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Top treble stretch? Inharmonicity . . . or our ears?

  • 1.  Top treble stretch? Inharmonicity . . . or our ears?

    Posted 20 days ago

    Hi!

    Happy Easter!

    I'm preparing a seminar for the UK PTA and was fiddling around with online frequency generators. For fun 

    is really interesting.
    Open the page in two tabs or windows in your browser.
    Set one to sound 440
    Set the other to 440 and use the > button to increase the frequency. Hear the beats. Go to the sine tab further along to change the upper frequency from sine to triangle. The 3rd harmonic comes in. 
    At 506 for instance it's horrible but 513 gives an undertone starting to appear, and at 520 it's sounding nice although I don't see why it should. We can hear the undertone going lower as we get to 528 and when we get to 550 the undertone is in tune and, importantly, gets louder.
    Now go right to the note selector and press Db/C# which will take you to all ET notes. Press C#5 and hear the undertone shift to be out of tune. That's our standard industry-wide tuning.
    Then there's another phenomenon of importance and this relates to stretch in particular.
    With the one page still generating A440 with the other go to A6. It's in tune.
    Go to A7 and it's flat. Go to A#7 and it's sharp. Go to A4 then go to A#7. A#7 is more in tune then than A7. Go back to A4. A8 then is flat. A#8 is happier. 
    So is top treble tuning really about inharmonicity? Is it more about our own ears and perception of pitch, nothing to do with the piano. This is why in the C6-C7 region I often feel that a tuning is flat even when one's tuned it properly to the 2nd partial and instead simply go for the maximum stretch setting on my machine - and why I feel that many ETD apps are simply too complicated and clever! Were I to tune the top octave properly to the 2nd partial of the lower octave, I'd regard it as flat. But that's where one can hear it audibly resonating rather than to the 4th partial of two octaves below, and duplex scales add muddle well to the equation.
    Best wishes
    David P


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    David Pinnegar BSc ARCS
    Hammerwood Park, East Grinstead, Sussex, UK
    +44 1342 850594
    "High Definition" Tuning
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  • 2.  RE: Top treble stretch? Inharmonicity . . . or our ears?

    Registered Piano Technician
    Posted 19 days ago

    I always found that in the highest octave I could tune three different ways, each of which sounded OK under the correct circumstances:

    Tuning with octaves with both notes played simultaneously.

    Tuning with octaves with both notes played in sequence.

    Tuning with arpeggios.

    Each of these produced a different tuning which may or may not sound appropriate depending on the music or performer.

    Now I tune with perfect 12ths and let the notes fall where they may.  No one is complaining.



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    Blaine Hebert RPT
    Duarte CA
    (626) 390-0512
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  • 3.  RE: Top treble stretch? Inharmonicity . . . or our ears?

    Posted 19 days ago

    Hi Blaine

    What arpeggios did you use for tuning the treble and was it done with one hand?  I take it that the stretch is greater/wider when tuning with arpeggios than when tuning an octave with both notes being played in sequence?

    Are you using P12s so that the M6 is slightly faster than the M17 or where the M6=M17?



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    Mark Davis
    South Africa
    mark071975@gmail.com
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  • 4.  RE: Top treble stretch? Inharmonicity . . . or our ears?

    Registered Piano Technician
    Posted 19 days ago

    I use a lot of M6s in the low tenor and bass, but M6 gets too fast in the treble for me.  I like to match my 5ths and octaves up into the treble and check with 12ths, though I wouldn't always call them perfect.  Some pianos give me perfect double octaves, some give me perfect triple octaves.  In the high treble we fight false beats, so I do my best with 5ths, 12ths, single, double and triple octaves.

    Whatever works.  Whatever satisfies the customer.



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    Blaine Hebert RPT
    Duarte CA
    (626) 390-0512
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  • 5.  RE: Top treble stretch? Inharmonicity . . . or our ears?

    Posted 17 days ago

    Thanks Blaine, sounds like my experience with tuning.



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    Mark Davis
    South Africa
    mark071975@gmail.com
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  • 6.  RE: Top treble stretch? Inharmonicity . . . or our ears?

    Registered Piano Technician
    Posted 18 days ago

    "So is top treble tuning really about inharmonicity? Is it more about our own ears and perception of pitch, nothing to do with the piano?"  Many years ago, we had a large gathering at a chapter meeting.  The question was posed by the lecturer as he played an A chord in the treble section around A4, and then stopped.  "Is this note sharp or flat?" as he played A6.  He tuned the A6 up or down until everyone was more or less satisfied with it.  When he played the chord and A6 simultaneously, it was obvious that A6 was way too sharp.  There is a psycho-acoustic effect in our hearing that we like to hear a single note played by itself at a pitch that is much higher than what we like to hear when all the notes of a chord are played.  Thus, we have found that more stretch in the treble seems to be a little more pleasing.  If you sharpen everything too much, you can't play the chords up there.  They beat profusely.  But if you hit those high notes only occasionally, it sounds good.  Does it have to do with inharmonicity?  I'm sure it has something to do with it, but I'm not exactly sure why.  We hear things musically in different contexts.  Maybe some of you who are musicians, composers and arrangers could shed some more light on this.



