheet to test different temperaments. The results I've had from the Meantone don't seem to make sense but when measuring things one has to know what one's measuring. My focus has been to identify temperament which reduces shimmer noise from the sound, allowing greater focus to the music and the harmony.

    So by that criterion Kellner does well and Kirnberger III better.

    Roshan's temperament seems quite a surprise as the mathematical result is remarkably good with just half the notes offset by just less than 2 cents.

    Proportion of same frequencies
    Equal 38%
    Kellner 43%
    Roshan 42%
    Around 1 beat  
    Equal 15%
    Kellner 9%
    Roshan 8%
     
    1 to 5 beats  
    Equal 33%
    Kellner 28%
    Roshan 28%
     
    2 to 5 beats  
    Equal 16%
    Kellner 17%
    Roshan 18%

    Perhaps others might check through the spreadsheet and perhaps try other temperaments which are detailed on Sheet 8. It should be possible to copy a column of the offsets on Sheet 8 and paste them into the Column B at Row 5 on Sheet 7 which is the front page. The beat analysis should show immediately. Paste the name of the temperament on Sheet 7 in cell 2E

    The frequencies are generated from offsets starting at C standardised with A=0 in column B. Columns C and D are for working out the offsets from the scale values if given from C or from A appropriately.

    It will be interesting to try Roshan's temperament in Pianoteq. In my view it's better to force the instrument into harmony with amplication of the pure interval ratios rather than to force the music into the inharmonics of the instrument. The former approach can make the inharmonicity irrelevant.

    It would be very interesting and helpful if anyone could use the results of plugging in different temperaments into the spreadsheet to make a contribution in some way to ideas tabled for discussion at the seminar on tuning on 6th May at Hammerwood.

    Best wishes

    David P

    ------------------------------
    David Pinnegar BSc ARCS
    Curator and House Tuner - Hammerwood Park, East Grinstead, Sussex UK
    antespam@gmail.com

    Call for papers - Seminar 6th May 2019 - "Restoring emotion to classical music through tuning."
    ------------------------------



  • 146.  RE: Improving piano tone through tuning and temperament

    Registered Piano Technician
    Posted 03-05-2019 09:38
    Roshan,

    You mention either pure fifth or pure octave ET. Those have been the usual boundary parameters for distributing the Pythagorean Comma. The point of Pure 12th ET is that it puts half of the comma error on the fifth and half on the octave. Duh, the obvious way to distribute the comma. Octaves are +1.23¢, Fifths are -1.23¢ and when stacked together produce a 12th of 0.0¢. Kent has described the aural benefits of this approach.

    It of course doesn’t produce the unique key colors that you desire.

    Carl

    Sent from my iPad
    CarlPianoTech.com




  • 147.  RE: Improving piano tone through tuning and temperament

    Registered Piano Technician
    Posted 03-05-2019 09:44
    Since the subject line of this thread is "Improving piano tone through tuning and temperament," it is worth adding that since using OTS P (the perfect 12th temperament to which Carl refers), the pianos I service sound even better than they did before. The most common comment is that they sound "more resonant."

    Alan

    ------------------------------
    Alan Eder, RPT
    Herb Alpert School of Music
    California Institute of the Arts
    Valencia, CA
    661.904.6483
    ------------------------------



  • 148.  RE: Improving piano tone through tuning and temperament

    Registered Piano Technician
    Posted 03-05-2019 10:50
    Alan,
    Since you mention using OTS P (the RCT version of perfect 12th), I'll throw in the results of some experimentation I did. I tried OTS P, and found it sounded remarkably like what I had already been doing, which was based on OTS 5. So I read/calculated both 5 and P on a number of models of piano, both grands and uprights. I then took the values for 3 notes per octave (F, A, C#) and entered them (rounded to the nearest cent) in a spreadsheet for ease of comparison. 

    I found that the differences were rare, and almost all one cent, occasionally up to three in the outer ranges. I suspect that if I had entered decimals (or rounded to 0.5), the differences would have been even smaller. (There were some pianos where RCT chose a different partial to listen to on octave 2 between P and 5, 3 versus 5, don't know why, so there was no convenient way to compare those octaves directly)

    Just thought I'd throw that in the pot FWIW, as a suggestion that maybe the differences aren't as great as we might think. In my own opinion, the sum of 88 high quality unisons trumps a lot of fooling around with stretch, temperament distortion, etc. Kent wrote that using OnlyPure forced him to really focus on unisons (and that is true: the interface is quite finicky and forces you to consider just how clean is clean in a different light).
    Regards,
    Fred Sturm
    "Art is not a mirror held up to reality, but a hammer with which to shape it." Brecht






  • 149.  RE: Improving piano tone through tuning and temperament

    Registered Piano Technician
    Posted 03-08-2019 10:36
    To my way of thinking, if you want to test how a tuning affects the tonal output of a piano, there is a pretty simply way to do it. Depress the damper pedal. Play a note. Very quickly damp the strings of that note (with a finger, a mute, whatever). Listen. 

    Do that for various notes throughout the range of the piano.

    Do that for octaves or chords (harder to damp the strings, but possible).

    There was a pedal, I think called "harmonic," developed for this exact purpose: it holds the other dampers up, and only allows the ones played to drop. I believe a piano (Schimmel?) with that pedal was exhibited at a convention a few years back, though the pedal wasn't functioning too consistently as I recall.

    This kind of test could be done in a scientific, experimental way, probably best with a Disklavier or the like in order to make the force of the notes consistent. Do it for one tuning style, take readings (spectrogram type), then do it for another. Maybe someone is set up to do that sort of thing - BYU comes to mind. Otherwise, we are just arguing one anecdote against another.

    But you can do this sort of thing with reasonably good results yourself, to get a sense for what happens. The characteristic sound of the piano is with the pedal depressed, to one degree or other, with the sympathetic vibration of all the strings, not individual notes, intervals, and chords.

    ------------------------------
    Fred Sturm
    University of New Mexico
    fssturm@unm.edu
    http://fredsturm.net
    http://www.artoftuning.com
    "We either make ourselves happy or miserable. The amount of work is the same." - Carlos Casteneda
    ------------------------------



  • 150.  RE: Improving piano tone through tuning and temperament

    Posted 03-08-2019 11:04
    Fred - yes - that's a very good test as the inverse of https://www.youtube.com/watch?v=Pz0B0SwKpww and my demonstration has been incomplete without yours.

    Incidentally that video was made before I started tuning as now without stretch to the recipe I've given.

    However in your post there are a number of acronyms which perhaps not everyone will understand so FWIW perhaps it might be a good idea to expand them once in a while.

    This is important as it's not just technicians who read such forums as this, musicians do also, and I'm being contacted by a few musicians who have come to tune their own instruments upon not being satisfied with professional tuning. That, by the way, is a possible stimulus for professional technicians to get up to speed in this department and be able to offer unequal temperaments as an ordinary part of their work and make them available. Many musicians don't know that they have an option.

    The spreadsheet I've posted with analysis of Roshan's temperament is important not only because it's configurable for the test of any temperament but because I'm analysing the sound with beats not cents. In the temperament world we've been hooked on cents as it's a good indication as to what we hear as an interval. But it's actually beats which we hear when the pitches are near, which are either calm or disturb us. And it's that which is what music is all about, not merely the contrast of sound and silence, exemplified by 4 Minutes 33, but contrast of still with moving, and the journey from one to the other.

    The fact that John Cage rocked the boat drawing attention to silence as part of music is reason enough to listen to stillness rather than movement. That stillness can be achieved only with a lack of beats. So time to send the cents away.

    Best wishes

    David P

    --
    - - - - - - - - - - - - - - - - - - - - - - - -
    David Pinnegar, B.Sc., A.R.C.S.
    - - - - - - - - - - - - - - - - - - - - - - - -
    +44 1342 850594





  • 151.  RE: Improving piano tone through tuning and temperament

    Member
    Posted 03-08-2019 16:24
      |   view attached
    All right, here's a slimmed down version of the temperament chart maker that I have been using for years. You can input your offsets and the charts are drawn. There are four charts: major triads and minor triads for non-meantone temperaments (vertical scale +25 to -25 cents) and major and minor triads for meantone temperaments where the unused keys wander from just by up to 50 cents. Columns display the size in cents of each distance from just. They are arranged in order of the circle of fifths, starting with the C3 triad at the left, ending with the C4 triad at the right. Beat rates are displayed for M3, m3, and fifths. Enjoy.

    I have protected the workbook so you can look at the formulae but not change them.

