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Building a Temperament

  • 1.  Building a Temperament

    Registered Piano Technician
    Posted 05-25-2017 22:14
    Hello all,

    I am trying to improve my aural skills, and thought it might be helpful to build my own temperament sequence. How would I go about doing that? Thanks

    ------------------------------
    Benjamin Sanchez
    Professional Piano Services
    (805)315-8050
    www.professional-piano-services.com
    BenPianoPro@comcast.net
    ------------------------------


  • 2.  RE: Building a Temperament

    Posted 05-26-2017 04:34
    Hello Benjamin - If you haven't got this book I suggest you get it: Arthur Reblitz 'Piano Servicing, Tuning, & Rebuilding. from The Vestal Press, NY. 13850 USA. Having acquired it, open it at p.38 (How are Pitches Organized in the Musical Scale?)  and study it. Or get a copy or Mario Igrec's book 'Pianos Inside Out' (2013) Published by In Tune Press, LLC., PO Box 2653 Manderville, LA 70470-2653. USA Even better - create a Document in Excel which shows ALL the frequencies both Fundamental and up to 6th. Harmonic (Partial) then look at the numbers and compare them to see why you hear beats when two notes are played together. Hint: from your new Frequency Table, compare, say, the 6th Harmonic of C3 with the 4th. Harmonic of G3. Having understood this principle things begin to get exciting . . . . .   What you are hearing here is the result of applying the Formula of the '12th. root of 2' (1.059463094) to each subsequent semi-tone to build up a Table of Frequencies. 
    Hope this helps!     Michael    UK





  • 3.  RE: Building a Temperament

    Registered Piano Technician
    Posted 05-26-2017 10:05
    Benjamin,

    1) What is your present experience? 
    2) How would you characterize your strengths and weaknesses surely?

    Pwg

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



  • 4.  RE: Building a Temperament

    Registered Piano Technician
    Posted 05-26-2017 19:13
    Peter,
    Experience: ETD user, specifically SAT. In business for the last year, one year training prior, strictly by ear during that time, so I know the basics of aural tuning, and am trying to learn the fine points now. 

    Really the only strengths I can positively identify are: I can hear the roll in a fifth well, and can tell when two beat rates are equal. 

    Im trying to build a temperament around these strengths, but am not sure exactly how to go about doing that. Any ideas?

    ------------------------------
    Benjamin Sanchez
    Professional Piano Services
    (805)315-8050
    www.professional-piano-services.com
    BenPianoPro@comcast.net
    ------------------------------



  • 5.  RE: Building a Temperament

    Member
    Posted 05-26-2017 20:31

    On Pitch: The Integration and Equation of Aural and Electronic Tuning Techniques (Paperback)
    ​ by Rick Baldassin​



    | || ||| || ||| || ||| || ||| || ||| || ||| || |||
    jason's cell 425 830 1561

    On Fri, May 26, 2017 at 4:12 PM, Benjamin Sanchez via Piano Technicians Guild






  • 6.  RE: Building a Temperament

    Registered Piano Technician
    Posted 05-26-2017 21:25

    Hi, Benjamin

    Any number of different temperament sequences can work, but it makes sense to find a good one and stick with it.

    The one Ted Sambell taught us in school has served me very well through almost 40 years. It was only much later at a convention that I found out it is called "both ends from the middle". Essentially it is four first inversion triads, going up by semitones.

    Set A3 from the fork, using the F below it. (F beating to the A4 fork, compared with F beating to the A in the piano.) Then when the A is right, set the F to a guessed (remembered) beat rate.

    Then I do the one new thing I've added to the original system: I tune F4 from F3, then I add C#4. This gives a series of major thirds stacked on each other: F-A, A-C#, Db-F. The beat rates of these progress roughly four to five. (i.e., each is 20% faster than the one before.)  Different pianos will require slightly different speeds, but the thing is to make the increase uniform. Setting up these major thirds assures that the guessed at F-A beat rate will work right. The F-A can be altered a little if needed to get a uniform progression.

    So, once the bracketed thirds are done, you've already got four notes right. Moving on to the first inversion triads:

    You already have F and A ... next you add D4, a just slightly wide fourth. You test F-A, and then F-D. The F-D should be just slightly faster than the F-A.

    First triad finished: you next set Bb (A#, really) from F, slightly wide. You set F# next, so that the beat rate is just a tad faster than the F-A. You add the D#, so the F#-D# is just slightly faster than the F#-A#, just like in the first triad.

    To start the third triad, you set the B from the F#, just slightly wide, like the F-Bb was. Continuing, you set the G from the B, so that the beat rates F-A, then F#-A#, then G-B slowly progress faster. You add the E, just like you added the D# -- the sixth from G to E is slightly faster than the third from G to B.

    For the fourth and last triad, you set the C natural from the G, a slightly wide fourth like the others. Then you set the Ab from the C, so that the beat is just slightly faster than the G-B. You can run thirds from the bottom: F-A, F#-A#, G-B, Ab-C, and they should all fit in nicely, and the A-C# which would be next in line should already be right. You don't need to set F4 to complete the last triad (Ab-C-F), because you've already tuned it. You just see if it fits in right. Then you check from Ab (G#) to C#, having already set the C#, and see if the fourth is slightly wide, like the others.

    At this point, being done, I run major 3rds (which progress) perfect fifths and perfect fourths (are they uniform, 4ths slightly less quiet than fifths?), and major sixths (which progress) to see if they all are happy. The fifths should be only slightly narrow, and the fourths, wide, of course, just a bit faster than the fifths. You can listen carefully to the perfect fifths to see if any do not sound just like the others. If anything doesn't seem to fit, you tinker with it.

    There are other tests you can use as you go, but this is the gist.

    It is probably a lot easier to see how this works by watching someone doing it ... and of course the process gets a lot faster and easier with practice.

    Just fill yourself with confidence beforehand, and approach it as a voyage of discovery, and you'll do fine. Instead of fretting about official beat rate numbers (how do I find out how fast 8 beats is from a stopwatch??), try dividing the F to F octave into the progressing major thirds, and that will tell you the approximate rate to remember for F-A. The fourths and fifths one judges more as a curl in the tone, fourths a little less happy than the fifths, and little spinets require a little bit different size and brashness than concert grands. Each piano will tell you what it needs and can do.

    Ah, you said you've already spent a year aural tuning, and you want the fine points ... okay.

    First, at the risk of starting a fracas, study aural tuning by tuning aurally, and don't check your work with an ETD. You want as much contact with the sounds and the interval sizes as you can get. A sense of what makes a musical octave stretch develops over time by listening to music, and making music. Hopefully you already have it, and just need to polish it by use. Twenty two years of playing cello, and two music degrees in applied cello (useless degrees except for this!) and five years of orchestra work did help, but there are many other perfectly satisfactory roads to hearing how wide an octave wants to be.

    Work on non-ETD ways of responding to intervals --- is this a sweet octave? What is the texture of these unisons? (I like creamy or buttery.) What are the vowel sounds of unisons? You want open vowels -- ahhs, or ohhhs, not curling eeeyews. As you stretch the initial F to F octave, listen for how the fifths clear up. If they are beatless, the octave will beat audibly, and the upper register will sound harsh. Some jazz people might like this, but generally, one wants clean octaves, fifths, and fourths, in that order. Notice that small changes in third or sixth rates will not be audible in the music, since they are all pretty fast already -- but the character of fifths and fourths and octaves will be extremely critical to the musical effect of the tuning. If you pull the octave out the right amount so that the fifths are a little calmer, and then you tune right to the top checking fourths and fifths below each note to be sure they are acceptable, you will end up with a crystal clear tuning. Test open chords -- C-G-C, C-F-C, etc. They should be -- beautiful, all over the piano.

    Unisons should be warm and very quiet, and of course very stable. Different styles of unisons will yield very different musical results. They do have an emotional component, which you will hear if you listen for it. If you get a reasonably good temperament, good octave stretch, and excellent clarity in the fourths and fifths, and then listen to a good pianist playing, you will hear what just seems like good architecture. One could imagine a cathedral, and how all the weight is conveyed down through the structure.

    One other fine point, just from my own observations: in the middle register, if you play harmonic intervals (like an octave playing both notes at once) and then melodic intervals (the two notes one after another) both will sound in tune. But as you get into the upper register, if the harmonic interval sounds in tune and beatless, the melodic interval will sound like the upper note is flat. Imagine a pianist playing a kind of cadenza, and after noodling around in the middle register, he or she reaches out a couple of octaves and -- bing -- plays a high note. More often than one would like, that note sounds flat. If the octave stretch is minimal (which works well for some music) that upper note sounds VERY flat. And the contrary situation can also happen -- imagine a stretched octave yielding extremely pleasing jumps to high notes. If someone plays a lot of octaves or especially double octaves up in the very high register, the results sound terrible. What sounds good as a melodic octave sounds harsh and bitter as a harmonic octave. So, partly, it helps to know what music is going to be played, but for general use, I think of tempering between harmonic and melodic intonation. As you work up there, try a little of each. Play some octaves simultaneously and then play them one note after another. You'll hear the difference. You want them both to be pretty acceptable, since they can't both be really good.

    Regards,
    Susan



    ------------------------------
    Susan Kline
    Philomath, Oregon
    ------------------------------



  • 7.  RE: Building a Temperament

    Registered Piano Technician
    Posted 05-27-2017 00:59
    Thank you Susan. I will be reading your posts over the next few days as I experiment with that temperament. I have heard of this one before, but only remembered the "up a sixth, down a third down a third." Now I will try the whole thing. 

    As as far as why I'm trying to build my own temperament, I was using the European A-A, A4, A3, E4, B3, F#4, etc. It just wasn't working for me due to not having any checks until the end. 

    Thanks again,

    ------------------------------
    Benjamin Sanchez
    Professional Piano Services
    (805)315-8050
    www.professional-piano-services.com
    BenPianoPro@comcast.net
    ------------------------------



  • 8.  RE: Building a Temperament

    Registered Piano Technician
    Posted 05-27-2017 22:30
    Good luck with it, Benjamin.

    The stacked major 3rds right at the beginning help give you feedback. Using thirds and sixths (faster beating intervals) in the body of the temperament helps give you lots of tests, and more detailed data than just relying on fourths and fifths.

    Email me if you hit any obstacles. This temperament and me go way back.

    ------------------------------
    Susan Kline
    Philomath, Oregon
    ------------------------------



  • 9.  RE: Building a Temperament

    Registered Piano Technician
    Posted 05-28-2017 16:50
      |   view attached
    Benjamin,
    I hope you find a tuning sequence that works for you. I've run into a lot of them, some heavy on thirds, some heavy on fourths and fifths. I think we're all looking for the perfect sequence. I don't think it exists.  But you've given me incentive to think about your quest. I've attached some ideas that may or may not be helpful. I was just happy to try to organize thoughts that have been percolating and that I've been wanting to put down on paper. I'll be interested to see if my random thoughts strike a chord with you and the more experienced tuners on this list.
    Richard West


    ------------------------------
    Richard West
    Oro Valley AZ
    520-395-0916
    440richard@gmail.com
    ------------------------------

    Attachment(s)

    pdf
    Basic tuning concepts .pdf   47 KB 1 version


  • 10.  RE: Building a Temperament

    Registered Piano Technician
    Posted 05-28-2017 17:29
    Richard wrote:

    "William Braid-White's book Piano Tuning and Allied Arts is a good basic start, if you don't mind dated language. Some more recent texts also are good but have problems with the language/description of the tuning process; they tend to make tuning more complicated to understand than is necessary, IMHO."