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    Paul McCloud, RPT
    Accutone Piano Service
    www.AccutonePianoService.com
    pavadasa@gmail.com
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  • 7.  RE: Top treble stretch? Inharmonicity . . . or our ears?

    Registered Piano Technician
    Posted 17 days ago

    I've been experimenting with the Tunic OnlyPure app lately. About a year ago Pat Draine demonstrated this app at our chapter, tuning a B on stage using OP "out of the box" (which is basically the only way at least at that time).

    Of course we're talking ET here, and as we analyzed it we found it to be extremely good...nearly flawless. In the treble though, we found A LOT of stretch going on. In fact by time we reached C8 we were measuring between 40 and 50 cents sharp (compared to a 2:1 style of tuning). To me as a tuner I called it "outer space", however, when I played music on it, it sounded GREAT! 

    As I get used to using OP (for ET of course) I am letting it do it's thing as it wants, and of course I am stretching these octaves up there way beyond what my ear (remember I'm still an aural/analog tuner) would normally shoot for (and that's saying something), but in the final  analysis, playing music on it confirms that it's very good...shockingly good!

    I don't know how Stopper's algorithms work, but he seems to have figured out something that works quite well on a very many instruments.

    Peter Grey Piano Doctor 



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    Peter Grey
    Stratham NH
    (603) 686-2395
    pianodoctor57@gmail.com
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  • 8.  RE: Top treble stretch? Inharmonicity . . . or our ears?

    Posted 17 days ago
    Hi Paul and all for thoughts on this and for practical solutions.

    However, the exercise I posed was independent of strings:

    With https://www.szynalski.com/tone-generator/

    Open the page in two tabs or windows in your browser.
    Set one to sound 440
    Set the other to 440
    Now go right to the note selectorand with one page still generating A440 with the other go to A6. It's in tune.

    Then go to A7 and for me it's flat. Go to A#7 and it's sharp. Go to A4 then go to A#7. A#7 is more in tune then than A7. Go back to A4. A8 then is flat. A#8 is happier. 

    People have mentioned beats but are the beats up there really important in the music as performed?

    Is there is a disconnect between the received training of the technician and beats drummed into the aural tuning world and the music for which the instrument is to serve? When I'm listening to a performance involving top octaves, I'm not listening to the beats but to the notes and the music. Are chords really relevant in the top two octaves in what is performed?

    One test is in duet work where for instance https://youtu.be/RXymuml03pE?t=2284 is an example. 

    Another cause of top octaves sounding flat is the Weinrich effect where the the three strings become flat compared to a single string "correctly" tuned.

    Best wishes

    David P 


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    David Pinnegar, B.Sc., A.R.C.S.
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    +44 7868385643





  • 9.  RE: Top treble stretch? Inharmonicity . . . or our ears?

    Registered Piano Technician
    Posted 17 days ago

    Are chords really relevant in the top two octaves in what is performed?

    Yes. See Tedesco's Fantasia for instance.

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  • 10.  RE: Top treble stretch? Inharmonicity . . . or our ears?

    Registered Piano Technician
    Posted 17 days ago

    David --

    The tone generator link is using simple x2 math for octaves. Mathematically the tone it is generating at A7, at 3520Hz, is exactly three x2 octaves above A4, at 440Hz. Therefore, using this tone generator, there are no beats when playing A4 and A7 together at the same time. If, however, you are comparing the A7 of the tone generator to the A7 on your piano, of course the tone generator is going to sound flat, and there are going to be beats. The A7 on your piano is at a higher frequency due to temperament, stretch, and inharmonicity. 



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    Geoff Sykes, RPT
    Los Angeles CA
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  • 11.  RE: Top treble stretch? Inharmonicity . . . or our ears?

    Posted 16 days ago
    Hi Geoff!

    :-) Yes - of course I seem stupid ;-) but I'm not comparing these frequencies of the generator with notes on the piano which can be affected by inharmonicity. I'm listening to the raw frequencies generated by the tone generator and noting that my ears seem to want the frequencies to be higher than the 2:1 ratio of what we call octaves. 

    This leads to questioning whether tuning the top two octaves to the 2nd partial of the octave below or even 4th partial of the octave two octaves below is satisfying. Using my CTS5 ETD I'm using maximum stretch which takes my top octave tunings higher than the aural tuning from lower partials below, and still tend to find a flatness in the 6th octave in particular. 