    Cheers
    Jason Kanter

    ------------------------------
    Jason Kanter
    Lynnwood WA
    425-830-1561
    ------------------------------

    Attachment(s)



  • 152.  RE: Improving piano tone through tuning and temperament

    Member
    Posted 03-09-2019 14:09
      |   view attached
    I realized that the excel file I posted (TemperamentChartMaker-01.xlsm) had macros and VB code that I had not deleted from my source workbook when I slimmed this down. As a result your computer may have warned you that it contains macros, and actually there is no need for any macros in this. So I have stripped it of the macro and VB code, and now it is not xlsm but xlsx.
    .
    The file produces this kind of chart simply when you enter twelve offsets. The size of each column is cents, and the overlaid numbers are beat rates of M3 and m3 in the C3-C4 range.
    Wohltemperirt/Bach 1978

    ------------------------------
    Jason Kanter
    Lynnwood WA
    425-830-1561
    ------------------------------

    Attachment(s)



  • 153.  RE: Improving piano tone through tuning and temperament

    Registered Piano Technician
    Posted 03-09-2019 00:34
    Fred, if you or anyone wish to explore this line of inquiry, you might try what I've done to my piano. I installed a Tactile Transducer* onto the soundboard, basically like a speaker driver, it will transmit an audio signal into the soundboard. You could input any number of frequencies and see how the strings react. I've done this for my own compositional interests, one in particular is to use the strings as an acoustic filter so on the other side of the equation I've installed a set of Helpinstill electromagnetic pickups that don't "hear" the soundboard, only the strings. It would allow for a more controlled environment than the staccato approach, and help answer some of these questions about harmonic resonance of the strings, one thing to remember in that regard is that the board is imparting mechanical energy into all the strings so everything is going to ring-reverberate on an undamped piano. Gang mutes, strips, or blocking up dampers can allow you to be precise if you're looking for specific reactions. One note per string is probably preferable. This eliminates the effect of the hammer for good or ill.
    David P., something like this might help you answer your questions regarding inharmonic vs pure tone resonance.
    Folks who building soundboards might find these tactile transducers interesting as well. 
    It installs nondestructively with a 3M adhesive.
    *https://www.parts-express.com/dayton-audio-daex32qmb-4-quad-feet-mega-bass-32mm-exciter-40w-4-ohm--295-264

    ------------------------------
    Steven Rosenthal
    Honolulu HI
    808-521-7129
    ------------------------------



  • 154.  RE: Improving piano tone through tuning and temperament

    Registered Piano Technician
    Posted 03-05-2019 10:26
    Sorry to say but the graph that was posted is in no way even close to being a Well Temperament.  Also, sorry to say and I really mean it, the obsession with the pure 5th is not what will actually make the piano sound more consonant.

    ------------------------------
    William Bremmer
    RPT
    Madison WI
    608-238-8400
    ------------------------------



  • 155.  RE: Improving piano tone through tuning and temperament

    Posted 03-05-2019 11:07
    Carl,

    "You mention either pure fifth or pure octave ET. Those have been the usual boundary parameters for distributing the Pythagorean Comma. The point of Pure 12th ET is that it puts half of the comma error on the fifth and half on the octave."

    Pure 12th ET is an excellent solution/compromise. Pure 12th ET lies between Pure Octave ET and Pure 5th ET. We are neither distributing the Pythagorean comma across all the fifths only (Pure Octave ET) nor all the octaves only (Pure 5th ET) but both by the same amount (Pure 12th ET). Meeting in the middle seems to be a good way to solve tuning dilemmas.


    "It of course doesn't produce the unique key colors that you desire."

    We can also apply the meeting in the middle approach to find a solution/compromise that lies between equal temperament and unequal temperament, for example, my well temperament. My well temperament is symmetrical around the circle of fifths, as is equal temperament, and unequal, as is unequal temperament. This means that key colour is available as well as symmetry.

    How many temperaments are there that are both symmetrical around the circle of fifths and unequal?

    ------------------------------
    Roshan Kakiya
    ------------------------------



  • 156.  RE: Improving piano tone through tuning and temperament

    Registered Piano Technician
    Posted 03-01-2019 02:31
    Fred,

    Thank you. Having been around for a while and I would be surprised if I missed such lore. You're right, if it had been a big concern it certainly should have shown up in discussions about counterpoint. 
    As far as intuitive influences, perhaps it's not dissimilar to the way we acquire regional accents in speech. It's true too with regard to how music is played, intoned, and articulated on a regional basis. Not Taught so much as absorbed.
    Pianos would be a special case because of the expertise required to tune them but I imagine it applied historically.
    Physics aside, a large part of what has been discussed here comes down to taste.
    We live in an environment where objectivity is elevated and our ability to discretely measure anything far exceeds the abilities of our perception, we take this for granted, we expect it. But this condition is unique and distinctly different from our pre modern predecessors. Their world was far different, much less homogenized, much less discreet.
    When you add other, non-fixed tuned instruments to the mix the issue becomes more complex and rich as well, far beyond 12 tones to the octave in actual musical practice.

    I'd still like to know what is the beginning note of these UT tunings in practice.

    ------------------------------
    Steven Rosenthal
    Honolulu HI
    808-521-7129
    ------------------------------



  • 157.  RE: Improving piano tone through tuning and temperament

    Registered Piano Technician
    Posted 03-02-2019 16:06
    I did not know this topic was here until today. I have not had time to read everything that was written but got the gist of it. At the 1998 Annual Convention, Skip Becker hosted what was called a "Temperament Festival".  It featured one Steinway tuned in ET by Virgil Smith and several other pianos tuned in various ways.  It is too late to think about such an event for this year's Convention but from what I see, such an event could be quite popular.  One piano tuned "the way they do for the exam"  (very standard, very neutral, etc.)  One Pure 12ths piano tuned by Kent S. or maybe Bernhard himself.  A few other choices.

    I hesitate to make it a contest because that means winners and losers.  Just a display of what each idea has to offer and let the listeners decide for themselves which they like best and which they don't like at all.

    Many of you know me and those who do, know that I have been interested in this very idea now for 30 years.  I have not, in fact, tuned a piano in strict ET for any purpose or person for 30 years.  I know how to make a piano sound more appealing than what the exam standard offers.

    Before I ever started with non-equal temperaments, I had developed a stretch style than came to be known as "mindless octaves".  Others such as Steve Fairchild had the same idea.  Rather than pure 12ths, I tune the double octave and octave-fifth equally beating.  The result is that neither interval as an audible beat but the double octave can still be measure to be slightly wide and the octave-fifth is slightly narrow.  The single octave, octave-fifth and double octave all sound alike.  No real perceptible beat.  Such a compromise has a certain "noise canceling" effect. 

    The first Well Temperament I learned was the Vallotti.  Six pure fifths and six tempered fifths, each being tempered twice as much as in ET.  At that time, I did not own any electronic tuning device, so I tuned strictly by ear.  I tuned my octaves the same way as I did in ET.  What that meant was that I had very minimal stretch among the black keys with their pure fifths but maximum stretch among the white keys with their tempered fifths.  You cannot program any electronic program to do that.  You can use an electronic program, yes but then you have to tweak the octaves to get the right stretch.

    When I developed the EBVT  in 1992, it was still before I was tuning electronically, so I tuned that temperament's octaves the same way.  I have continued to tune most pianos that I tune in the EBVT.  I do occasionally tune other temperaments including the quasi equal temperament that I also developed.  I know what I like, I know what I want and I know what my customers respond most favorably to.

    Any departure from the exam standard (let's think of that as the default tuning) will produce an effect.  Some may hear it, some may not. It can be expected that people will actually have a preference.  Sometimes, putting a label on it will influence one's perception.  For example, if I called ET a "1/11 Syntonic Comma Meantone" then played music on it, some people would be put off just by the name but that is the equivalent of ET.  "We have chryogenically treated vials of mono hydrogen dioxide in the rear for anyone who may be thirsty".   (We have glasses of chilled water...")

    Therefore, one idea may be to not name which piano is which and let people just say which they liked the best and have the actual temperament and octave combination be revealed afterwards.  There could be some real surprises.

    ------------------------------
    William Bremmer
    RPT
    Madison WI
    608-238-8400
    ------------------------------



  • 158.  RE: Improving piano tone through tuning and temperament

    Posted 03-02-2019 18:20
    I like Bill's idea.

    On the larger scale, I would point out that "the question" which we have been discussing is being answered in an ongoing process of natural selection:
    Many digital keyboards are now in use which allow the player to "retune" the instrument's temperament instantly at the push of a programming button.
    Players who are interested will try these temperaments, and if they like them, become familiar with them. They may become enamored of a particular temperament, or they may develop a "vocabulary" of temperamental effects, or they may not care about varying the temperaments. If in some situation a performer feels a particular temperament is necessary for the proper performance of whatever they are playing, they will request, maybe demand a piano tuned in that temperament.

    We should not expect all opinions to converge to a final best answer. In my life as an amateur musician, I am lucky to have a resident piano tuner to serve my whims, when so motivated. I don't think I have a final personal opinion.  As a professional piano tuner I try to be a temperamental agnostic. I must admit that to a fair degree I feel most of my customers are prone to fall into a "Clever Hans" syndrome. They don't really hear with that much discernment, but they will say whatever they think will please me. Only a small percentage were really able to discern the difference between a "Victorian Temperament" and equal temperament.

    ------------------------------
    Ed Sutton
    ed440@me.com
    (980) 254-7413
    ------------------------------



  • 159.  RE: Improving piano tone through tuning and temperament

    Posted 03-23-2019 11:33
    In recommending instructions for others to tune unequal temperaments I've been too specific in advocating the central three octaves to be tuned straight without inharmonicity. Having had a couple of days last week tuning smaller instruments it's apparent that really one should focus on two octaves - tenor F to Treble F, tightly tuned. By ear this can be achieved with the numbers of perfect fifths. On longer instruments of course the harmonics are better behaved so then it's fine to look at C-C three octaves from Tenor C to the C above Treble C.

    Even confining the F-F two octaves to be free of stretch one's then ensuring that the top F isn't getting sharper so that still the Tenor C# to Treble F interval isn't unpleasant.