    Braid-White's book was the first text that I used when learning to tune and, for a long time, the only text. Many other tuning books have come out since then. Much more recently, we have Daniel Levitan's "The Craft of Piano Tuning," which is what I recommend first and foremost to my tuning students these days. Dan has done a superb job of describing what we listen for and the mechanics of how we affect precise and lasting changes in pitch. Exceedingly well-written.

    Alan


    ------------------------------
    Alan Eder, RPT
    Herb Alpert School of Music
    California Institute of the Arts
    Valencia, CA
    661.904.6483
    ------------------------------



  • 11.  RE: Building a Temperament

    Posted 07-13-2017 18:57
    I'm reading through this thread (because I need to do this), and found
    "Modern Piano Tuning and Allied Arts" online:
    https://archive.org/details/modernpianotunin00whit




  • 12.  RE: Building a Temperament

    Registered Piano Technician
    Posted 07-13-2017 19:38
    Thanks Benjamin, I was looking for that!

    There's the final part of this thread posted in the Fine Aural Tuning community, just so you know, but of course feel free to add to this part. 

    Sincerely,

    ------------------------------
    Benjamin Sanchez
    Professional Piano Services
    (805)315-8050
    www.professional-piano-services.com
    BenPianoPro@comcast.net
    ------------------------------



  • 13.  RE: Building a Temperament

    Posted 05-26-2017 23:33
    Benjamin,
    Enjoy hearing what you hear, and don't get too caught up in the intellectual puzzles.
    The aural tuners I most admire are very patient with the piano, and never seem in a hurry to work out the tuning...it takes time to hear what the piano is doing.
    The fourths have a lot to tell you.

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



  • 14.  RE: Building a Temperament

    Posted 05-27-2017 02:23
    And another thing to bear in mind . . the piano is probably the most difficult instrument to tune. Reason? The string tones decay so fast! You don't get a chance, at the beginning of your tuning career, to change the pitch of a string before . . . it's gone! There's a way to help here and that is by developing your perception of beats between two intervals. Listen to a pipe organ being tuned. The notes just hang on there until fingers are removed from the keys. It's quite possible you can get the flavour of an interval on an electronic organ. Go to that Frequency Chart you have created using the information I gave yesterday - and inspect the harmonics of two notes which, when played together, produce a not too fast beat. Look at the harmonic frequencies of each note and try to determine why this is. This way you can cultivate your ear to perceiving those very quiet harmonics which beat together. I can't think of a better way to train the ear than this. I started off as an Organ Builder's Apprentice some 60+ years ago in the Voicing Dept. I was the one who sat at the keyboard waiting for the Tuner to say "Next!" He would 'lay the bearings' as it was called, by ear.     Michael    UK





  • 15.  RE: Building a Temperament

    Registered Piano Technician
    Posted 05-26-2017 21:46
    There must be dozens of temperament sequences out there. Um... Why are you trying to create a new one? 

    Any, and every, temperament sequence will get you to about the same place. Close. And that's all it's supposed to do. The trick in selecting a temperament sequence is to try many and settle on one that works for you. Is it easy to remember? Does it make logical sense to you?

    There's no such thing as a one pass temperament sequence. The skill comes in refining that temperament so you can then spread it out over the rest of the piano. ANY temperament sequence that you identify with will get you to that refinement point. The hard part is finding the right one. (Wink-wink: Creating your own is even harder.)

    The one that works for me is called "Every Which Way" and was developed by Kent Swafford, RPT. Don't know why Kent has allowed it to become hard to find. None of the links in the following page work any more. Even the ones back to his own site. Pity. It's brilliant!

    https://www.scribd.com/doc/2424528/Every-Which-Way-Temperament-Swafford 

    When I started learning to tune, the biggest obstacle for me was finding a temperament sequence that I could identify with. Kent's sequence was my answer. I passed my tuning exam with it. I still use it when I stupidly walk out of the house without my ETD. It's easy to remember. It's absolutely logical. For me, it was, and remains, the answer.

    ------------------------------
    Geoff Sykes, RPT
    Los Angeles CA
    ------------------------------



  • 16.  RE: Building a Temperament

    Posted 05-27-2017 02:19
      |   view attached
    Hi, Geoff, Benjamin,

    Hoping that the system does not totally mangle (or make otherwise
    unavailable) these two attachments:

    - Kent's excellent paper on Temperament; and,
    - Wm. Braid White's classic: "Modern Piano Tuning and Allied Arts".

    I'm not sure how I got a copy of Kent's work, but here is a PDF of same.
    I've checked the links; and, while most of them seem to still work,
    apparently Kent's site is no longer running...very much too bad, he has
    published some really wonderful articles over the years.

    Scribd is a membership based site. There's more there than one can
    easily read in a single lifetime; but, it's great fun to poke around on.

    While I've played with various ETDs off and on for decades, I'm still a
    dinosaur, and prefer Wm. Braid White's instructions in Chapters 4 and 5
    of the attached PDF of his Modern Piano Tuning and Allied Arts. I come
    by the prejudice naturally as I worked with one of Braid White's
    students for a number of years.

    Another good source for learning more is the document published as
    Steinway's World-Wide Technical Reference Guide, the section entitled:
    Tuning and Voicing. I say a good start because, in the 2007 version
    that I have, it includes stuff from both Hamburg and NY in ways which do
    not (to my eye) always clearly differentiate between the differences in
    production; and, the nuances between the two instruments. Further, I've
    run into a number of otherwise very competent technicians who have
    inadvertently become confused when trying to learn from it. (Yes, my
    Hofsammer Mk7 flame suit is on and fully zipped.)

    I hope that this is of some help.

    Kind regards.

    Horace


    On 5/26/2017 6:45 PM, Geoff Sykes via Piano Technicians Guild wrote:
    > Please do not forward this message due to Auto Login.
    >
    > There must be dozens of temperament sequences out there. Um... Why are you trying to create a new one?
    >
    > Any, and every, temperament sequence will get you to about the same place. Close. And that's all it's supposed to do. The trick in selecting a temperament sequence is to try many and settle on one that works for you. Is it easy to remember? Does it make logical sense to you?
    >
    > There's no such thing as a one pass temperament sequence. The skill comes in refining that temperament so you can then spread it out over the rest of the piano. ANY temperament sequence that you identify with will get you to that refinement point. The hard part is finding the right one. (Wink-wink: Creating your own is even harder.)
    >
    > The one that works for me is called "Every Which Way" and was developed by Kent Swafford, RPT. Don't know why Kent has allowed it to become hard to find. None of the links in the following page work any more. Even the ones back to his own site. Pity. It's brilliant!
    >
    > https://www.scribd.com/doc/2424528/Every-Which-Way-Temperament-Swafford
    >
    > When I started learning to tune, the biggest obstacle for me was finding a temperament sequence that I could identify with. Kent's sequence was my answer. I passed my tuning exam with it. I still use it when I stupidly walk out of the house without my ETD. It's easy to remember. It's absolutely logical. For me, it was, and remains, the answer.
    >
    > ------------------------------
    > Geoff Sykes, RPT
    > Los Angeles CA
    > ------------------------------
    > -------------------------------------------
    > Original Message:
    > Sent: 05-25-2017 22:14
    > From: Benjamin Sanchez
    > Subject: Building a Temperament
    >
    > Hello all,
    >
    > I am trying to improve my aural skills, and thought it might be helpful to build my own temperament sequence. How would I go about doing that? Thanks
    >
    > ------------------------------
    > Benjamin Sanchez
    > Professional Piano Services
    > (805)315-8050
    > www.professional-piano-services.com
    > BenPianoPro@comcast.net
    > ------------------------------
    >
    >
    >
    >
    >
    >
    >
    > Reply to Sender : http://my.ptg.org/eGroups/PostReply/?GroupId=43&SenderKey=25d111e5-69df-4509-b862-b712660e51a6&MID=675573&MDATE=756%253c45%253a47%253b&UserKey=3feecf45-4a69-4cff-bbb2-fd6c7eaf0569&sKey=KeyRemoved
    >
    > Reply to Discussion : http://my.ptg.org/eGroups/PostReply/?GroupId=43&MID=675573&MDATE=756%253c45%253a47%253b&UserKey=3feecf45-4a69-4cff-bbb2-fd6c7eaf0569&sKey=KeyRemoved
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    >


    Attachment(s)



  • 17.  RE: Building a Temperament

    Registered Piano Technician
    Posted 05-27-2017 08:45
    Benjamin,

    Susan's dissertation is outstanding. The sequence she described is also essentially what I do regularly. Here though, is a little tidbit recently picked up from the PTG journal:

    7 beats per second happens to be the same speed as the Bee Fees song "Stayin' Alive".  Very handy reference to have. My memory wants to "play" it faster than it was originally (when I youtubed it I found it a little slower than I thought). So...I consciously slow it down slightly less than my memory serves, and it's perfect! (Turns out that they determined the meter of the song to closely match the average human heartbeat).

    Also, it turns out that, if you get that F3-A3 third exactly where the piano wants it, everything else will work out correctly.

    Practice makes almost perfect!

    Pwg

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



  • 18.  RE: Building a Temperament

    Registered Piano Technician
    Posted 05-27-2017 09:06
    For 7bps, I use "From Chicago to New York". It works well for me.

    Paul

    ------------------------------
    Paul T. Williams RPT
    Director of Piano Services
    School of Music
    813 Assembly St
    University of South Carolina
    Columbia, SC 29208
    pwilliams@mozart.sc.edu
    ------------------------------



  • 19.  RE: Building a Temperament

    Registered Piano Technician
    Posted 05-27-2017 09:19
    Michigan Mississippi

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



  • 20.  RE: Building a Temperament

    Registered Piano Technician
    Posted 05-27-2017 09:56
    Benjamin,

    As a follow up:

    As mentioned, learn to hear the 4th...beautiful and useful.

    Since not every piano WANTS 7 bps, Jack Stebbins wrote an article within the last 3 years (somebody find it for me please) on a procedure to identify the exact speed that is needed for the F3A3 3rd on ANY specific piano. 

    This procedure is unbelievably MASTERFUL and accurate! I am astounded with how well it works. And it came from one of his NBSS students no less!

    Another benefit to the "down a 3rd, up a 4th, down a 3rd, up a 4th" method is that, once you get it, it is FAST!  Yes, 2-3 minutes to set a great temperament...not bad. Sure beats taking samples, calculating, etc., etc........

    Pwg


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



  • 21.  RE: Building a Temperament

    Registered Piano Technician
    Posted 05-27-2017 12:32
    The article can be found in the December 2014 PT Journal - Page 14.

    Setting a Stack of Major Thirds Using the Stebbins/Sumrell Procedure.