    It's for this reason I'm personally finding the tone generator frequencies fascinating and potentially how my own hearing might be faulty.

    Compared with A6 the generated frequency of A7 at 2:1 is flat to my ears. This is a hearing issue rather than a piano inharmonicity issue. Is it just my ears above 1500Hz or so or is it a general issue? If the latter it raises questions about assumptions we make in tuning the top two octaves.

    Best wishes

    David P
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    David Pinnegar, B.Sc., A.R.C.S.
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    +44 7868385643





  • 12.  RE: Top treble stretch? Inharmonicity . . . or our ears?

    Registered Piano Technician
    Posted 16 days ago

    David --

    In no way did I want to imply you are stupid. Fortunately your winking emojis tell me that you already understand that. Thanks. 😉

    As we age everyone, especially men, suffers from hearing loss due to presbycusis. The loss of the tiny hairs in our ears that detect sounds. High frequency sounds are the first to go because the hair cells that detect them are nearest the opening of the ears and subsequently get damaged first. They are near the opening of the ears because high frequencies have much less power than lower frequencies and would diminish in power quite quickly as the sound wave travels in our ears. 

    Many years ago the Los Angeles PTG chapters held a meeting at the House Institute of Hearing. One of the things we learned was that hearing is so important to our survival that the brain really wants to hear everything it can. However, it doesn't really care what the frequency it's interpreting is. It just wants to hear the sound, any sound, as a warning. As a result, when hair cells die off, the brain starts using the hair cells closest to them as a backup. That means that if the hair cells for, say, A7, (3520Hz), die off the brain may start using the hair cells for 3521 or 3519 just so it can hear something. Anything. It doesn't care if it may sound flat or sharp. It just desperately wants to hear something in that area. 

    Not that many years ago, I attended a presentation on hearing perception at a PTG convention. I apologize for not remembering the name of the person who did the presentation. One of the things he demonstrated to us is that each of our ears hears things differently, even though the brain processes them as being the same. As an example he had a collection of tuning forks set out for us. All of them tested to be accurate at C4. When we held two of them up to our ears at the same time, one on each side, they both sounded the same and there were no beats. However, if we just took one of them and listened to it with one ear and then the other, there was a definite difference in tone. Everyone there experienced one ear as sharp and the other flat by comparison. But heard together, one on each ear, our brains interpreted them as the same. 

    Fletcher Munson demonstrates that high and low frequencies sound different at different loudness levels. At lower levels, bass sounds may be sharp while treble sounds may be flat. As you increase the loudness both of these extremes tend to flatten out. 

    I get the occasional call from a customer whose previous piano tuner was no longer available. And when I show up I can usually guess that the reason the previous tuner was no longer available is because they retired because they could no longer hear the high treble notes. And I discern this by finding the top treble notes being pulled extraordinarily sharp. Sometimes to the point that I'm surprised they weren't breaking. 

    All this to ask, when was the last time you had your hearing checked? 😉



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    Geoff Sykes, RPT
    Los Angeles CA
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  • 13.  RE: Top treble stretch? Inharmonicity . . . or our ears?

    Posted 15 days ago
    Hi Geoff

    Thanks so much and for taking the time to detail this so well.

    At present my hearing is cutting off at around 8-9kHz and I suffer permanent high frequency tinnitus. However I'm sure I'm not the only tuner around to be in this sort of situation.

    If others might try the experiment with the frequency generator it really would be interesting to see how many of us share the experience. 

    Becoming aware of flattening in piano sound around C7 I've become conscious increasingly of the dangers increasingly and taken special precautions which on https://www.youtube.com/watch?v=AHAZjcPmtrs a few years ago seem to have been successful in the first Mozart duet for two pianos with one commentator on the video referring to crystal clear high notes. Specifically recording concerts for which I tune leadsincreasingly to being self critical and the Liszt https://youtu.be/TNWZURKpzPE?t=2145 Après une lecture de Dante is an enjoyable test and better than a couple of years ago https://youtu.be/aIVUyu7v48U?t=1916

    The last note of https://youtu.be/p4NpeoNpDOA?t=4392 is a test of top treble chords.

    On the same instrument as these recordings https://www.youtube.com/watch?v=zQJElylURVQ demonstrates the flattening of the Weinrich effect if one's simply tuning one string accurately and then tuning the other two to that one, without then going back to correct the whole note. So it's not just my ears. 

    If I have time I take the luxury of noting how flat the note is having tuned the strings as individual, and then tune the strings sharp by the equivalent amount to bring the note to sound in tune. 

    Best wishes

    David P

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    David Pinnegar, B.Sc., A.R.C.S.
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    +44 7868385643