    Upon finishing an upright the mother of the piano student remarked that it sounded nicer, more mellow, less strident than before, and both she and the young student were particularly delighted at the result.

    Best wishes

    David P

    ------------------------------
    David Pinnegar BSc ARCS
    Curator and House Tuner - Hammerwood Park, East Grinstead, Sussex UK
    antespam@gmail.com

    Call for papers - Seminar 6th May 2019 - "Restoring emotion to classical music through tuning."
    ------------------------------



  • 160.  RE: Improving piano tone through tuning and temperament

    Registered Piano Technician
    Posted 03-23-2019 14:24

    In recommending instructions for others to tune unequal temperaments I've been too specific in advocating the central three octaves to be tuned straight without inharmonicity.
    David Pinnegar,  03-23-2019 11:33
    David,
    This statement makes little sense. How do you tune "straight without inharmonicity?" Taken literally, that would imply, perhaps, using an ETD of some sort to tune the fundamental (first partial) of each note to a theoretical, harmonic mathematical system, in which each note has half the frequency of the note an octave above, twice the frequency of the octave below. Yet I think you prefer not to use an ETD (correct me if I am wrong).

    I don't know of any way to tune a piano aurally "without inharmonicity," but perhaps you can enlighten us as to how this is to be done. Or perhaps you have written something you didn't mean (or possibly didn't understand).

    ------------------------------
    Fred Sturm
    University of New Mexico
    fssturm@unm.edu
    http://fredsturm.net
    http://www.artoftuning.com
    "We either make ourselves happy or miserable. The amount of work is the same." - Carlos Casteneda
    ------------------------------



  • 161.  RE: Improving piano tone through tuning and temperament

    Posted 03-23-2019 15:11
    Dear Fred

    Yes I tend  to use an ETD for accuracy and speed for the middle octaves at least, and the top two octaves also and was put onto using the CTS5 without inharmonicity by friend and a respected member of this group. I tune aurally the bass but often keep the CTS5 on as a visual reference. Often Stretch 3 works for the bass and coincides with what I'm doing, and if it doesn't I stick to aural.

    But it can be done aurally - with a temperament with many perfect fifths us tuning the network of fifths is tuning to the fundamentals. That's unless of course one's tuning the 2nd harmonic of one to the 3rd harmonic of the other - but even then inharmonicity in the central region tends to be slight in any event.

    Even when using the ETD I check aurally in any event.

     For the treble I use the procedure on the 1970s style ETDs, tuning a treble note aurally, setting the ETD pitch to that, and then taking the ETD down an octave to see how the note sounds picked up as the second harmonic on the ETD. Or I take for instance treble C already tuned, and set the ETD to the octave above to tune the ETD to the 2nd harmonic. By using such jumping tricks one can find which stretch setting fits the top end of the instrument and go from there. Often I find that on an instrument where stretch 3 is suitable in the bass Stretch 5 on the CTS5 is best in the treble. If one gets it wrong, on some instruments the sympathetic responance is so strong that one can hear the pitch going through and past the resonance point as one tunes, so one retunes to the resonance point.  

    It's not a matter of tuning to rules but what sounds nice. So getting beatless 2nd harmonic vs 3rd harmonic might not be a bad thing. But before when I was using a stretch, the Tenor C# to Treble F as in the first chord of Chopin's Raindrop prelude could be too wide and even the C# to F too wide in the tenor octave, and this would be OK on some instruments and not on others and I now appreciate it's the stretching of inharmonicity at play. So keeping that central section nice and compact solves that problem - or else one can cheat by raising the Tenor C# by a beat or even two.

    The effect of a wider stretch takes Kellner to be more like Kirnberger III and Kirnberger III stretched can make those wide thirds severe. 

    But when the length of the piano minimises inharmonic effects, such as the 1859 Hallé Broadwood on which we've done the ET vs Kirnberger III experiment, the Kirnberger is workable.

    Best wishes

    David P

    --
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    David Pinnegar, B.Sc., A.R.C.S.
    - - - - - - - - - - - - - - - - - - - - - - - -
    +44 1342 850594





  • 162.  RE: Improving piano tone through tuning and temperament

    Registered Piano Technician
    Posted 03-23-2019 17:44
    What, pray tell, is a CTS5?
    Fred Sturm
    University of New Mexico
    fssturm@unm.edu
    http://fredsturm.net
    www.artoftuning.com
    "Practice makes permanent. (Only perfect practice makes perfect)."






  • 163.  RE: Improving piano tone through tuning and temperament

    Registered Piano Technician
    Posted 03-23-2019 18:30
    Jahn TLS CTS 5 ETD here's the manual:
    http://www.tuning-set.de/Beda_5C_E_Internet.pdf

    ------------------------------
    Steven Rosenthal
    Honolulu HI
    808-521-7129
    ------------------------------



  • 164.  RE: Improving piano tone through tuning and temperament

    Registered Piano Technician
    Posted 03-25-2019 20:45
    Thanks for the link, Steven. This makes a lot of things clear. It is obvious that basing a conversation on "Improving piano tone through tuning and temperament" is not likely to be productive if it is based mostly on experience with CTS 5.

    CTS 5 uses a technology that is pre-Al Sanderson. It tunes using partial four for octave one, partial two for octave two, and partial one for octaves 3 - 7. That already tells you plenty. It has four preset templates available for tuning: narrow, moderately narrow, moderate, and wide (to paraphrase). They correspond to a Railsback curve with extremes, respectively, of about 10¢, 20¢, 30¢ and 50¢. It also has a fair number of preset temperament templates.

    All told, this is the rough equivalent of platforms (more common in the US) such as Peterson Strobe (though it looks like Peterson is a step up from CTS 5). Description of a tuning style or method based on using a CTS 5 is unlikely to communicate anything useful to anyone who doesn't also use that platform.

    Sanderson Accutuner (SAT), Verituner, TuneLab, Reburn Cybertuner (RCT) and OnlyPure are light years beyond this in sophistication and ability. As is moderate aural tuning chops.

    ------------------------------
    Fred Sturm
    University of New Mexico
    fssturm@unm.edu
    http://fredsturm.net
    http://www.artoftuning.com
    "We either make ourselves happy or miserable. The amount of work is the same." - Carlos Casteneda
    ------------------------------



  • 165.  RE: Improving piano tone through tuning and temperament

    Member
    Posted 03-25-2019 21:52
    Well, he is getting good results with his tweaking of these ancient settings. If he tried one of the current tweakable programs, maybe he could improve his results even more.
    | || ||| || ||| || ||| || ||| || ||| || ||| || |||
    jason's cell 425 830 1561







  • 166.  RE: Improving piano tone through tuning and temperament

    Registered Piano Technician
    Posted 03-25-2019 22:54
    Jason,
    He can be getting the most amazing results ever imagined, or even beyond imagination, but if he wants to try to talk about it in a way that conveys information to someone else, using CTS 5 lingo is not the way to do it. Nor is asserting that it is possible to tune fifths aurally by listening, not to the coincidence of partials 2 and 3 (not to mention 4 and 6), but instead listening only to the fundamentals - without explanation as to how this is possible.

    Practically useful communication about tuning requires a considerable amount of common knowledge and language. Do you believe that tuning of first partials for octaves 3 through 7 of a piano can form the basis for a rational discussion of tuning technique? (It can obviously lead to discussion about how breaks in inharmonicity make such a method essentially worthless, but we already knew that, didn't we?)
    Regards,
    Fred Sturm
    "The true sign of intelligence is not knowledge, but imagination." - Einstein






  • 167.  RE: Improving piano tone through tuning and temperament

    Posted 03-26-2019 08:40
    Well the CTS5 might be old but using it, for Kellner, I have had more reliable results than with TuneLab. I work with a mixture of ETD and ear so don't take the ETD for gospel down the bass but whatever formula the CTS5 works to, it's helpful. With the historic temperaments which give a flattened C# and a sharpened F that tenor C# is critical. I've uploaded Tunelab .tun files for successful tunings for a number of unstruments when I was using Tunelab and anyone can use these as a shortcut. It was only a Steinway B where stretch caused that interval to be wider than pleasant - and this is not the normal experience and why I persisted in a quest for something better. It was a member here who has used a CTS5 for a long time who's helped me over many years and I was always impressed by his results, which he achieved with speed and reliability and for that reason that I acquired the same model for myself. For longer instruments with well behaved harmonics it works very well. 

    Perhaps more sophisticated devices might be overthought because the exactitude of the tuning doesn't greatly matter. The accuracy of the tuning need only be, say, to one beat every two seconds in the middle octave. There are three criteria that make the difference - 
    1. throwing the 5th harmonic around so that it's not constantly evenly beating with the 17th, two octaves and third, so that it's either closer resonating or not resonating
    2. throwing the 9th harmonic off near accord with the 21st
    3. putting enough perfect 5ths into the scale to reinforce many of the 3rd harmonics, to resonate, and to bring many of the 3rds nearer to pure giving sweetness in resonance

    In organ-building it's a matter of tinkering with the mixtures and this makes the character of the instrument, as does, I've found, the tuning of the scale of the piano.

    Finally, yes one can tune perfect fifths with fundamentals without respect to the 3:2 harmonics. You can do it with a pair of electronic oscillators as a demonstration, which produce no harmonics and where there are no harmonics aurally as clues. 