    Paul.

    ------------------------------
    Paul Brown, RPT
    Vice President
    Piano Technicians Guild
    Vancouver, BC Canada
    Email: paulbrn@telus.net
    ------------------------------



  • 22.  RE: Building a Temperament

    Registered Piano Technician
    Posted 05-27-2017 13:36
    A related question for the aural experts (this may help the original poster as well):

    We know that the ration of contiguous thirds is 4:5. However, I'd like to know if there is a similarly dependable ratio when using the 4ths test
    (M3/M6) or the 5ths test (m3/M3).

    For example, in the 4ths test we use a major third below the lower note of the 4th, and that should beat slower than that same test note beating against the upper note of the 4th for a major 6. So I know it's slower, and I know it should be noticeably slower, but how much slower?

    Similarly, a minor 3rd up from the lower note of a 5th should beat faster than the same pitch a major third below the top of the 5th.

    Is there a theoretical ratio that should apply like that of the contiguous thirds? Should the ratio of the fast/slow tests be the same for a 4th as for a 5th?

    I don't think there's anything in Baldassin or Levitan about this.

    ------------------------------
    Scott Cole
    Talent OR
    541-601-9033
    ------------------------------



  • 23.  RE: Building a Temperament

    Registered Piano Technician
    Posted 05-27-2017 22:41
    Scott, there is one little tidbit which only became apparent to me after quite a long time. It was there all along, but I didn't notice it for awhile.

    Thirds and sixths progress .... but if you put a good aural tuning on a decent piano and check, the fourths and fifths do not progress. 
    A4 to D5 is not twice the rate of A3 to D4. It probably has something to do with the octave stretch. This might affect the ratios you are looking for.

    ------------------------------
    Susan Kline
    Philomath, Oregon
    ------------------------------



  • 24.  RE: Building a Temperament

    Posted 05-28-2017 05:11
    Dr. Cole,

    There is a misunderstanding of the history and chronology of tuning pianos in their development as keyboard instruments in general that would confuse any PhD attempting to understanding this in a structured way that scholars are familiar with in assembling knowledge about a concrete subject like literature or music.

    Rick Baldassin is behind the times. He appeared with a tuning system that for the most part applies to the modern grand piano and its cast iron string frame, which means he is 150 years too late. There is plenty to disagree with him about, nevertheless. He never actually proposes an octave temperament in On Pitch that I found and did not omit to. He provided computer programmers a sampling method for designing software for tuning pianos by making reference to natural harmonics, which certainly fascinated him more than other string players typically are as a double bass player. Yet he is presented as ahead of the times when somebody should have made the content he made clear over a century ago. I do not know how the strobe tuners like Peterson work, but having followed technicians using them, guess that that strobe tuners are somehow designed to reflect the fundamental sound of the string from termination to termination, i.e., bridge to agraffe, which is much closer to the numbers that Heinrich Hertz arrived at when calculating that a semitone has 100 cents. This system will not work on a modern grand piano with a string frame, due to the potential for tension the frame creates, sympathetic as the ear can be to the fundamental. The further we move away from the fundamental sound of the string due to not only added stiffness in the string that the tension causes, but also the likelihood because of augmenting sound by increasing tension and expanding scale that we will play lightly, exciting the string in addition to tension to vibrate in fractions of the fundamental, i.e., a second, a third, a forth, a fifth, a sixth, a seventh, of string length, and so on, the more we will move toward the harmonic series in an instrument with the range of the piano. Harpsichord tuners claim the opposite of stringed keyboards, i.e., that we are moving toward the fundamental sound of the string when tuning. The dynamic range of the piano also has everything to do with how a string vibrates, a subject on which Baldassin is entirely silent.
     
    You claim,

    We know that the ration of contiguous thirds is 4:5. However, I'd like to know if there is a similarly dependable ratio when using the 4ths test
    (M3/M6) or the 5ths test (m3/M3). 

    I assume this to be in reference to the major third in creating a one octave temperament. A major third is not required to have a contiguous third. You can have contiguous minor thirds in an octave, which musicians would call a diminished chord. You are correct about the ratio, but the nomenclature is backwards from what Baldassin used. No matter, I've seen computer programs for analysis of what Baldassin called the tonal spectrum use zero for the fundamental, so every number would be one less. It appears in what you go on to inquire about, that 

    in the 4ths test we use a major third below the lower note of the 4th, and that should beat slower than that same test note beating against the upper note of the 4th for a major 6. So I know it's slower, and I know it should be noticeably slower, but how much slower?

    Similarly, a minor 3rd up from the lower note of a 5th should beat faster than the same pitch a major third below the top of the 5th.

    Is there a theoretical ratio that should apply like that of the contiguous thirds? Should the ratio of the fast/slow tests be the same for a 4th as for a 5th?

    you are dissatisfied with a method for expanding and contracting intervals that never seemed precise to me as it should be either, but has prevailed in tuning theory to this day. It is difficult to find fault in a theory of tuning based on octaves if we understand piano tuning as a business, theory designed to implement a system for computer programming that can only make one consideration at a time, if it satisfies clients, but it can be done, particularly if we understand we must make more than one consideration at a time, like pianists do when playing more than one note at a time. This goes beyond tuning and is a voicing problem as well. Baldassin made reference to ratios of thirds and sixths for the purpose of assimilating his system for computer programming by sampling the vibration of a piano string with what most aural tuners do for the most part, make fifths and fourths sound good enough, and make the vibrations per second of thirds increase as you ascend the piano. However, his theory for sampling piano strings did something different entirely and does not make reference to thirds at all, outside of what a third check would reveal in the expansion of an octave. Baldassin seemed as unconcerned about precision with fourths and fifths as many aural tuners, but that never aligned with his general theory for me in understanding the role of natural harmonics in tuning perfect intervals. It is a contradiction in argument and theory. It remains to be seen whether it follows in revealing such partial sequence in thirds that by programming a device based on partial sequence of octaves that are part of the same system of harmonics in a piano string, that the difference is negligible when using software programmed this way, between the partials of a 3rd and an octave, more so, the partials of other perfect intervals in equal temperament. It is important to keep in mind when determining how to execute a one octave temperament to tune the rest of the piano to that an octave has only one octave, and that it follows, that thirds, fourths, fifths, and sixths therefore, are more important than the octave in that there are more of them in an octave temperament. Baldassin did not try to see in microcosm, and in general neither do ETD users. Yet admittedly, his work was overdue. 

    More to your question, though I am not sure I have the latest edition of On Pitch, 1994, on the fourth, Baldassin only recognized the 4:3 partial, which applies to the test you mentioned. There is also the 8:6 partial of the fourth, a check for which is the minor 6th and minor 3rd above the fourth, and the 12:9 partial of the fourth, check for which is the major 6th and major 3rd above the fourth. 

    On the fifth, there is a check below the fifth for the 3:2 partial, a M6 and M10. What you proffered is the 6:4 check. Then there is a 9:6 check also flanked by the fifth, M3 above the root, and a m3 below the fifth. There is also a 12:8 fifth check, a m6 and a m10 above the fifth. Baldassin only goes far as 3:2 and 6:4 with the fifth.   

    This is by no means an exhaustive lists of checks for fourths and fifths, but do provide some guidance in determining just how much to "Expand" a fourth and "Contract" a fifth, terms I find entirely unsatisfying, as that "Contracting" a fifth frequently means nothing different than tuning an octave narrow of 1200 cents, or 2:1. A lot of that is just for tuning hillbilly and cowboy instruments like the guitar. You'd be lucky if it had 12 strings total. Baldassin definitely has helped a few "tuners" get past their first rodeo, I will admit. Or their first ETD.

    ------------------------------
    Benjamin Sloane
    Cincinnati OH
    513-257-8480
    ------------------------------



  • 25.  RE: Building a Temperament

    Registered Piano Technician
    Posted 05-27-2017 15:54
    The theme song for Final Jeopardy works well for me. 

    A disco music producer once explained to me that the heartbeat rate relates quite closely to the frequency at which the mass of an average human body can comfortably bounce up and down in synchronous rhythm with gravity. In other words, to dance at the natural fundamental 1st partial frequency of your bouncing body requires a lot less energy when the tempo of the music is in unison with your body's natural 1st partial bounce frequency. That frequency just happens to be very close to a normal heartbeat. Slower and faster tempo's require more energy for the dancer to maintain.

    ------------------------------
    Geoff Sykes, RPT
    Los Angeles CA
    ------------------------------



  • 26.  RE: Building a Temperament

    Registered Piano Technician
    Posted 05-27-2017 20:06
    Hello Benjamin,

    I commend you for wanting to improve your aural tuning skills. I've been an aural tuner for 45 plus years and I still believe it's important for me to work on my aural tuning skills. Every time I tune a piano I view it as a learning experience. 

    I absolutely believe it would be helpful to build your own temperament sequence. I would start by encouraging you to think about 'Nature's' scale; the harmonic series. For example, take the first four notes of the harmonic series; four notes, but only two letter names. If for instance you began with the note C2, the first four notes are; C2, C3, G3, and C4. C2, C3 and C4 are all the same note, just in a different register. Therefore, the first and strongest harmonic interval of 'nature's' scale is the fifth. The next interval is the fourth (in our example that would be G3/C4). And notice that, in 'nature's scale', an octave is defined by an adjacent fifth and fourth. So, having a predetermined 'stretch' number in mind for an octave may not be the best musical decision.  

    So in developing your own temperament sequence, think about the prominence the fifth might receive. If you think about fifths in a musical way, the 'circle of fifths' might just come to mind. If you looked at an illustration of this 'circle of fifths', you'll notice the relationship between fifths and thirds. Then you might think about the size of 'circle of fifths'. The bigger the circle, the more stretch in the octave and the wider the fifths. The wider the fifths, the faster the thirds. 

    So, having a temperament sequence that you make your own is a big deal. But understanding interval relationships is even a bigger deal. It allows you to develop your own sequence and quickly adapt to whatever circumstances the piano you're tuning presents. I would suggest that you even think beyond a temperament sequence and develop a 'tuning stradegy' for the whole piano. And remember, 'it's all about the music". As has been stated; 'tuning is as much a question for the arts and humanities as it is for science. 

    I appreciate your desire to improve your aural tuning skills and wanting to develop your own sequence. It sets a wonderful example for our profession. 

    Best,
    Rick

    ------------------------------
    Rick Butler
    Bowie MD
    240 396 7480
    RichardRichardRichardRichardRichard
    ------------------------------



  • 27.  RE: Building a Temperament

    Registered Piano Technician
    Posted 05-27-2017 22:51
    I never used mnemonic one-potato-two-potato kinds of tricks to remember the F-A rate. I just remember the rate. If I were to guess it wrong the stacked thirds dividing F3-F4 wouldn't work well -- besides, some pianos don't want quite the same rate as others.

    I like simplicity. I don't like fiddling around working out coincident partials, either. Sure, the data is there, and the machines make it easy to access -- but is it useful? If partials coincide or don't coincide, I'll hear it in the whole sound. Each piano has a different profile as to which partials sound more prominent -- I'll hear that in the whole sound, too, without having to make allowances for it. Virgil Smith took this much further than I have. The one seminar I got to hear him do, he had curls in all the unisons, but he got a very musical result -- and a differently musical result than conventional tuners. Too bad I heard that only once, and didn't get to play and listen to the piano after he was done.