    A relevant aspect to tuning fundamentals probably comes through more from organ tuning and are the Tartini Tones, the difference beats between two notes. So a pure fifth will have a difference beat audible an octave below the lower note. A pure third will have a difference beat two octaves below the lower note. In equal temperament that difference note is a quarter tone sharp and is one reason why Equal Temperament is discordant or unpleasant. You can hear it on the piano when you strike the major third quite hard, and when you've heard it you'll understand why some take objection to ET. When you then transform to a UT with some near perfect thirds, the Tartini tone is harmonious and reinforces the harmony whilst simultaneously reinforcing the 5th harmonic of a bass note likewise reinforcing the harmony. This is the reason why a good UT tuning is so magic and is capable of producing wonderful sounds. When the third is wide enough for the Tartini tone to be significantly sharper than the bass note, rather than a mere 1/4 tone, it's far enough away to be dissociated. This might well be why devotees of even further stretched octaves are passionate about the effect of stretched intervals with even wider stretched thirds, but from my experience and from perhaps the above explanation, it's clear that a UT can pull the musical harmony together more, rather like the close harmony of a barber-shop quartet.

    Best wishes

    David P
    --
    - - - - - - - - - - - - - - - - - - - - - - - -
    David Pinnegar, B.Sc., A.R.C.S.
    - - - - - - - - - - - - - - - - - - - - - - - -
    +44 1342 850594





  • 168.  RE: Improving piano tone through tuning and temperament

    Registered Piano Technician
    Posted 03-26-2019 10:36

    yes one can tune perfect fifths with fundamentals without respect to the 3:2 harmonics. You can do it with a pair of electronic oscillators as a demonstration, which produce no harmonics and where there are no harmonics aurally as clues. 
    David Pinnegar,  03-26-2019 08:39
    That is not what I would define as tuning the fifths aurally. I have no quarrel with the notion that it is possible to tune fifths with fundamental frequencies in a 3:2 ratio. That can be done easily with the most primitive ETDs. As for how that might be preferable to matching 3rd and 2nd partial (or 6/4, or compromising between the two), I certainly can't see a reason. They will blend because of how their partials line up. That's what you will actually hear.
    A relevant aspect to tuning fundamentals probably comes through more from organ tuning and are the Tartini Tones, the difference beats between two notes.
    David Pinnegar,  03-26-2019 08:39
    Organ tuning and piano tuning are quite different in so many ways that it is rarely useful to try to use methods for one on the other. The sustain of the organ makes such things as difference tone prominent enough (and long enough lasting) to be potentially useful for tuning. With the piano, that is rarely the case, as the difference tone is heard in combination with so many other factors, and decays too rapidly.
    When you then transform to a UT with some near perfect thirds, the Tartini tone is harmonious and reinforces the harmony whilst simultaneously reinforcing the 5th harmonic of a bass note likewise reinforcing the harmony. This is the reason why a good UT tuning is so magic and is capable of producing wonderful sounds.
    David Pinnegar,  03-26-2019 08:39
    Just thirds sound lovely. That's why 1/4 comma mean tone was popular for centuries. As long as you don't stray from its confines, everything sound harmonious - if you can ignore the lousy fifths. Then you happen to play an A flat major chord. OMG!! what happened to the beautiful tuning!?! Or F#. Or B major. Or, or, or. Fine for some music, not for most music played today (even museum music of the late Baroque through Romantic periods).

    When the third is wide enough for the Tartini tone to be significantly sharper than the bass note, rather than a mere 1/4 tone, it's far enough away to be dissociated.
    David Pinnegar,  03-26-2019 08:39
    Really? Tune a third wider than ET by 5¢. Then by 10¢. Then by 15¢. Listen. It sounds somehow acceptable because its difference tone is dissociated? Not to my ear.
    This might well be why devotees of even further stretched octaves are passionate about the effect of stretched intervals with even wider stretched thirds, but from my experience and from perhaps the above explanation, it's clear that a UT can pull the musical harmony together more, rather like the close harmony of a barber-shop quartet.
    David Pinnegar,  03-26-2019 08:39
    It must be an acquired taste, loving those stretched intervals with even wider stretched thirds. Doesn't do it for me, and doesn't do it for musicians I have tuned for - on piano. Even something as relatively tame as Vallotti raises hackles.

    ------------------------------
    Fred Sturm
    University of New Mexico
    fssturm@unm.edu
    http://fredsturm.net
    http://www.artoftuning.com
    "We either make ourselves happy or miserable. The amount of work is the same." - Carlos Casteneda
    ------------------------------



  • 169.  RE: Improving piano tone through tuning and temperament

    Posted 03-26-2019 10:58
    We hear music so many ways.
    I had a friend who played piano very well. I was surprised when she told me she had little ability to recognize melodies, but was very sensitive to harmonies. She sang in a choir using solfege, note by note, but had difficulty keeping up if the director changed the key of the piece. She was slow to recognize familiar pieces by melody only, but "got it" quickly when harmony was added.
    She was also a fan of extreme meantone tunings for piano. She loved playing through pieces of music "cataloging" out loud the degrees of dissonance, chord by chord, always quite thrilled to play a A flat chord. Clearly this was how she heard music. Her comment "I'm only interested in extremes."
    It became a serious limitation to her musical life, as she eventually insisted she would only play pianos tuned in her chosen temperaments.

    ------------------------------
    Ed Sutton
    ed440@me.com
    (980) 254-7413
    ------------------------------



  • 170.  RE: Improving piano tone through tuning and temperament

    Posted 03-26-2019 11:10
    In the middle range, whether tuning fundamentals or tuning 3:2 harmonics the chances are that stretch and inharmonicity in the middle of the instrument isn't going to cause the results to be much different.

    I've demonstrated in the spreadsheet in this thread that the Kellner worst major third ratio is only very little more than the width of the ET major third. In Vallotti it's less, so if someone thinks that Vallotti is too strong it's possibly on account of accounting for inharmonicity and associated octave stretching taking the third too wide. This is why I've advocated bringing the central two or three octaves tight, as tight as possible to the perfect 5th fundamentals and if necessary cheating on that bottom C#.

    Organ tuning gives a perspective on piano tuning that from which piano tuning can possibly benefit. I haven't had the torture of having to tune mixtures but understanding the ideas brings an insight. Piano tuning is the reverse of organ tuning. On organs we can tweak the mixtures, their composition and relationship of harmonics to fit the scale. On pianos the mixture of harmonics is set within the string but we can adjust the scale to bring them out or suppress them.

    That's what this thread is all about. When we suppress the metallic harmonics, not allowing them to coincide, and instead bring the harmonious partials to coincidence we can get a more rich and musical sound. My corpus of recordings proves that this can be done without limitation to the repertoire.

    Best wishes

    David P

    --
    - - - - - - - - - - - - - - - - - - - - - - - -
    David Pinnegar, B.Sc., A.R.C.S.
    - - - - - - - - - - - - - - - - - - - - - - - -
    +44 1342 850594





  • 171.  RE: Improving piano tone through tuning and temperament

    Registered Piano Technician
    Posted 03-26-2019 16:25
    "I've demonstrated in the spreadsheet in this thread that the Kellner worst major third ratio is only very little more than the width of the ET major third."


    For the benefit of those not wishing to be misled, pure octave ET M3rds are 13.69 cents widened in its math model; in the one Kellner temperament that I am familiar with, 6 M3rds are tempered less than 13.69 and 6 M3rds are tempered more widely than 13.69. The most tempered M3rd in Kellner is 21.5 cents wide, significantly wider than in ET.






  • 172.  RE: Improving piano tone through tuning and temperament

    Posted 03-26-2019 16:35
    Yes - in a previous thread - 
    In Kellner C#-F = 350.5/276.9=1.2656
    In ET 349.23/277.18 =1.2599
    In P5 ET Perfect 5th 349/276.8=1.2607

    so actually differing in the third decimal place.

    Best wishes

    David P

    --
    - - - - - - - - - - - - - - - - - - - - - - - -
    David Pinnegar, B.Sc., A.R.C.S.
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    +44 1342 850594





  • 173.  RE: Improving piano tone through tuning and temperament

    Registered Piano Technician
    Posted 03-26-2019 20:43
    Kent is, of course correct, and there are two of those 21.5¢ wide thirds (from the table given with the CTS5 manual, which is calculated closely enough). They are wide of ET by about 7.5¢, and include A flat-C and D flat-F. 

    If that is an insignificant variation from ET, then the narrowing of five of the thirds by less than that amount is also insignificant. (There is one sole exception, CE, which is narrowed by 10.5¢). The other narrowed thirds are narrow by 6 - 6.5¢ (two of them), by 1.5¢ (B flat-D and A-C#) and by 1¢ (D-F#). 

    Whatever you get in narrowing, you pay for in widening. There are no free cents available :-) 

    Amazingly enough, tiny little differences (mathematically speaking - as in "three decimal points" in some calculation or other) have quite noticeable aural effects. The rather enormous difference between a just third and a Pythagorean one (21.5¢) can be expressed as 81/80 (the syntonic comma, known to all music theoreticians in years back), which calculates to 1.0125. See, just a 1 1/4% difference! 98 3/4% pure! You'll hardly notice it!

    Regards,
    Fred Sturm
    University of New Mexico
    fssturm@unm.edu
    http://fredsturm.net
    www.artoftuning.com
    "Education is not preparation for life; education is life itself." John Dewey






  • 174.  RE: Improving piano tone through tuning and temperament

    Posted 03-26-2019 22:44
    But Fred - that's a second decimal place. A third decimal place is rather smaller.

    As usual you've ignored the substance of what I've been saying.

    The dissatisfaction reported with Vallotti and other UTs is very likely to be as a result of widening these already wide thirds on account of inharmonicity stretches.

    I've given some hints about how to tune these temperaments successfully for universal use and proved the pudding with a corpus of recordings.

    Best wishes

    David P

    --
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    David Pinnegar, B.Sc., A.R.C.S.
    - - - - - - - - - - - - - - - - - - - - - - - -
    +44 1342 850594





  • 175.  RE: Improving piano tone through tuning and temperament

    Registered Piano Technician
    Posted 03-27-2019 09:33
    Yes, 1.0125 is different from 1.0000 in the second decimal place. And the syntonic comma is HUGE sonically. For the F3A3 third, it is the difference between zero and 10 beats per second.

    Your values for third decimal place were about 1/2 of the value I cited, the equivalent of 1.006 to 1.000. And you claimed they were essentially unnoticeable - using the fact that it was "only the third decimal place" as evidence. The point is that your use of numbers was misleading. 

    As was my facetious use of numbers. The syntonic comma is relatively tiny in arithmetic terms, but it is the source of centuries of tuning angst, and literally countless schemes to overcome it and devise "the best possible solution." Frankly, looked at dispassionately, it is an amusing history of generation after generation rediscovering a mathematical problem that was identified millennia ago, and with the naivety of youth, embarking on yet another reinvention.

    I quite understand what you are trying to do. Your sincerity seems genuine. You are writing to an audience consisting almost entirely of professionals, each of whom has vastly more practical experience tuning than you probably ever will. And you think that if only you can get everyone to listen to your wonderful Youtube videos, they will all be converted to your magical method of tuning that transforms pianos and music, and that will usher in a new world. 

    I think perhaps your contribution to tuning has been amply displayed, and needs no further discussion.
    Regards,
    Fred Sturm
    "Travel is fatal to prejudice, bigotry, and narrow-mindedness." Twain






  • 176.  RE: Improving piano tone through tuning and temperament

    Posted 03-27-2019 10:12
    Dear Fred

    From beginning to end your manner and thrust has been bullying and dismissive and being wholly expressive of a genre of establishment that is fearful of change I have to thank you for according to type.

    On https://www.youtube.com/watch?v=oV0bkcSr_Kg you started a campaign of "debunking" and have not let up since. In the course of exchange of comments on that video it was apparent that you self contradicted and you diverted attention from anything relevant. For anyone not having heard that recording before, it was an experiment for the purpose of exploration, not more, and is not the tuning that I would normally adopt or advocate universally, so actually nothing to debunk there, and the instrument having both brass and steel strings is hideously susceptible to temperature change.

    A central plank of your thrust is that Jorgensen was misguided and even dishonest in his alleged adjustment of data to that which he wanted to hear, and that a whole generation have been misled as a result by Jorgensen. I find your attack on Jorgensen wholly disreputable and objectionable in so far as I believe you only started defaming him after he died and was unable to defend himself. Your attack on anyone and everyone else who follows an unequal temperament path is faulty on the basis that all have followed from Jorgensen's alleged misguidance is a hubristic obsession with Jorgensen. Numerous of us have come to conclusions concerning temperament wholly independent of Jorgensen using our ears and researches of our own.

    In my particular case I came to temperament issues as a result of the early volumes of the BIOS journal, thereafter the pink bible written by Padgham in the early 1980s, had not heard of Jorgensen at all, and then a revelation in my knowledge of temperament effects whilst listening to Rose Cholmondeley performing Chopin's 2nd Sonata, the hunch proving correct when I started exploration of alternative tuning.

    In listening to my tunings, however anyone likes to interpret the mathematics or belittle my analysis and interpretation of the mathematics, the wide major thirds are audibly not much wider when critically compared to equal temperament major thirds, and especially when octaves are stretched to the extent of Perfect 5th ET.

    The corpus of a dozen years of work in tuning, performance and documentation in recordings is there on the public record and I have pointed to 20th century recordings of repertoire where the use of the "colour tuning" does not at all detract from the performance. 

    Not once in your numerous criticism and constant negativity have you made any intelligent comment upon the spreadsheet providing the mathematics of harmonic accordance to temperament and it's clear that you've been unable either to apply yourself academically to that or to make any constructive comment.

    As I write in listening to the Beethoven Tempest in Meantone, I hear a performance, not a tuning, but a performance that's grand, that's expressive, that's actually phenomenal by an extraordinary pianist of whom his friend Paul Badua Skoda would have been proud, with a bravery of rendition and experimental exploration that I believe to be admirable. The fact that not once through your now long history of derogatory comments have you ever given credit to some of the exceptional performers who have been exploring and exploiting the tuning research indicates a meanness of spirit common to those often of a jealous disposition indicating a submission to your feeling of no longer being top of their game.

    For that reason I take your constant derogatory stance to the point of trolling as the greatest compliment.

    Best wishes

    David P


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    David Pinnegar, B.Sc., A.R.C.S.
    - - - - - - - - - - - - - - - - - - - - - - - -
    +44 1342 850594





  • 177.  RE: Improving piano tone through tuning and temperament

    Registered Piano Technician
    Posted 03-27-2019 12:17

    Not once in your numerous criticism and constant negativity have you made any intelligent comment upon the spreadsheet providing the mathematics of harmonic accordance to temperament and it's clear that you've been unable either to apply yourself academically to that or to make any constructive comment.
    David Pinnegar,  03-27-2019 10:11
    David,
    This statement of yours puzzles me. In fact, I addressed your spreadsheet at some length, and I would describe what I wrote as constructive. I'll quote a full post below:

    The major problem with something like that spreadsheet is that it is too simplistic. (BTW, one quick and easy way to make it far more apparent what there is to see in the spreadsheet would be to eliminate the 2nd, 4th and 8th partials: they are the same for all cases, so they add nothing to the graphic).
    First, it doesn't take into account inharmonicity, by giving "harmonics" rather than "partials" (Obviously those vary depending on the scale of the instrument, but they represent the reality of the situation).
    Second, it fails to note how intervals "line up," in terms of how the various partials of each interval coincide. It is that coincidence (or lack thereof) that creates the sound you hear when playing an interval.
    Third, it fails to note how more complex relationships of intervals coincide and conflict. It isn't as simple as "the thirds and the fifths." Even if we limit ourselves to triads, various inversions and spreads of notes have distinctly different flavors, caused by varying coincidences and conflicts. 
    A closed position second inversion is a simple case in point (let's say G C E), where the major sixth from the bottom note (GE) and the major third from the second from the bottom note (CE) have beat rates that are quite close (in ET) and blend nicely to create a composite beat. However, they are at different partial levels. GE beats at B (3rd partial of E), while CE beats at E (4th partial of E). It is interesting to note that the B is forming a semitone with the 4th partial of C. This is a partial view of what is going on with one example of a close triad, and the complexity quickly multiplies even with the most simple minded actual music. 
    Fourth, and probably most important, is the sound of the instrument with the pedal down. The characteristic sound of the piano is inextricably tied to the sympathetic vibrations of all the strings when you depress the pedal in many different ways. That is completely ignored in any analysis of this sort, and is where a system like that developed in entropy-tuner http://piano-tuner.org/entropy is far more indicative of the actual picture. 
    Bottom line, you have to be thinking of a far bigger picture to come up with anything meaningful in the realm of the subject line of this thread.

    [And another full post]:

    If you fixate on the 3/2 relationship of the 5th and the 5/4 relationship of the third, you are missing a tremendous amount of the total picture of the resonance of the piano. The total sound of the piano, the sound that is particularly characteristic to the piano as opposed to almost any other instrument, is the one you hear with the pedal depressed, dampers up. It is then that the sympathetic vibrations of all the other strings come into play.
    Any analysis that only analyzes individual intervals and one or two of their partial coincidences is not really useful in predicting the effect of a tuning on the instrument's tone. 
    "Sweeter" and "less sweet" thirds occur in ET as much as in any UET. It simply depends where in the range you are playing the third. As for whether a third beating at 3 bps is actually perceived as "sweeter" than one beating a 15 bps, that is partly a matter of taste, partly a matter of context. 
    Until you get to the just third, with no beats, you are dealing with an interval that is "out of tune." But in another sense, a beating third (or other interval) is simply one with a built in vibrato, and a noticeable vibrato may be far more desirable than the clean but dull sound of the just interval. 
    Amazingly enough, there are multiple ways of looking at the issues surrounding tuning :-)
    I think it is well to bear in mind this quote from Mattheson on the subject, to keep things in perspective: "One must take refuge in temperament when tuning claviers and harps.  Many books make as much to do of this as if the welfare of the entire world depended on a single clavier."
    Most musicians are far more interested in getting on with the business of playing music to be overly concerned with the finicky details of tuning we obsess about. Musicians (and listeners) for whom our level of detail is important or even noticeable is relatively small.


    ------------------------------
    Fred Sturm
    University of New Mexico
    fssturm@unm.edu
    http://fredsturm.net
    http://www.artoftuning.com
    "We either make ourselves happy or miserable. The amount of work is the same." - Carlos Casteneda
    ------------------------------



  • 178.  RE: Improving piano tone through tuning and temperament

    Registered Piano Technician
    Posted 03-28-2019 14:55
    Getting in late but an interesting and hostile discussion, as usual. 