    ------------------------------
    Susan Kline
    Philomath, Oregon
    ------------------------------



  • 28.  RE: Building a Temperament

    Registered Piano Technician
    Posted 05-28-2017 05:07
    Susan wrote:

    I never used mnemonic one-potato-two-potato kinds of tricks to remember the F-A rate. I just remember the rate. 
    Good advice, IMHO. Once you've heard it a few thousand times, it's pretty easy to remember!

    Alan

    ------------------------------
    Alan Eder, RPT
    Herb Alpert School of Music
    California Institute of the Arts
    Valencia, CA
    661.904.6483
    ------------------------------



  • 29.  RE: Building a Temperament

    Registered Piano Technician
    Posted 05-28-2017 05:49
    Oh Benjamin, I hope you're not sorry you asked the question. I know it took me years to digest a lot of the theory of acoustic phenomena. Note the advice above represents probably over 700 years of practice, there's a boggling amount of experience on this forum.

    It's great that you want to cultivate your ear, I think that the use of ETD's are generally a disincentive to mastering aural tuning and that's a truly unfortunate byproduct of the technology. I find aural tuning to be deeply satisfying, using my ETD, not so much. If you spend 5 or 10 minutes on every piano practicing without the ETD I'm sure you'll make quick progress. 

    Pretty much every aspect of piano design is ultimately in service to the tonal spectrum (that we define in the tuning process), tuning offers insights into the action, scaling, soundboard, etc. as an integrated system; your tuning is the last, most transient layer of that system. 

    Tuning, as is music of course, is a sensory experience and as I think Susan indicates, at some point one learns how these different intervals and relationships feel. The numbers and ratios are checks to help us keep our bearings but ultimately we rely on our senses. 

    Something I've come to appreciate recently is how much musical instrument building is a long series of compromises, one can't get around that but you can exercise control and creative intent by prioritizing those compromises. Certainly the tempered scale and navigating the inharmonicity of the piano is an example of this truth.

    ------------------------------
    Steven Rosenthal
    Honolulu HI

    ------------------------------



  • 30.  RE: Building a Temperament

    Posted 05-28-2017 07:47
    Sad to admit Rosenthal,
    All you'll get from the majority of Steinway C&A guys today is the infamous Allen Iverson speech:

    Iverson Practice!
    YouTube remove preview
    Iverson Practice!
    Allen Iverson says practive 20 times in a press conference. One for the ages.
    View this on YouTube >

    Why I quit the academy. I think the Technical Guide should be changed to reflect the Iverson attitude personally, about tuning, and then, we will understand why the piano industry is a buyers market today much better...

    ------------------------------
    Benjamin Sloane
    Cincinnati OH
    513-257-8480
    ------------------------------



  • 31.  RE: Building a Temperament

    Registered Piano Technician
    Posted 05-28-2017 19:21
    Benjamin,

    What kind of piano do you have available to practice aural tuning on? A good one, or a mediocre one?

    Pwg

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



  • 32.  RE: Building a Temperament

    Registered Piano Technician
    Posted 05-28-2017 21:25
    An acrosonic spinet. I know, not the best, but after the restoration process is complete it will be a lot better. I currently have three pianos in my home, a Baldwin console, a half restored old upright (a long story), and the acrosonic. Occasionally I also have a baby grand to practice on.

    ------------------------------
    Benjamin Sanchez
    Professional Piano Services
    (805)315-8050
    www.professional-piano-services.com
    BenPianoPro@comcast.net
    ------------------------------



  • 33.  RE: Building a Temperament

    Registered Piano Technician
    Posted 05-28-2017 21:47
    Ok, well that sort of makes it tough because you need to be able hear what "ideal" sounds like before you can duplicate it. Sorry to say that ain't gonna happen on an Acrosonic spinet.

    I don't know quite how to guide you unless you can spend some time on a decent brand or big upright.

    Any other suggestions from anyone?

    Pwg

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



  • 34.  RE: Building a Temperament

    Registered Piano Technician
    Posted 05-29-2017 07:24
    When I was mentoring with Steve Brady at Univ of WA, I had access to all the practice grands to,...well...practice.  Gave me a nice variety of brands and ages of grands. At home, I had an Aldrich console with an aluminum plate!  I figured if I could tune that, I could tune anything!

    If there is a college near you that has a music program, you might ask if you could practice in a practice room. Especially over the summer, access could be very easy.

    Paul


    ------------------------------
    Paul T. Williams RPT
    Director of Piano Services
    School of Music
    813 Assembly St
    University of South Carolina
    Columbia, SC 29208
    pwilliams@mozart.sc.edu
    ------------------------------



  • 35.  RE: Building a Temperament
    Best Answer

    Registered Piano Technician
    Posted 06-02-2017 19:56

    Hi Benjamin,

    This is good advice from Peter and Paul ( no Mary has joined the discussion yet :) )

    If you go for the F3-F4 temperament octave, the larger the instrument (ie the farther away F3 is from the break), the easier it will be to get a fair chance at building something out of preference, not compromise.

    Susan's post is very helpful - thank you for putting in so much effort time and time again, Susan, it is much appreciated!

    Since you wrote that your strengths were hearing beating fifths and identifying equal-beating intervals, a good idea might be build the F3-A3-C#4-F4 M3's so widely used and advocated, and then - following that:

     

    1. tune F#3 and E4 as pure 5ths at the 6:4 partial match:
      - F#3 from C#4, should be equal-beating using A2 as a test note, and
      - E4 from A3 should be equal-beating using C3 as a test note.
       
      You can adjust the test notes to whatever beat speed you feel comfortable with. [EDIT: as long as the M6ths and M10ths are wide of pure]
       
    2. then, tune B3 until the beat speeds between F#3-B3 and B3-E4 are the same ( = until those two 4ths are equal-beating). This will give you a B3 that is surprisingly "close to the truth".
       
    3. Following this, tune G3 so G3-B3 is faster than F3-A3 and slower than A3-C#4, there should be a smooth acceleration between the three 3rds upwards. Then do the same with B3-D#4; faster than A3-C#3, slower than C#4-F4. Now you should have a smooth acceleration of 3rds up through the whole-tone scale. (F3-A3, G3-B3, A3-C#4, B3-D#4, C#4-F4). To make it as smooth as possible, adjust G3 and D#4 as needed.
       
    4. Then, fill in the missing notes by listening to their 4ths and 5ths, which are already tuned. Make the 4th sound a bit busier than the 5th. That is, F#3-C#4 a bit calmer than F#3-B3, G#3-D#4 a bit calmer than G#3-C#4, and so on. Inharmonicity makes the 4ths beat close to the same speed in the temperament range, so you can use equal-beating 4ths for A#3 (F3-A3-D#4) if you wish.
       

    Then, finally check all fourth and fifths in the temperament range, go for busier fourths and fifths, and don't consider any notes "sacred". This is a homage to Kent Swafford's "Every Which Way" temperament. If you end up with a mess, start over. This is not sarcasm, its a pragmatic and liberating advice. I spent too much time in the beginning trying to build the perfect temperament, fretting over every note. 

    The anchored B3 is, I think, Jim Coleman Sr's idea. Interpolating using pure 5ths are also used by Bill Bremmer (ET via Marpurg). It is accidentally also how I learned to tune myself, without knowing that others had presented the idea. In fact, I was embarrassed to bring forth my "homemade theory" until I saw that others used it, too :)

    Jack Stebbins "Let the piano tell you" approach uses the fact that it's easier to hear the slower beat rates in the C#3-C#4 octave, the temperament octave that Jack uses himself. But again, this is much easier to appreciate on a taller instrument.

    If nothing in this feels right to you, don't hesitate to build your own method, grabbing pieces of advice and coming up with your own ideas.


    Finally, sometimes we put considerate effort into the temperament and then treat the area above and below with another approach. This is of course not the case, the whole piano is the final and ultimate temperament, along Susan's reasoning earlier. Irregularities in the temperament octave, even small ones, will show up if you listen to the 4ths, 5ths and the octave as you are expanding the range downwards and upwards! I never hesitate to go back to those irregularities and move things around if need arises.

    [Aural] tuning is part science, part flower decoration (a quote I love). That's one of the reasons I prefer tuning aurally to tuning using an ETD. Sometimes if the bass/tenor break plays games with me (on shorter instruments), I build something new around that problematic area and expand from there.

    If you get the chance to tune a large high-quality grand, grab it immediately! Everything is so much easier on those.  

     



    ------------------------------
    Patrick Wingren, RPT
    Jakobstad, Finland
    0035844-5288048
    ------------------------------



  • 36.  RE: Building a Temperament

    Registered Piano Technician
    Posted 06-02-2017 22:50
    Patrick, thank you. I love the quote about aural tuning being part science and part flower arranging! That's a keeper.

    If one is tuning a spinet with a very poor scaling, for instance a spinet where part of the temperament octave is wound strings, or where the break is really problematic, it's possible to expand the stacked thirds beyond the temperament octave, taking them downward to try to make some sense of it all. First set the three thirds dividing the temperament octave, then go down: F3 down to Db3, C#3 down to A2, etc. One seldom needs to, but it's at least something to try when having a hard time.

    As for my habit of checking fifths and fourths below each new treble note all the way to the top, I think of it as a way to keep the temperament from drifting because of small but repeated errors as one goes up. Making sure that both fourths and fifths are acceptable at all times (fifths a trace more than fourths) will weave any small mistakes in the temperament octave back into the fabric of the tuning.

    I agree that Benjamin will make much faster progress if he can get access to a decent grand, or even an old very big and well-designed upright. Still, he can learn on lesser pianos, and certainly almost all of us will spend a lot of time tuning them. There's just a certain strain in trying to get them to do what they are not really able to do. So long as the time spent attempting the impossible doesn't get totally out of hand, the struggle can still be a learning experience. I've spent many an hour trying to clean up middle treble unisons on poor pianos with lots of false beats. I think it did pay dividends when I got to better grands. I remember that back when I first started tuning I'd be sweating over some notes in the fifth octave of a crate, and I'd fret to myself, "but I can't leave it sounding like this!!" when it had become apparent some time before that I was going to have to. I started consoling myself by muttering, "well, they are used to it sounding even worse."

    If Benjamin could find a friendly music department of fairly small size, and start doing a lot of frequent tuning on the practice and studio grands, even at a fairly deep discount, that might give him both the access and the volume he could use to get his aural tuning very serviceable and comfortable. Like you say about starting a temperament over again instead of sweating the details of it -- just doing everything quickly over and over again yields better results than slowly sweating through a tuning much less frequently, trying to make it perfect. I like fast multiple passes, some of the later ones just looking for strays or taking care of minor voicing. I seem to get results that way which are better, but which don't take more time in total. This reminds me of something I have thought of saying about concert stability for awhile.