    FWIW I've never felt compelled, esthetically, to alter stretch when using unequal temperaments. I think the ear adapts to expectations at the more extreme ends of the piano when the thirds (and sixths) vary. I continue to use a quasi P12 style equal or unequal

    That being said, the last time I tuned an unequal temperament (Kellner, I think), I did feel compelled to try and transpose the Schubert Gb Major Impromptu to G. Quite a good exercise.

    ------------------------------
    David Love RPT
    www.davidlovepianos.com
    davidlovepianos@comcast.net
    415 407 8320
    ------------------------------



  • 179.  RE: Improving piano tone through tuning and temperament

    Registered Piano Technician
    Posted 03-27-2019 10:27
    The difference between a 13 gauge wire and a 17 gauge wire is in the third decimal place. I can see the difference between 17 and 13 gauge wire with my eye. 

    The third decimal place is where we make or break friction in our action centers. I can feel the difference between a number 52 and number 53 burnisher in the same action center. 

    Why are we insisting that the third decimal place doesn't matter to our ears which is much more sensitive than our eyes and our sense of touch?

    ------------------------------
    Daniel DeBiasio
    Brooklyn, NY
    646.801.8863
    ------------------------------



  • 180.  RE: Improving piano tone through tuning and temperament

    Posted 03-27-2019 11:13
    Dear Daniel

    Yes - I understand where you're coming from but actually when you tune the temperament as I do the difference between out of tune thirds in equal temperament and out of tune thirds in a Kellner temperament without or without much stretch is not a lot. Both are out of tune. Out of tune is out of tune and arguing only about a smidgeon of how much out of tune is irrelevant. Equal temperament is out of tune and a good unequal temperament gives many intervals much more in tune with a payback of out of tune intervals being only so minimally more out of tune than the out of tune equal temperament that for many musicians they don't even hear a difference.

    The audible difference is in the contrast between the pure or purer thirds and then coming across a third that's an equal temperament third. This comes in a contrast between say C major and E major, the D major being historically attributable to a degree of excitement and E major moreso. Likewise E flat major, and in comparison there are musicians who then like the crunch of C# major, F# Major and B major.

    It all comes down to how well you like your toast. Untoasted bread, equally untoasted is ever so bland and many find that an egg filling isn't tasty enough. Toast equally uncooked soft can be rather dull as well, and thereafter it's how crunchy you like it. The point of what I've been doing has been to demonstrate that whilst 1/4 comma meantone might be as burnt toast to some, Kellner is far from burnt. Whether you like Vallotti, Kellner, Kirnberger III, Werkmeister III or crunchier is a matter of taste but when you go too far the toast is burnt.

    People's experience of Vallotti or Kellner as burnt toast may well be attributable to octave stretching and in the one example of a tuning I didn't like that was certainly the case. By contrast the Kirnberger III tunings I've done without stretch produce tenor C# to F of the same strength as Kellner with a bit of stretch.

    So these tunings can be used, if handled in the way I've suggested, as a valid universal alternative to ET and provide a re-harmonisation of piano sound that brings forward the music beneficially.

    Best wishes

    David P


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    David Pinnegar, B.Sc., A.R.C.S.
    - - - - - - - - - - - - - - - - - - - - - - - -
    +44 1342 850594





  • 181.  RE: Improving piano tone through tuning and temperament

    Registered Piano Technician
    Posted 03-27-2019 11:56
    "arguing only about a smidgeon of how much out of tune is irrelevant."  This is dangerous ground. Piano tuners always worry about defining a "smidgeon." 

    I appreciate your civility throughout this discussion. But I have to take exception to your trivializing of the complex math that is an inherent part of piano inharmonicity. You seem to be battling the temperament wars of the 19th century. Pianos just don't inhabit that battlefield. Your proofs seem naive and based on your own work. That's arguable and that's why you're getting push back. That's also reason for you to perhaps rethink your work and do more research yourself. Favoring a certain sound, a personal preference, if you will, does not make it either universal or "right." I have to reiterate that I find modern piano tuning results plenty exciting for the technician and the musician. I can appreciate UT as well. As I've stated earlier, my belief is that every piano tuning is unequal because truly equal temperament is so elusive. That's why I never have found aural tuning to be boring or bland. I appreciate the difficulties involved with equal temperament in pianos, not only conceptually, and mathematically, but in actual practice because of the uniqueness of each individual piano.

    Richard





  • 182.  RE: Improving piano tone through tuning and temperament

    Registered Piano Technician
    Posted 03-27-2019 14:18
    “People's experience of Vallotti or Kellner as burnt toast may well be attributable to octave stretching and in the one example of a tuning I didn't like that was certainly the case.”

    I agree with this and it is a very good point. Historical tunings use the pure octave, as far as I know. Assuming that you mean octaves must not be “widened” more than that which is necessary to correct for inharmonicity, octaves in historical temperaments should be as clean and pure as possible, because stretching the octaves will widen all of the M3rds as one tunes up the scale and some of those M3rds may already be at the “breaking point” in the temperament octave.

    Sent from my iPhone




  • 183.  RE: Improving piano tone through tuning and temperament

    Posted 03-27-2019 14:39
    Dear Kent

    Yes. Spot on. This is precisely the point, and the key to the achievement of a successful tuning. And it's possible.

    The reason why I started to be enthusiastic in this forum is discovering that it was possible. It took me a long time to get reliable results. I could see the target but couldn't work out why I was missing it, and for that reason couldn't universally encourage others. Putting it in terms of the M3 being already at breaking point is exactly on track.

    This is why despite using an electronic device I check the 7 perfect fifths for their purity and in the tenor section the C#to F and tenor C# to treble F before then going further. On another thread someone very kindly advised someone to check out the Easy Piano Tuner app on Android and the review comments for that software are rather interesting. Someone mentioned difficulty achieving a nice tuning in the Tenor with TuneLab and found the Easy Piano Tuner app rather better in that region - and no doubt this will have been on account of complications of stretching and which harmonics one chooses to accord with what.

    Incidentally the wbepage instructions for that software make no mention of historical temperaments so I was in touch with the author Anthony Willey. He expressed surprise and then remembered that the options for other temperaments are in the beta version of the software with a link apparently further down the Google Play page.

    Down in the bass I've found it useful also to tune not only with the octaves but also testing the perfect fifths down the bottom too. Exactly how one approaches the tuning does vary from instrument to instrument so much, and perhaps tuning as if it were a quasi harpsichord helps. And in that my experience from the 1802 Stodart and the 1819 Broadwood has been an influence and a privilege not perhaps available to all. Were the Stodart to have harpsichord jacks instead of a piano action, it would be a competent clavecin indeed. So for me this instrument is from where tuning and composers developed in the 19th century and part of my methodology has been looking at how to bring the piano back to this. Even the 1859 Hallé Broadwood isn't harmonically greatly different, and nor an 1863 Pleyel which I had the privilege to inspect in the museum in Nice recently.

    If perhaps I come through with a questionable certainty, it's partly in familiarity with such a series of early instruments which are ordinary to me rather than as special as they might be to others, and therefore a focus on sounds and accordances known to me with the familiarity of what seems like common sense. But these instruments are far away from our experience of modern instruments. But by the tuning we can reach back to them with the modern instruments and in this musicians sense delight, perhaps a freedom of boredom from stagnation.

    Best wishes

    David P

    --
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    David Pinnegar, B.Sc., A.R.C.S.
    - - - - - - - - - - - - - - - - - - - - - - - -
    +44 1342 850594





  • 184.  RE: Improving piano tone through tuning and temperament

    Registered Piano Technician
    Posted 03-27-2019 14:55
    “On another thread someone very kindly advised someone to check out the Easy Piano Tuner app on Android and the review comments for that software are rather interesting.”

    I have looked at Easy Piano Tuner, but found no compelling reason to fully pursue it.

    Verituner will do what you seek. It has very good support for non-equal temperaments _and_ my Verituner pure octave tuning style, available from my Dropbox site, serves as a very good starting point for the Verituner historical temperaments.

    Sent from my iPhone




  • 185.  RE: Improving piano tone through tuning and temperament

    Registered Piano Technician
    Posted 03-27-2019 18:29
    Kent,
    I'm not so sure I would agree with this. It may be that narrowing octaves does make historical temperaments sound more like they would on less inharmonic instruments like the harpsichord (and early piano, for that matter, with thinner strings), but I'm not sure how significant that difference is, since those earlier instruments typically have 4 - 5.5 octave ranges, and modern pianos are typically less inharmonic in that range (setting aside extreme tenor breaks).

    The thing is, this focuses the tuning on the tuning, rather than on the instrument and the ear. The instrument demands more stretch, and the ear demands even more. When we get to the outer ranges, the ear wants to hear higher and lower than the inharmonicity would ask for, even with triple octaves beatless. And if you place those outer ranges where they need to be "musically/psychologically," that will create conflict with center ranges that have not been stretched in preparation for the outer ranges. 

    For demo/historical purposes, this might be a good idea. For actual concert situations (or even someone playing relatively modern repertoire that ranges beyond 6 octaves on a private piano), not such a good idea. It will make the piano sound bad.