    OSU isn't a huge department. Most of the concert tuning is done on one pleasing Steinway D, in a good hall. This one, I finally have some of my work on YouTube! (along with a very earnest plea for ecology, which somehow seems very appropriate this week.) It's also appropriate to give people a chance to see whether I'm blowing smoke when I write about tuning -- it's not something I can judge, everyone would have to decide for themselves. -- and I can hear one thing I didn't do well in this recording, never mind ....

    A Call to Life: Variations on a Theme of Extinction: Kathleen Dean Moore and Rachelle McCabe,

    We look after this piano carefully. Most of the time the unisons are very stable and I need barely move the tuning pins to polish everything. Only every now and then I'm tuning a rental for a concert, and it is not stable, so I'm beating on notes and really moving pins to try to get everything to stay put. I like multiple passes. I tune a note, beat on it, go on to other notes, and then come back and check to see what happened to the one I just beat up. I don't feel safe with a unison, especially in the middle treble, till it has been given a chance to drift and ends up so close that I can make my last move on it very tiny. It's one thing to have the theory that a beat up note is now stable, and another to give it a chance to go out and see what it actually does. In a pitch raise with a carefully chosen over-pull, one may end up pretty close pretty quickly, but there is really no substitute for seeing what the notes actually have done, which multiple passes and short but frequent visits to check a tuning can provide. If I can check the tuning after an artist has practiced, I feel that he or she will have left a perfect pattern of what the performance is likely to do, so I can focus my attention where it is best spent. I live ten minutes from the hall and have a permanent parking permit for the loading dock area -- what a luxury!

    Well, as usual, I've probably said too much ...

    ------------------------------
    Susan Kline
    Philomath, Oregon
    ------------------------------



  • 37.  RE: Building a Temperament

    Registered Piano Technician
    Posted 06-03-2017 00:54
    Thank you all so much for the advice! It has been very much appreciated and will be relied on heavily in the next few weeks and months especially. 

    As as far as my piano situation goes:

    My Acrosonic is fairly well scaled -- at least the beats progress smoothly as I go up the scale after tuning with the SAT. F3 and F#3 are wound, but there are no wild strings in the temperament section. No tubby strings in the piano. 

    The piano sitting about 5 feet from the Acrosonic is an old upright, with a big, booming dead sound. Yea, the strings need replacing. On the to do list. Is it well scaled? Don't know, the sound dies out too quickly to tell. And too quickly for practicing on. 

    Find a grand? Possibly. I tune for a local school, but am not sure if they'd let me practice. They use all their pianos heavily. 

    One of my clients is trying to sell their Kawai GS-50. Neither of them play, and it sits in the house as a decoration, but they had it tuned to sell it. Would ask, but they both live in their home. My family lives in my home too; that's why I was booted out to the garage with my pianos....

    One of of my clients is a multimillionaire who lives out of state and comes here occasionally. I love how the piano sounds -- it's a Kawai nine-footer. Excellent piano. The problem is convincing the owner to let me use it. She's very protective of it. Any ideas on how to approach this, or should I look for something else?

    Im open to any and all suggestions. In the mean time, I will continue to practice on the Acrosonic. As someone said in a previous post, if I can learn to tune on that I can tune anything. That is the point of learning, right?

    Thanks,

    ------------------------------
    Benjamin Sanchez
    Professional Piano Services
    (805)315-8050
    www.professional-piano-services.com
    BenPianoPro@comcast.net
    ------------------------------



  • 38.  RE: Building a Temperament

    Posted 06-05-2017 10:34
    Hello Susan

    Thank you for all that you have written on this thread. Very informative! The piano in the youtube link sounds good and solid.

    If I may ask you a couple of questions,

    1. For the piano in the video, what hammer technique did you use?
    2. Please can you expand on tuning a piano with multiple passes?

    Thank you.

    ------------------------------
    Mark Davis
    Piano Tuner/Technician
    www.pianotuning.co.za
    ------------------------------



  • 39.  RE: Building a Temperament

    Registered Piano Technician
    Posted 06-06-2017 03:10

    Hi, Mark

    You visited and listened to my YouTube! Thank you!

    For this piano, I use the hammer technique I use most of the time. I've had a long extension hammer for many years, with a short and very angled head, which I bought from Jim Coleman, Jr. at a convention. (pictured)

    From the time I started tuning in 1978, I've tried to use two tactics to avoid physical wear and tear:

    First, I try to use a lot of different right hand positions and holds so that I don't end up with repetitive stress,

    Second, as soon as I've done the part of the work requiring stress or movement, I relax everything. It's like a pianist relaxing in the smallest increments of time between playing, which prevents seizing up in fast passages.

    Many years ago, now, Jim Coleman, Sr. (lots of Jim Coleman in this post --- a good thing!) came and gave a tuning seminar in Washington State. He showed us a technique where he tapped the side of the tuning hammer instead of holding and pulling it. Then he gave us a beautifully reasoned argument about why this led to better stability. To cut to the chase, this tapping or slapping technique gets the pin to move in very small increments, without bending or twisting. One does not have to adjust for a rebound reaction of the tuning pin which a slow pull, then let go, requires. I believe I had already realized that it is important not to judge the pitch change while one still has hold of the hammer, because it can shift when one lets go -- but with tapping, the issue does not even arise.

    Jim Sr. used this in a relatively limited way, but I took hold of the idea and used it a LOT, with quite a bit of variety, depending on the condition  of the piano. As I got older, I realized how valuable this approach is to avoiding muscle strain and fatigue. For an upright with tight pins, especially one needing a pitch raise, a long tuning hammer at about 2 or 3 o'clock and an open-handed SLAP way out near the end of the hammer is the very easiest and least stressful way to move pitch. I believe it's also the least stressful for the wire, because the length of time it is put under strain in the shortest. Of course one calibrates the strength of the slap to the resistance in the tuning pins -- that hard a slap on a piano with loose pins could well break wire. It becomes a subliminal choice, how hard to tap or whack the tuning hammer, depending on how far one wishes the pitch to move and how easily the pin can turn -- unconscious in practice; one gets better at it over time.

    There's a cute little thing to try, just for fun. Put the tuning hammer on a pin for a new note, play an octave to see how far out of tune it is ... stop playing. Move the pin in your usual manner. Then play the octave again and see how close you got. I suspect you'll be surprised by how close it usually is. All those hours of tuning year after year do have an effect.

    You'd think that heavy slapping and tapping and whacking a tuning hammer with an open hand would lead to injury, but it doesn't seem to hurt me. I'm 71, have tuned for nearly forty years, and have fibromyalgia and arthritic knees and general muscle soreness in the background of everything I do, but my hands, wrists, elbows, and shoulders are really just fine. I do not get more sore from tuning, thank heavens.

    A long tuning hammer seems awkward at first, but one gets used to it. I manipulate it way out at the end a lot, then I pick it up near the head to put it onto the next tuning pin. As the years have gone by, I use less and less pulling of the hammer (which I do by closing my hand) and more and more tapping and hitting, and grabbing the very end of the hammer, kind of nibbling the pitch back down if it has gone too far. I repeatedly nudge the tuning pin, almost using the natural sloppiness of the tip on the pin as a kind of micro impact hammer. I judge how hard I'm pushing on the pin by the resistance I feel as I "nibble", even when I can't hear the pitch changing. Six or seven little pushes like that and it will move by that infinitesimal amount I want.

    I think that the key to tuning stability is to move everything repeatedly in the smallest possible degree, and to avoid bending and flagpoling of the tuning pin. I will sometimes stress the pin just a bit by pulling on the very end of the hammer with a little twist, giving the pin just a slight strain which if earnestly applied would be a bend -- then I let it go. This is partly to ascertain where in the "marshmallow zone" the tuning pin is.

    Are you aware of the idea of the marshmallow zone? On some pianos it's a lot wider than on others. It's the area where you can bend or otherwise annoy the tuning pin, and the pitch will change, but without the pin turning in the pinblock. And then it will change back, in unpredictable ways. One wishes to master the marshmallow zone. If I think a note might not be as dependable as I would desire, I like to stress it downward and then upward, both just slightly, and hear it change equally in each direction, ending in the middle. I know that some people like to make the last strain on the wire upwards, the better to resist a hard blow, but I like to leave it right in the middle.

    There is a happy idea, possibly with some degree of self-delusion: the "self-healing" tuning. The idea is that if all the back lengths are tensioned exactly right, without any extra tension waiting to work across bridge or bearings, a monster killer blow might whack out a unison, but then a moderately heavy blow a minute later -- might just get it right back to where it started! The idea is that the killer blow will pull some of the back length wire so it is no longer equal in tension to the rest of the string, and then a moderate blow may just equalize it again.

    Well, sometimes we need happy ideas.

    You asked about multiple passes. I like the general principle, because I want to react directly to what a note actually does after it has been moved, instead of what one theoretically assumes it will do. Of course a good hammer technique reduces the tendency of changed notes to stray very far, but it is not infallible. I think there are two variations of multiple passes: tunings and pitch raises when the piano is far out to begin with, versus pianos which are looked after so frequently and carefully that they are very close to being in tune at all times. Of course one tunes them differently.

    For a major change like a pitch raise, multiple passes can be done very quickly, using a "circles of refinement" model. The earlier the pass, the faster it can go, because one is going to come back to it later. One gets as much of the piano as in tune as possible as fast as possible, by roughing in the worst sections first. If you're raising a piano more than a semitone, you have to be realistic about what you will end up with. Multiple passes will get it better faster than trying to do detail work too early. Given that some degradation of the tuning will occur within a few weeks, it also makes sense to try hardest for stability in the areas of the piano which will be the most used. And then one has to inform the customer of what to expect. The ETD over-pull programs are reported to work very well, and a rough seat-of-the-pants aural overpull isn't too bad, either -- except if a piano is fragile and old or visibly a string breaker, I'd much rather do a fast pass exactly to pitch, and then do only a minor overpull on the second pass if the piano has accepted the first pass. The overpull and the strain on the wire is less if the strings all have moved over the bearings once already. Today I tuned an 1886 Steinway upright -- fun piano, still has a lot of "piano" in it, but with wire this old, there's no way I'd pull any of the wire over pitch. The main challenge of this piano is that the treble wire has a real warble in it, and it feels work-hardened when one turns the pins, which are not terribly tight. I do some very light tapping. One wire resisted considerable effort to bring it up the last cent or so. I decided it was truly ready to break, and I ended up tuning the other two strings down that cent, as being the better part of valor.

    For concert instruments one has often seen, and which are very stable, "multiple passes" has a different meaning for me. I'm basically polishing, or doing a very minor pitch change due to change of season. I'm also doing very minor voicing, which I do with one short needle in the chopstick tool. I think that voicing for evenness is most effective when one is dealing with the soft end of the dynamic range -- mezzo piano or softer. This is where voicing problems will show up the most in the playing. It's also important to deal with the shift voicing, and sometimes with half-shift voicing. One assumes and hopes that the voicing in the loud dynamic ranges was set up properly to begin with, and/or that the hammers were well enough made that they are naturally even when played very loudly. By using a short needle sparingly, I'm not interfering with the natural progression of brightness as notes are played harder and harder, bringing the support of the inner layers of felt into play. One hopes that no one else has mucked up the inner structure of the hammers, either.

    So, for me, "multiple passes" of a piano nearly perfectly in tune to begin with means that I want to see it often, actually at all opportunities, though I will often spend only a few minutes on it, searching for "strays", after it has been played. A visiting artist may of course practice anything, but whatever else they work on, one can usually assume they will try the pieces they are going to perform. Therefore, though they may knock out notes practicing for that performance of Petrushka next month, more of the time they'll be playing the pieces they are going to play the same or the next day, and therefore anything in the tuning which has changed is going to be challenged again -- so one can focus almost entirely on those notes. I prefer to do the full tuning before the pianist practices -- and then go over the tuning just before the people come in, and then I always check it an intermission. Mind, sometimes I can hear that it really doesn't need checking at intermission, but I always do it anyway, because I tell the artists that I am going to attend the concert -- they look gratified -- and then I tell them that I'll check the tuning at intermission -- and they look SO gratified that I realize this is something which very seldom is done for them.

    My situation is fortunate, and I realize that a lot of people would find it hard to follow my example. When my mother died in 2004, she left me some money. I paid off my mortgage and car loan, and still had something left for a modest retirement, though when I got ill and had a hospital stay in 2010, it took a big chunk of it, but not all. Living costs are quite low here, I'm not retired, though I keep my schedule light, and I get a dab of Social Security. I tune for almost all the concerts in my area, but there are a manageable number. I can afford to take my time and to do everything the way I'd like it to be done. The OSU hall is only ten minutes from my house, and they offer me lots of time for working on the piano. The acoustics are clear, the people are nice to work with, the audience is very quiet, attentive, and numerous enough, and Rachelle (my boss) brings superb pianists. Not that big a concert series, but every one is memorable. And life is good.

    So, checking the piano at intermission is easy. I'm there, I just have a few steps up onto the stage. Everyone is used to seeing me doing it, and I imagine many probably think it's standard practice, instead of being totally rare. It only takes a few minutes; sometimes I've come up, tested everything, and not had to touch a note. A few times I've worked flat out for the whole time available, and someone says, "are you about done?" and I always say "YES." I can stop whenever I choose on the rare occasions when someone has really messed with the tuning, because I always correct the worst notes first. Generally, there isn't all that much to do. It's easy for me, and the pianists love it -- so why not? The piano already sounds good -- why shouldn't it sound as good as possible? And, once again coming back to the basic idea: I'm dealing with what the notes actually did, not what I imagined they might do. If a piano goes only a tiny bit out of tune for only a few notes, they can be improved quickly. So that's what I do.

    Regards,



    ------------------------------
    Susan Kline
    Philomath, Oregon
    ------------------------------



  • 40.  RE: Building a Temperament

    Registered Piano Technician
    Posted 06-06-2017 06:05
    Great post, Susan. Thanks so much!

    Alan

    ------------------------------
    Alan Eder, RPT
    Herb Alpert School of Music
    California Institute of the Arts
    Valencia, CA
    661.904.6483
    ------------------------------



  • 41.  RE: Building a Temperament

    Registered Piano Technician
    Posted 06-06-2017 16:17
    Glad you liked it, Alan. It's what happens when I eat chocolate in the evening. <blush>

    ------------------------------
    Susan Kline
    Philomath, Oregon
    ------------------------------



  • 42.  RE: Building a Temperament

    Registered Piano Technician
    Posted 06-06-2017 17:33
    Susan wrote:
    "Glad you liked it, Alan. It's what happens when I eat chocolate in the evening. <blush>"

    That being the case, next time I visit my brother's family in Newport, OR, I will drop off a case of your favorite chocolate as I pass through!

    Alan


    ------------------------------
    Alan Eder, RPT
    Herb Alpert School of Music
    California Institute of the Arts
    Valencia, CA
    661.904.6483
    ------------------------------



  • 43.  RE: Building a Temperament

    Registered Piano Technician
    Posted 06-08-2017 00:27
    Hi, Alan

    So you have a brother in Newport! A neat place, Newport. They have by far the greatest piano resources on the whole Oregon coast, despite the town being quite small. I and Jeff Hickey share the tuning at the arts center.

    As for the chocolate, don't tempt me.

    Chocolate's effect is naturally self-limiting. The receptors for its magical substances down-regulate when exposed to it frequently. Therefore, to get the full good of chocolate, one has to do without it for a few weeks, and then have some. Having more and more does less and less good, alas. It also has to be extremely dark (90% or 95%) or the sugar has so  many drawbacks it's not worth eating.

    ------------------------------
    Susan Kline
    Philomath, Oregon
    ------------------------------



  • 44.  RE: Building a Temperament

    Posted 06-06-2017 09:52
    Susan, 

    Wow, what a pleasant surprise of a response! Your post is very informative. Thank you very much! It is wonderful to hear the passion that you have for your work 40 years down the line.

    Yes, I did listen to about 20 min of the concert in total, at various points throughout the concert, but not the running commentary.
    I am glad that your work has got onto Youtube. The piano sounds really good.

    Still tuning at 71? Wow, what a wonderful example of perseverance and of a good work ethic! It is something to emulate. I am sorry to hear of your ailment/s and struggles, and I am amazed at you enduring with such fortitude. I hope that you are able to find some help and relief with your physical difficulties. It is obviously very helpful to have all of your work within close proximity. That is good.

    I am going to need to re-read and re-read your post to digest all that is in it.

    If I may ask you another question Susan? What is your protocol for test blows? When, where, how and why?

    Thank you Susan.

    Kind regards,

    ------------------------------
    Mark Davis
    Piano Tuner/Technician
    ------------------------------



  • 45.  RE: Building a Temperament

    Registered Piano Technician
    Posted 06-07-2017 05:21
    Hi, Mark

    Okay, test blows.

    The first thing to consider is where on the piano they are needed. If you've ever tried to set a bass string slightly sharp and beat it down, you'll realize that the chance of a pianist beating out a unison in the bass is very small. When I first started concert work (on a 1970 Baldwin SD-10 with difficult rendering) most of the damage from playing happened in the first capo section, so that is where I used firm blows. Well, until I improved the rendering on that piano. I had to really beat on it repeatedly before it would behave. When one of those strings went out from heavy playing, it didn't go out just a little bit!

    I spend a lot of time getting the first capo section right and stable and voiced. It is where many of the melodies reside, the "killer" octave which has to be able to dominate the texture. Unfortunately, the natural tendency of grand pianos is to have the tenor much louder than it musically needs to be. Doug Wood put it well when he told me that it is good to voice down the lower tenor area, because if a pianist wants to play it loudly, they will find it easy to, however you voice it. Being able to play it soft enough is the problem.

    So, I'd get the first capo behaving, and that seemed all right. However, as time went on, some pianists who played very heavily or in a percussive (poking, jamming) manner would then throw out the top half of octave 4, while the capo, having received a lot of work for stability, was still pretty good. I have tuned for pianists who could throw out unisons all the way down into the lower part of octave 3, but it's rare. So I'd beat up whatever they had thrown out. And I'd beat up the high treble, too, trying for stability. 

    I learned not to beat notes in octave 7 too hard, the year I broke C#7 in three Steinway D's, two of them less than a year old. I came to understand that there is a natural vulnerability in the Steinway D scale up near there, and I'd better respect it. So, how to replace the firm settling blows in that area? All I have figured out to do is to retune up there over and over again, with extremely tiny adjustments,  and to work on the voicing.

    So, on a normally stable concert instrument, I tune with firm but not brutal blows, somewhat more firm in the middle and high middle treble, but not too hard in either the high treble, or the low tenor and bass. Blows too hard in areas which don't need them just leads to wear and tear on both the piano and the technician. Extremely loud blows in the tenor and bass also make it harder to hear the pitch accurately, because of all the prominent high overtones one is exciting. Of course, playing the bass loud sometimes is needed to evaluate the voicing, but that's a separate issue.

    Physical self-defense: for very hard blows I cluster my thumb and two fingers, and I make the blow from just above the key by a very sharp motion of the wrist. After the blow I relax my hand instead of holding the note down. Unless I'm doing repeated very hard blows to try to settle something, I'll make a hard blow followed immediately by a soft blow so I can hear the pitch better.

    There are firm blows as part of normal tuning of a stable instrument, f or ff, just part of everyday work. Then there are "test" blows, or very very hard blows, for a situation where one senses instability. The last time I had to do a lot of that was when a small college out of town I sometimes tune for had invited a really fun intelligent Russian piano prof from Eastman. They hired a 9 foot Bösendorfer to pair with their Steinway D for her master class. I don't tune Bosies very often at all, so it was interesting. In the capo sections it reminded me of the Baldwin, in that to get stability I needed to tune the notes slightly sharp and beat them down, and then I'd micro-manage the tuning of them at the end of the process, when, beaten down, they were stable and I could polish them with very small adjustments. It all seemed to work.

    If someone has destabilized a piano, or wire has been slacked off a long way and not stabilized after it has been pulled up, or when wire is new, then I use repeated heavy, very heavy blows, leave the notes alone for awhile while I tune in another area, and then come back to see if the notes have responded to the heavy blows by shifting. Sometimes the notes will stay put after being beaten up, but often they will not.

    A thought or two more on octave 7, which gives me the most trouble these days. Musically, it's convenient for the pianist to have both ends of the piano voiced bright, phasing in gradually, with the very highest and very lowest notes voiced very bright. I saw what happened to our OSU piano when Doug Wood did this, and it was good, very good. However, that does make it hard to get the high treble tuning really smooth. The brightness will show every tiny problem with the unisons. Add in the necessity to temper between melodic and harmonic intonation, and one faces some real difficulties. Listening to individual strings in octave 7 of most concert level instruments, one hears that very fast false beats almost give some of the notes a kind of sandy texture. So, pitting the three different beat patterns against each other to try to get a clean sound helps, but it can only do just so much.

    I thought about this, in a philosophical manner. Is perfection in tuning of a piano the most important thing about it? Well, while of course tuning is very, very important, letting an artist get the necessary access to the piano is more important than the final picayune details. Getting the action responsive and controllable, and getting the voicing uniform and the balance between registers musical are more important than getting octave 7 crystal clear. I also realized over time that those "false" fast beats in the high treble serve a purpose. They allow the notes to reach to the back of the hall when an extremely clean stable unison would die out too soon. In fact, I think that this is the reason for the fourth string in Blüthners, though perhaps this isn't how the company thinks of it. The clarity in the normal three strings in the high treble of a Blüthner is remarkable -- too remarkable. They sort of go white and lose power from their beatless nature. Add in some dissonance from the strange bearing of the fourth string, and they sing and get their power back.

    So, I consider tuning and voicing in octave 7 (for me) to still be a work in progress.

    Hope all this chattering helps.

    ------------------------------
    Susan Kline
    Philomath, Oregon
    ------------------------------



  • 46.  RE: Building a Temperament

    Posted 06-07-2017 15:17
    Hello Susan

    Thank you very, very much! I very much appreciate all the time that you have spent in responding to me and sharing your own personal thoughts and hard earned experience! Thank you!