    ------------------------------
    Fred Sturm
    University of New Mexico
    fssturm@unm.edu
    http://fredsturm.net
    http://www.artoftuning.com
    "We either make ourselves happy or miserable. The amount of work is the same." - Carlos Casteneda
    ------------------------------



  • 186.  RE: Improving piano tone through tuning and temperament

    Registered Piano Technician
    Posted 03-27-2019 19:15
    “For demo/historical purposes, this might be a good idea. For actual concert situations (or even someone playing relatively modern repertoire that ranges beyond 6 octaves on a private piano), not such a good idea. It will make the piano sound bad.”

    No big disagreement. Following the inharmonicity without additional stretch up the partial series and up the scale does push the tuning into the familiar Railsback shape (assuming ET) even if less pronounced than usual. Pure octave is a good thing to have in one’s bag of tricks especially for, as you say, demonstration purposes of, say, the stronger non-equal temperaments. But applying the 12 note offsets to a stretched tuning as is the standard practice of many etd’s, is at least theoretically problematic, something of which techs should be aware.

    Sent from my iPhone




  • 187.  RE: Improving piano tone through tuning and temperament

    Registered Piano Technician
    Posted 03-27-2019 23:25
    <<...applying the 12 note offsets to a stretched tuning as is the standard practice of many etd's, is at least theoretically problematic, something of which techs should be aware.>>  I've been trying to tell people that for 30 years!  It does not work.  It may get you somewhere close but then you have to know what to do with it in order to really have a piano that sounds in tune with itself.

    ------------------------------
    William Bremmer
    RPT
    Madison WI
    608-238-8400
    ------------------------------



  • 188.  RE: Improving piano tone through tuning and temperament

    Registered Piano Technician
    Posted 03-27-2019 10:59
    David, your increasing use of bluster instead of discussion of the actual details of tuning exposes, in my opinion, the weaknesses of your work.

    "The dissatisfaction reported with Vallotti and other UTs is very likely to be as a result of widening these already wide thirds on account of inharmonicity stretches."

    That is not how inharmonicity works. Widened thirds are necessary in unequal temperaments even in the absence of inharmonicity.

    "I've given some hints about how to tune these temperaments successfully for universal use and proved the pudding with a corpus of recordings."

    Repeating your claims over and over do not make them true.

    I'll repeat my invitation to seek common ground through the use of the controlled conditions provided by the Pianoteq software. (You brought up Pianoteq, not I.) Provide files loadable into Pianoteq demonstrating proper tuning of Kellner, for example, and demonstrate your claim that Kellner M3rds when properly tuned will be "only very little more than the width of the ET major third".







  • 189.  RE: Improving piano tone through tuning and temperament

    Posted 03-27-2019 12:44
    I have provided details of tuning sufficient as pointers to others with which to experiment. 

    The spreadsheet with which I started this thread and then its modified version provides a basis for analysis of temperaments and the extent to which harmonics and scale notes coincide, coincide moderately well, coincide annoyingly or not at all, with the correlated extent of resonance. 

    That spreadsheet provides a basis from which others with a greater knowledge of inharmonicity stretch can explore further.

    We've received in this thread reports that Vallotti has been considered too extreme. I've explained that on some instruments on which I've worked with Tunelab calculating a relevant stretch for the instrument that the worst thirds have been stretched too much, and have provided the guidance that minimising stretch cures the problem. In saying this I'm not at all trivialising the mathematics and indeed, by publishing a version of the spreadsheet which gave the results for the stretched P5ET temperament, I'm at least halfway there. 

    Perhaps instead of trivialising the foundations of research that I've laid out in that document and belittling the results of a dozen years' experiential learning curve others with particularly focussed experience of those harmonics which generally go sharp and those which generally go flat and by how much, might apply such corrections to the spreadsheet given.

    This isn't a matter of temperament wars but providing a substrate of experience and research from which others can move the subject forward.

    The general consensus expressed seems one of a negativity - "why bother? - prove it" rather than in any way bringing forward anyone with positive desires to explore. The general consensus appears to be "Equal Temperament is good enough so why do we need to contemplate anything else?" 

    The instrument, and the state of appreciation of classical music in the UK at least, is stuck in a rut. It's a rut of experience of concerts merely as a matter of entertainment rather than of the classical literature of emotional communication which is an essential part of humanity. For those who want to be stuck in a rut, I cannot help, but I can show that there is a route out of the rut and that it's worth trying.

    As such, getting tuning and musicianship and musical appreciation out of a rut is not an activity in which I believe a "push back" has any function, other than those who want to stay in the rut.

    Pianoteq is a good research tool and switching between instruments and temperaments in real time during the course of good playing can be very instructive. But it is a simulation rather than the real thing, an indication of perhaps what to expect when we come to a real instrument, but it's not quite the real instrument. When tuning I tend to hear much more presence of the 5th harmonic in the acoustic instruments that I tune than immediately strikes me coming forward from the simulation, and that harmonic is crucial to the reaction to the ET or the UT tuned scale. Furthermore, the mathematically algorithmically simulated instrument might and is in the case of Pianoteq fantastically achieved but it's bound to be differently nuanced from an instrument on which we nudge and adjust the harmonic relationship to other strings and scale notes individually. Whilst I believe that this can be done on Pianoteq to date I've found it easier to use a tuning hammer on each string of a particular instrument. The software provides the directions in which to look in simulation but not necessarily the completely whole picture that we hear with our hand on the tuning hammer.

    Fred - thanks for your posts on the spreadsheet - I believe that I did answer the second but hadn't seen the first as the digest of posts on email seems to give opportunity to miss out seeing some responses. Your thoughts on triads are very relevant and it's those which for instance the Alastair Laurence Eureka Handel tuning focusses upon, as also Kellner who looked at the requirement of the C major third to beat simultaneously with the Cmajor fifth. However, those spreadsheets are there as a foundation for more sophisticated modification, and perhaps I might be excused for the interpretation of some of the manner of your responses about which I have yet to be fully unpersuaded. Perhaps also others of a vintage belonging to FORTRAN rather than the sophistications of Excel might sympathise with my attempt at getting anything out of the new analytical technology at all and of which I make no representations as to its mastery.

    Some here have that mastery and their talents could be a major advance in the subject matter of this thread.

    Best wishes

    David Pinnegar

     
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    David Pinnegar, B.Sc., A.R.C.S.
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    +44 1342 850594





  • 190.  RE: Improving piano tone through tuning and temperament

    Posted 03-28-2019 14:46
    Also a commonplace  piano can be made more interesting by tuning it in Well-Temperament.

    ------------------------------
    Frank French, RPT
    Piano Technician
    Tuners Art
    frank@tunersart.com
    415-731-8611
    San Francisco, CA 94122
    ------------------------------



  • 191.  RE: Improving piano tone through tuning and temperament

    Posted 03-28-2019 15:48
    For about the past month I have been tuning UT (mainly Vallotti) on my personal pianos, and for several clients, one who is a highly accomplished early jazz musician, who also plays a good amount of 19th century music. I actually proposed the UT as an experiment to one client so that one person in the house would know, and the other (prinicipal musician) would be unaware.  The agreement was that if the musician didn't like something about the tuning I would agree to put the piano back into ET at no charge. This particular client when asked just said the piano sounded great, but not any better than it normally did. In other words he didn't notice. Another client had a similar experience.  I wouldn't characterize either of them as very "sensitive" or accomplished musicians.  However, my friend mentioned above, immediately noticed and went straight to comparing the clean and rough thirds. He also said that his most sensitive students who play from the heart have been noticing it too, and one of them in particular strongly prefers the sound over his other piano which is in equal temperament. The opinion of my friend is that he likes UT and is still exploring it at this time.  One thing I know is that even Vallotti to us is extremely obvious, especially when two instruments in the same room can be compared. I just can't understand how any piano tuner would say that it doesn't make a difference and that no one can tell....For me personally it has a profound effect on the feeling of the music, and increases my ability and desire to invent convincing improvisations. UT adds a noticeable variation to the sterilized and homogenized sound that has unfortunately become a defining characteristic of the piano today....(one part of which is dogmatic use of ET). This last point is somewhat off topic, but this lack of tonal variation in the acoustic piano is one important reason why it is having more trouble competing with electronic keyboards.  Some people are losing interest in heavy, shiny, black, loud, powerful, sterilized, piano shaped objects. Overall, I think it is going to take a lot more than temperament to revitalize the acoustic piano in an increasingly sophisticated digital world.  Also I have noticed that UT seems to sound best and is easiest to tune with good results on antique instruments....which is likely because of their lower inharmonicity and other constructions principles beyond the scope of this discussion.

    ------------------------------
    Jason Leininger
    Pittsburgh PA
    412-874-6992
    ------------------------------



  • 192.  RE: Improving piano tone through tuning and temperament

    Registered Piano Technician
    Posted 03-28-2019 16:14
    My view is that if you've been eating the same thing for long enough, eventuallly you start adding spices to make it more interesting even if it isn't, ultimately, more palatable.

    ------------------------------
    David Love RPT
    www.davidlovepianos.com
    davidlovepianos@comcast.net
    415 407 8320
    ------------------------------



  • 193.  RE: Improving piano tone through tuning and temperament

    Registered Piano Technician
    Posted 03-28-2019 16:33
    What is going on with this thread? Did everyone here skip lunch or something?