    I have printed your last two posts out and now I need to sit down and peruse them. There is a lot in them!

    I hope you have a good rest of the week Susan. Maybe speak soon.

    All the chatting helps very much!

    Thank you.

    Kind regards,

    ------------------------------
    Mark Davis
    Piano Tuner/Technician
    ------------------------------



  • 47.  RE: Building a Temperament

    Registered Piano Technician
    Posted 06-07-2017 22:58
    My goodness, Mark, you're very welcome.

    I think it's great that technicians from all over the English speaking world can meet here. Am I correct that you live in South Africa?

    My path in piano technology, just through luck of the toss, has been somewhat unusual. I like sharing some of the oddities, and especially I like sharing a few of my direct observations, which no one else seems to have noticed for themselves; or at least they don't seem inclined to talk about them.  And it would seem reasonable that there are more phenomena accessible from direct observations than the ones I've found. I'd love to hear about them.

    I think that noticing things directly is a lot more fun than blindly believing "tuners tales", assuming they are of course right because they have have been repeated from time immemorial.

    For instance, Jim Coleman, Sr. and Virgil Smith both talked about how playing two strings together gives a slightly different pitch than playing one string alone. Jim measured it, and the amount seemed small, if I remember right. However, if you pluck across three strings of a treble unison, and the strings are pretty well in tune, you may hear what I hear: the second string sounds a little bit higher than the first one alone, and the third string sounds even a little bit higher yet. ...... and THEN, try plucking all three the same way, but in the opposite direction. And I hear the same profile -- first string (right string, this time) slightly lower than the middle one, and the third string (the left one this time) slightly higher yet.

    And sometimes, from plucking, I'd think that the left string needs to come up a little bit, but if I move it down just a hair instead, the unison improves. I've never heard anyone talk about this.

    Please try this, someone, and see if you hear it the same way.

    If just a few people who (like me) are not suited to high volume ETD tuning as a professional plan can use my experience to design careers which they are capable of pursuing, the writing will surely have been worth the time. By the way, I write and type fast as spit. Most of the time spent comes from proof-reading twice, with slight editing.

    ------------------------------
    Susan Kline
    Philomath, Oregon
    ------------------------------



  • 48.  RE: Building a Temperament

    Posted 06-02-2017 17:33
    I guess what I had in mind with the infamous  Iverson Practice rant was tuning aurally itself, not finding a place to practice in private. My Dad has tuned aurally his whole life, and taught me every time I don't tune aurally is skipping practice. He calls aural tuning a practiced skill, in the process of actually doing it for your client. He claims every time he does aural tuning for a gig he learns something.

    Performing the repetoire is practice as well for performing repetoire. It is not someting you just do in a practice room. You actually have to perform to learn to perform. When it comes to aural tuning, you actually have to tune aurally at the gig to learn to aural tune. 

    That was my meaning.

    Maybe it is better to call what you began to talk about training or preparing. I am not sure it is actual practice.
    ------------------------------
    Benjamin Sloane
    Cincinnati OH
    513-257-8480
    ------------------------------



  • 49.  RE: Building a Temperament

    Registered Piano Technician
    Posted 06-02-2017 21:39
    Benjamin, I agree with your dad. One thinks of Malcolm Gladwell's 10,000 hours. By the time an all-aural tuner is approaching year 40, he or she  is well past 10,000 hours. The results differ in kind from learning aural tuning but then using it only now and then. One could think of daily tuning for money in a lot of different situations as being a hormetic stress, like working out regularly in a gym, or even just going for a morning walk.

    ------------------------------
    Susan Kline
    Philomath, Oregon
    ------------------------------



  • 50.  RE: Building a Temperament

    Registered Piano Technician
    Posted 06-03-2017 01:28

    Benjamin,

    The piano you have to work with, the Baldwin Acrosonic is a problem in itself but you don't have to let it be if you have some understanding about it.  It is what is known as a "short scaled" piano.  Take that to mean a compromised scale.  Basically stated, what works on larger, less compromised scale pianos, simply will not work on the Acrosonic but you still can get an accurate version of Equal Temperament on it if you go about it the right way.  Amazingly, what I am about to show you will also work on any kind of piano because it works somewhat like the Jack Stebbins idea of letting the piano itself tell you what is right for it.

    I am impressed with your idea of wanting to create your own sequence, one that works for you and I fully imagine that the reason may be that nothing has yet, especially on the Acrosonic.  No counting of beats, no 4ths & 5ths sequence ever ended up being what it is supposed be.  There was always a dilemma, some kind of unsolvable problem, perhaps that you blame on yourself but it is not really your fault. One of the reasons is that the information provided in older books is all about theoretical beat rates. There are two problems with that:  One: the inharmonicity profile of any piano dictates that those theoretical rates are not exactly correct and never can be.  Two: nobody on this earth could ever accurately "count" those beat rates even if they were!

    Nobody can really "count" 7 beats per second with all that much accuracy.  Yes, very experienced technicians seem to know what sounds right on the piano they are tuning and they have been doing it for so many years that they really do get it right but it never really is exactly 7 beats per second and particularly not on the Acrosonic.  It probably is closer to 6 but forget about actually trying to count that or using any silly word phrases because of course, it depends upon how fast you actually say those words.  People who use that kind of technique have something planted in their mind that is a reasonable estimate and there is nothing more to it than that.

    That leads to the point I will make with what I am about to show you and it is the very same idea that Jack Stebbins has:  All you really need is a reasonable estimate to start.  I know that you want to try to find a sequence that works for you, so I will not propose one because that is what you want to create.  That being said, a truly correct tuning in Equal Temperament must have a solid foundation.  That is what I would like to help you with establishing.  From there, you can take it as you choose.

    This will admittedly be the most difficult part of the job as are many tasks:  build the foundation first, the most difficult and tedious part but then the rest is far easier.  The foundation I am talking about is the initial chain of Contiguous Major Thirds (CMT) from F3 to A4.  Notice that I did not say simply the three CMT's within the F3 to F4 octave but also a fourth one, F4-A4.  That last one becomes the critical judge for the three below it.  Without it, you could have almost anything that may sound plausible but F3, A3, C#4 and F4 would inevitably all be incorrect to some degree or another.

    Oh, I know, you may have heard about that and tried it and it didn't work for you and you may have had difficulty "hearing" the beats and perhaps you don't think you could just "pull thirds out of thin air like that" [as some seem to think this is what it is about] but it is not about actually tuning Major Thirds beyond the first estimate that you make. If you study what I show you below, you will find the proper beat rate for not only F3-A3 but all the rest in that foundation without any guessing!  The four sets of CM3's will either all fit or they won't and I will show you what to do if they don't.

    The following is an excerpt from an article I have been working on but has not yet been published.  It has been my task for the past 14 years to help PTG Associates who wish to take and pass the PTG Tuning Exam and this is from that material:

    Tuning a Chain of Initial Contiguous M3's in Equal Temperament

    The 4:5 ratio of beating of any two Contiguous Major Thirds (CM3) is a small difference.

    1. Tune A4 to an A-440 pitch source.
    2. Tune A3 to A4 as a 4:2 type octave. Use the test note F3.  For an explanation of the test note, see the instructions in step 3 of the Equal Temperament via Marpurg Sequence on page 7.  [I'll include that explanation below]. The test note for a 4:2 type octave is the note which is a M3 below the bottom note of the octave.  It must form a conveniently heard wide M3 with the bottom note of the octave to be effective.  When both the F3-A3 M3 and the F3-A4 M10 beat equally, the octave is proved to be a 4:2 type.  Try also playing all three notes together after determining that the rapidly beating intervals beat equally.  If a very slow beat can be heard to emerge, it will mean that the M3 and M10 are not quite equal. [This is an example of how you can use truly equally beating intervals to help you].
    3. Estimate the approximately 7 beats per second of the F3-A3 M3. ["Estimate" means merely that you tune a moderately rapidly beating Major Third, neither too sweet nor too "sour" sounding.  Make it sound like what you think it should sound like and that will be close enough at this point].
    4. Tune F4 from F3 as a 4:2 type octave. Use the test note C#3.
    5. Try to fit C#4 between A3 and F4 so that the two Contiguous Major Thirds (CM3) which are formed have a 4:5 ratio of beating between them. If C#4 cannot be properly placed, sharpen or flatten both F3 and F4 as needed.  (See step 7 for further explanation). Remember to use the test note C#3 each time to insure that the F3-F4 octave is a 4:2 type.  Adjust C#4 if necessary.
    6. There will now be a chain of four CM3's: F3-A3, A3-C#4, C#4-F4 and F4-A4.  Play all of these in legato (smooth and connected) fashion. Play in both ascending and descending patterns.   No two CM3's may beat the same.  If any do, it indicates a small error.  If any two have the lower M3 faster than the upper, it indicates a larger error.
    7. The top F4-A4 M3 beats very rapidly (approximately 14-15 beats per second). It literally sounds like it is at or near the limit of discernibility so the only time you will need to listen to this interval is in this test.  It sounds like a "buzz". [Nobody could ever really count those beats].   If it beats so fast that it sounds "sour" or beyond the point where you can discern the beats, it is too fast.  In that case, the C#4-F4 M3 below it will inevitably beat much more slowly.  This cannot be a 4:5 ratio, which is a small difference.

    On the other hand, if the F4-A4 M3 beats gently and can easily be heard, it is too slow.  In this case, the C#4-F4 M3 below it will inevitably beat equally to it or faster which is not proper and will indicate anywhere from a small to larger error.

    There is one simple and steadfast rule:  If the top F4-A4 M3 is too fast, then the bottom F3-A3 M3 is too fast.  If the top F4-A4 M3 is too slow, then the bottom F3-A3 M3 is too slow.

    This gives you an easy clue as to how to correct an arrangement that is not quite proper.  If the top interval is too fast, then you must sharpen both F3 and F4, which will narrow both M3's and thus make them beat more slowly.  If the top interval is too slow, then you must flatten both F3 and F4, which will widen both M3's and thus make them beat more rapidly.  In some cases after this correction, C#4 will fit as it was but most of the time you will also have to adjust C#4 very slightly to get a smooth chain of CM3's.

    Once there is a solid chain of Contiguous Major Thirds from F3 to A4 established, there will be a very reliable foundation from which the rest of the temperament and midrange of the piano can be constructed.  There are many sequences that can accomplish this [including the one that you may design yourself].  [Just take a look at what you have with this foundation:  You have five "anchor notes" which are highly reliable.  From any of them, you can attempt a 4th or 5th.  If you did that, you would already have some progressions you could check and do a little adjusting of necessary.  You would only have G3, B3 and D#4 remaining to fit in.] 

    Keep in mind that virtually no sequence will yield perfect results the first time, every time.  Whatever you decide upon, leave the expectation that you will have to go back through it, using all of the various checks that you know to improve it.  Before you move any note, prove to yourself with at least one, preferably two or three other checks that it will result in an improvement.  You don't want to make one interval sound better at the expense of three or four others.