    ------------------------------
    Daniel DeBiasio
    Brooklyn, NY
    646.801.8863
    ------------------------------



  • 194.  RE: Improving piano tone through tuning and temperament

    Registered Piano Technician
    Posted 03-29-2019 09:28
    Small pianos (spinets and consoles) are undernourished if we feed them ET. They can't digest it. Feed it a well balanced WT for lunch and it will feel and respond much better. 

    Pwg

    😊

    ------------------------------
    Peter Grey
    Stratham NH
    603-686-2395
    pianodoctor57@gmail.com
    ------------------------------



  • 195.  RE: Improving piano tone through tuning and temperament

    Posted 09-19-2019 10:52
      |   view attached
    Local to me in South East England is the Burnett Collection of historic instruments, formerly at Finchcocks, and of course we compare notes and discuss ideas.

    The leading technician who helps with the collection there very kindly sent me the extract attached from page 133 of Samuel Wolfenden's treatise The Art of Pianoforte Construction, published in 1916. He says "I think it is a key piece of evidence for the use of unequal or, more interestingly, presumably meantone-derived temperaments until circa the second half of the 19th century. Wolfenden's treatise offers many interesting insights and I wonder if it is a somewhat under-appreciated work." 

    The extract puts a very different complexion on the assumption and assertion that Montal brought an earth-shattering change to pianos in the 1830s, and from this it must be concluded that the shift was nearer to the 1870s or 1880s as I've deduced from changes I've experienced in the harmonic structure between the earlier and later instruments. And if it was a temperament with a wolf, then those tuners may well have adopted some form of unequal with varying key colours even diluted, in the sense of being able to play in all keys.

    Best wishes

    David P


    ------------------------------
    David Pinnegar BSc ARCS
    Curator and House Tuner - Hammerwood Park, East Grinstead, Sussex UK
    antespam@gmail.com

    Seminar 6th May 2019 - http://hammerwood.mistral.co.uk/tuning-seminar.pdf "The Importance of Tuning for Better Performance"
    ------------------------------



  • 196.  RE: Improving piano tone through tuning and temperament

    Posted 04-16-2020 07:45
    I didn't see Peter's response on this about feeding pianos with WT that had indigestion on ET. In view of many people's thoughts about growing food seeing his comment came to life this morning.

    A friend for whom I tune has a Steinway C on which he's done a nice YT recording today. He's not a recording engineer and the sound is quite quiet but it's interesting. He's rather delighted that after 9 months or so the tuning hasn't deteriorated too much.
    https://www.youtube.com/watch?v=en5yBDpMbnU

    I think there's a detectable character change in the change of key between the two pieces and the sound of the instrument is to me warm, which I wonder if is enhanced by the resonance of my tuning system . . . ?

    Best wishes

    David P

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    David Pinnegar BSc ARCS
    Hammerwood Park, East Grinstead, Sussex, UK
    +44 1342 850594
    "High Definition" Tuning
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  • 197.  RE: Improving piano tone through tuning and temperament

    Posted 04-16-2020 09:01
    David, one of the ways in which the popularity of the Unequal Temperament Tuning System can be increased is by converting the traditional versions of Unequal Temperament into modified versions of Pure 12th Equal Temperament.

    The traditional versions of Unequal Temperament tend to have Fifths and Twelfths that are too narrow. This can be rectified by converting them into modified versions of Pure 12th Equal Temperament. I have successfully converted the traditional version of Thomas Young's First Temperament already:



    I can convert Herbert Kellner's Temperament for you.

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    Roshan Kakiya
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  • 198.  RE: Improving piano tone through tuning and temperament

    Posted 04-16-2020 09:59
    Interesting. What I do in my adaptation of Kellner does focus on the 3rd harmonic, so perfect 12ths, but in the middle of the instrument the exact 3:2 unbeating relationships of so many perfect 5ths is very helpful. On the one hand one can be very pedantic and fixed about this but on the other the recording sent to me on YouTube this morning on a piano not tuned for 9 months demonstrates that wide latitude is acceptable, and the differences between straight Kellner and what you call a P12 converted Kellner might not actually make much difference in practice.

    To be perfectly honest, the recording today wouldn't to me sound any different perhaps to what I might expect from ET, until the shift of key in the second piece. And now if I don't hear such shifts with ET engaged, the sound is very boring for me. The resonance of the instrument is another matter but what the effect of a P12 conversion might make will depend on the adjustment of individual frequencies away from harmonics, and inharmonics. This goes to a mathematically intangible problem to which the best solution is found in the analogue computational facility offered by each different piano rather than any hard and fast digital computation. The inharmonicities encountered on each instrument are different and intangible as a general rule.

    I discovered this to my reputational cost when recently tuning a Steinway C in a hurry with iron wound rather than copper wound bass strings. I would normally have tuned the bass perfectly by ear but in the UK we have had terrible disruptions, with flooding, landslides and railways closed and disrupted. Having to be in central London in the afternoon I was in a rush and could do no more than tune the bass formulaically to my usual method, which with copper wound strings and normal scaling works a treat. But the different inharmonicity of the bass strings threw me and the bass tuning wasn't pleasant at all. No one formula or system is a magic pill for all.

    With 7 perfect fifths, theoretically 7/12ths of the instrument will be in a P12 relationship so I really don't understand how the remaining 5/12ths can be said to be or modified to be a perfect 12th scheme.

    Best wishes

    David P

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    David Pinnegar, B.Sc., A.R.C.S.
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    +44 1342 850594





  • 199.  RE: Improving piano tone through tuning and temperament

    Posted 04-16-2020 11:21
    "With 7 perfect fifths, theoretically 7/12ths of the instrument will be in a P12 relationship so I really don't understand how the remaining 5/12ths can be said to be or modified to be a perfect 12th scheme."

    The main purpose of using P12 converted Kellner is that the 5 Fifths and the 5 Twelfths that are rather tempered in the traditional version of Kellner will become less tempered and closer to purity in the P12 converted Kellner. The relationship between the Fifth, the Octave and the Twelfth will become more balanced in P12 converted Kellner.

    I can demonstrate this in cents.


    Traditional Kellner:

    Fifth narrowed by 1/5 Pythagorean Comma = 701.96 cents − 1/5 × 23.46 cents = 701.96 cents − 4.69 cents = 697.27 cents.

    Pure Octave = 1200.00 cents.

    Twelfth = Fifth + Octave = 697.27 cents + 1200.00 cents = 1897.27 cents.


    P12 converted Kellner:

    P12fraction = 12/19 × 1/5 = 12/95.

    Fifth narrowed by 12/95 Pythagorean Comma = 701.96 cents − 12/95 × 23.46 cents = 701.96 cents − 2.96 cents = 699.00 cents.

    Octave widened by 1/19 Pythagorean Comma = 1200.00 cents + 1/19 × 23.46 cents = 1200.00 cents + 1.23 cents = 1201.23 cents.

    Twelfth = Fifth + Octave = 699.00 cents + 1201.23 cents = 1900.23 cents.


    It is evident that the relationship between the Fifth, the Octave and the Twelfth is much more balanced in P12 converted Kellner.

    The Fifth in P12 converted Kellner is very close to the Fifth in Pure Octave Equal Temperament (700.00 cents) and the Twelfth in P12 converted Kellner is very close to the Twelfth in Pure Octave Equal Temperament (1900.00 cents).

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    Roshan Kakiya
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  • 200.  RE: Improving piano tone through tuning and temperament

    Posted 03-29-2019 11:34
    It's so wonderful to hear the footsteps of others coming to walk with me rather than merely offering to walk me home.

    Whilst searching for videos yesterday there was one that I noticed which was interesting - not a concert demonstrating wonderful playing, sadly - a performer who was good perhaps 30 years ago but that aside - on  https://www.youtube.com/watch?v=zNFRTrO8XA4  the comment 
    "I dont hear the difference in the temperament"
    and that's really encouraging as it demonstrates the extent to which we can go towards 6 or as here 7 perfect fifths without burning the toast.

    When one's burnt the toast however, and wants to cry https://www.youtube.com/watch?v=rzrIWR3s84Q is the amelioration and the comments there and on https://www.youtube.com/watch?v=mU2r2X4-dpc https://www.youtube.com/watch?v=FFErBGuB26o .

    I post these as the way in which it can translate onto the piano is interesting. A bell tuner from the former Whitechapel Bell Foundry also tunes harpsichords and pianos and told me that he tunes pianos in Meantone. I told him as others might tell me, that he must be mad, and he looked at me with a wisdom. Left me wondering. Certainly not something I'd recommend universally, but capable of being really interesting when we do. https://www.youtube.com/watch?v=kh485E_NZeQ This performer is Jong-Gyung Park who will be coming to the 6th May seminar at Hammerwood together with Adolfo Barabino who played the Tempest on the 1802 Stodart in Meantone.

    If there are any technicians in Europe who might be committed to bringing WT to european instruments I have been invited to quote to a Mairie in France for maintaining the town's instruments and I'd really like to call in friends locally to do things as I don't want to be greatly committed to regular airflights.

    David and Jason seem to be picking up also on the sentiment that people are looking for something new and the indications I've had are that there's good business for the technicians willing to do so.

    Jason relates people not noticing, like my YouTube viewer, and one preferring standard equal temperament. Of course this may well be a matter of conditioning but the important thing is that it's getting musicians talking. That's what enthusiasm in music needs . . . 

    Best wishes

    David P


     

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    David Pinnegar, B.Sc., A.R.C.S.
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    +44 1342 850594