    One technique that examiners use that always seems to work even though it may seem counter intuitive, is to assume that all other notes are correct with respect to the note you are considering either sharpening or flattening to improve its position within the scale.  If to either sharpen or flatten it will not make any other intervals sound better, then don't move it, at least not yet.  A Major third may sound too slow or a 5th may be obviously beating but remember that either one could be improved by moving either the top or bottom note and sometimes both of them.

    Explanation of the test note:

    The test note is defined as an untuned note that merely serves as a reference. It however cannot be very far off from its ultimate pitch to be effective.  Therefore, if attempting or practicing for the PTG tuning exam or using this sequence to tune a piano which is any more than very slightly off pitch, the test note must be moved to what is known as a convenient position.  That is, it must be approximately tuned first.

     

    Summary Sequence for Tuning the Initial Chain of Contiguous Major Thirds

    1. Tune A4 to an A-440 pitch source.
    2. Tune A3 from A4 as a 4:2 type octave.
    3. Estimate the F3-A3 M3 at approximately 7 beats per second.
    4. Tune F4 from F3 as a 4:2 type octave.
    5. Place C#4 between A3 and F4 for resultant M3's, A3-C#4 and C#4-F4.
    6. If the C#4 does not fit, adjust both F3 and F4 sharper or flatter so that it can.
    7. Test all four CM3's ascending and descending several times in order to find and correct any small error.

    The idea for the use of CM3's is attributed to Oliver C. Faust in the early 20th Century.  He was a contemporary of Dr. William Braide-White and Cree Fisher whose books were more widely read but did not include the concept. There were earlier theorists such as 18th Century Friedrich Wilhelm Marpurg who also thought of the idea of dividing the octave into three equal parts but not that CM3's would have a 4:5 ratio of beating.  The concept had virtually vanished from later 20th Century tuning practice until it was revived by such PTG laureates as Dr. Al Sanderson RPT, William Garlick RPT, Jim Coleman Sr. RPT and Rick Baldassin RPT.  Today, it is considered an essential practice by many skilled aural tuners.



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    William Bremmer
    RPT
    Madison WI
    608-238-8400
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  • 51.  RE: Building a Temperament

    Registered Piano Technician
    Posted 06-03-2017 05:20
    Benjamin, regarding finding pianos to practice on. First of all I suppose a distinction should be made between practicing laying in a temperament and experimenting to find/invent your own sequence. It shouldn't be difficult to find pianos to perfect laying in an aural temperament. As I mentioned, you can spend a little time on the pianos you're tuning out in the field to run through a sequence 2 or 3 times before you fire up your ETD and you can also check your ETD work against the aural checks (you might be surprised!). But also I should think that piano dealers or possibly a church with a decent piano would be willing to let you come in and hone your skills as long as you finish off or check your work so that you're leaving the piano in at least as good condition as you found it, using your ETD if necessary. 

    Tuning a good piano weekly will greatly improve the stability of the instrument (this goes for your client with the Kawai concert grand as well). Tuning pianos that are tuned perhaps once or twice a year generally are going to be 2.5 to 10 or more cents off. A good piano that is tuned weekly will probably settle in at less than 2 cents, when pianos are this close there is very little or no actual movement of the pin in the block and so minimal wear. As Susan says, ideally for a really fine tuning on a piano one isn't moving the pins much at all, polishing is a good way to put it. And this is where you can really hone your skills laying in a temperament, getting fluent with the tests, and extending that across the full compass of the instrument without pitches moving on you all the time.

    All of the methods described so well above will yield similar results, the important thing is to become fluent in a sequence of checks so you can quickly move about and pinpoint problematic notes. I use 4ths and 5ths to tune the notes and then check the results using 3rds (6ths and 10ths), some people do the  opposite. Once a section or the whole piano is done there are chord progressions to listen to for notes that stick out, in a sense I suspect everyone has invented their sequence when looked at as a whole. You mention that, at this point you can hear 5ths well, if you're looking for a system that doesn't involve the faster beating intervals, I doubt you will come up with one. The important skill to develop is to be able to hear and  compare relative beat rates as they progress up and down the scale and attaining a fluency with the different interval checks so that you can hear when they are all interlocking nicely. Part science part flower arranging indeed. It will give you a confidence in knowing that an instrument is in tune rather than relying on a machine that tells you it is in tune, because you can physically demonstrate it aurally you really know it is tune. Also you can identify inherant weaknesses in a given instrument and intelligently come up with work-arounds. Machines are generally slower in these processes than a well trained ear.

    On the opposite end of the spectrum, in my early years I did a heck of lot of pitch raising and while that didn't involve these delicate tests for the most part, I think it did a lot to develop my ear a great deal. Your original question was how to improve your aural skills. Stringing and chipping pianos helped a lot as well, if you have a colleague who's restringing, they will probably be delighted to allow you to tune the piano to your hearts delight. Pulling a piano up from nowhere into tune is tremendous ear training and great for hammer technique as well.

    There's certainly no reason why you can't do the first pass of a two pass tuning by ear for your customers. It's a different process than using an ETD, you have to backtrack a lot but for me it takes about the same amount of time. You can use your ETD to hear what the relative overpull sounds like in the octaves and then do it by ear. This might slow you down at first when your working in the field but you should consider that an investment. When I incorporated an ETD into my work after 32 years of straight aural tuning it added a half an hour to my tuning time for about 2 years till I really learned how to use/trust the machine, much more costly than the cost of the program and device. 

    Both Sloane and Susan brought up the notion of exercise. Learning aural tuning skills is a process of physical entrainment as much as it is an intellectual exercise. It's easy to talk about ratios etc. but something I learned early on is that you can't tune what you can't hear and that requires developing the physical skill of listening and a great deal of patience. 

    Piece of cake. ; }


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    Steven Rosenthal
    Honolulu HI

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  • 52.  RE: Building a Temperament

    Registered Piano Technician
    Posted 06-03-2017 21:55
    Good ideas about extending the stack of major 3rds, Bill.

    I can do okay with the single F to F octave, but it's because I've done it for so many years. Adding the A4 does improve the process.

    On a related but slightly different topic, I just found a YouTube which speaks to what I call "tuners' tales", conventional wisdom handed down for generations from one piano technician to another, till someone figures out that the received wisdom is simply wrong.

    Here's an excellent British market gardener talking about the same phenomenon as it applies to garden mythology.

    Garden myths that take our time
    YouTube remove preview
    Garden myths that take our time
    I ask why its recommended to garden in ways that take longer, or using methods that give less harvests. An introduction to my book which looks at 99 myths. Filmed and edited by Edward Dowding https://edowding.net while Gardening Myths and Misconceptions is available at http://www.charlesdowding.co.uk/product/gardening-myths-and-misconceptions/
    View this on YouTube >
    Regards,




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    Susan Kline
    Philomath, Oregon
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  • 53.  RE: Building a Temperament

    Posted 06-03-2017 03:31
    IN a gig watch out for snare drums vibrating sympathetically!                             Michael                UK





  • 54.  RE: Building a Temperament

    Posted 06-04-2017 12:09
    King James take on the Iverson Practice Rant

    LeBron Pays Homage to Allen Iverson's "Practice"
    YouTube remove preview
    LeBron Pays Homage to Allen Iverson's "Practice"
    Dwyane Wade asks when LeBron James will be ready to practice. Visit nba.com/video for more highlights. About the NBA: The NBA is the premier professional basketball league in the United States and Canada.
    View this on YouTube >


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    Benjamin Sloane
    Cincinnati OH
    513-257-8480
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  • 55.  RE: Building a Temperament

    Registered Piano Technician
    Posted 06-07-2017 00:50

    "You'd think that heavy slapping and tapping and whacking a tuning hammer with an open hand would lead to injury, but it doesn't seem to hurt me. I'm 71, have tuned for nearly forty years, and have fibromyalgia and arthritic knees and general muscle soreness in the background of everything I do, but my hands, wrists, elbows, and shoulders are really just fine. I do not get more sore from tuning, thank heavens."

    I don't know about the fibromyaglia part but it may just be that it has not yet been diagnosed.  I agree totally.  Every other part of my body is failing and painful except my hands and forearms and I am thankful for that. Thank you for the kind comments about the Contiguous Thirds, Susan.  Jim Coleman, Sr., as well as the man he used to give dual presentations with, George Defebaugh, were the people who first opened my eyes and ears to practical methods and techniques which could really work for me when I attended my first Convention in 1979.

    I had tried taking the tuning exam as it was at the time in 1978 (the "good old boys exam") with the truncated Braide-White 4ths & 5ths sequence I had learned from the American School of Piano Tuning but it was deemed to be "Apprentice" level at the time which really bugged me.  But after I saw that one class, a lot of which escaped me but I guess enough retained, there I was, only three years later in late 1982, qualifying to be an RPT and an examiner trainee with all scores above 90.

    As I see it, it's all about a method, one or the other but one which works for the individual.  It took me 8 years to be actually certified as an examiner, most of that time not actively in pursuit of the goal because I was told that if I wanted to be certified, I would have to purchase and learn to use a Sanderson Accu-Tuner.  At first, I was not interested. It was just so foreign to me!  I had learned to control the sound I was after by hand and ear coordination, not by hand and eye coordination!

    I finally purchased an SAT II sometime in the late 80's and tinkered with it when I could but it was so frustrating to me to learn how to use it.  It sat on a shelf for months at a time before I would ever pick it up again and try to work with it.  I could simply tune by ear much more efficiently.  Even when I re-entered examiner training, I did not know how to use its calculated program.  When I finally did, I found it to be basically something I had to correct by ear because it never was entirely correct.  Even today, upon the rare occasion that I use the calculated program, I know that I must follow it with aural verification and inevitable correction.  I still never tune the wound strings of any piano using an electronically calculated program, I only tune them by ear.  What any calculated program, even those which purport to sample virtually every string's inharmonicity and create a tuning curve for it on a short scaled piano, sound to me like a joke.  They are never right.

    Oh yes, you have to know how to manipulate such a platform to get what you want out of it and I would agree that if you do know how to do that, you can get something much better.  But how many users today really do know how to do that?  How many simply go with a default program and do not know anything better than that?

    I have found that the treble and high treble calculated tunings often provide something very close to what I would do through Direct Interval measurement of the piano's own characteristics but it is always, here and there, something that needs correction to be totally right.  The calculated program is always just a bit "sloppy" compared to what aural tuning or Direct Interval measurement (both being equal to each other), can do.

    Yet today, we have so many technicians totally dependent upon an electronic tuning platform of one type or another and claiming them all to be superior to aural tuning.  Anyone who has ever used such a program to put a preliminary tuning on a piano before a PTG Master Tuning session knows that it will most likely take 4 hours to sort out the inaccuracies of virtually any electronically calculated program, even when the most advanced platforms are used.

    Technicians have resigned and others never joined PTG over the issue.  They write angry e-mails to each other about it.  It will be interesting this time in Council where I will be as a Delegate to see what comes up regarding governance. I'm afraid that the electronic tuning side will eventually win the battle and it will mean lower standards for what it takes to be an RPT.  I truly hope that will not happen but I am afraid it will and that aural tuning skills and standards will decline rather improve.



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    William Bremmer
    RPT
    Madison WI
    608-238-8400
    ------------------------------