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I have done some experiments with say a 4:2 octave tuning in the midrange based on 1) inharmonicity data on all strings and 2) an abstracted inharmonicity model smoothing out all irregularities and found 2) to be superior aurally. So it may be better to ignore beat deviations in favor of a smooth tuning.
Getting off topic here, sorry.
Kees
Good to hear that! As I wrote in an earlier thread, my logic told me that this was one of the reasons to go for RCT instead of VT.
Patrick Wingren, RPT Wingren Pianistik https://facebook.com/wingrenpianistikConcert Tuner at Schauman Hall, Jakobstad, Finland Musician, arranger, composer - - - - Dedicated to learning the craft of tuning. Getting better.
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But if we leave that open for a while, we still need to avoid beating 5ths outside the temperament. For that I suspect we'll need the aural output of different pianos. That is why I'll try to get the Hellas numbers aurally verified. One could argue that it's a bad instrument, and one would be perfectly right Still, although this piano is a national "treasure", similar instruments are found all over the world. We, for example, do not have spinets at all in my country, but I'd think their numbers will differ noticeably from a Steinway D As Bill has noted a few times the worse the piano the more it benefits from an unequal tuning, so I agree trying it on average Joe type pianos is crucial. Kees
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Kees, Bill, and others, Here is a video where of me nitpicking the Hellas' center strings tuned to Kees numbers. This is, if anything, even closer than the Yamaha C5. The main thing that (according to me) needs to get solved is the stretch right beneath the lowest notes of the temperament (F3). Here is the video file: nitpicking Kees' EBVT III for Hellas Helsinki, 2011-04-04
Last edited by pppat; 04/05/11 07:40 AM. Reason: correcting typos
Patrick Wingren, RPT Wingren Pianistik https://facebook.com/wingrenpianistikConcert Tuner at Schauman Hall, Jakobstad, Finland Musician, arranger, composer - - - - Dedicated to learning the craft of tuning. Getting better.
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Pat:
I'm pleasantly surprised. So many people have told me tunelab's inharmonicity model has nothing to do with reality and can not possibly produce a tuning up to aural standards especially for real-world crummy pianos that I almost believed them. Your results prove otherwise. (I almost sound like Bill here...)
I did not change anything compared to the Yamaha C5 tuning, just so we don't work on a moving target. Your comments on the stretch below F3 are noted but I won't take corrective action yet.
Below the tuning for the U3. Again I changed nothing, except now the initial F3A3 beat rate is computed not as 6/6.9 * bpsET, with bpsET the ET beat rate computed from a simulated contiguous thirds setting starting with a 6:3 A3A4 octave, but by using the EBVT via Marpurg sequence. In the case at hand (U3) the difference is a 0.1 bps slower beating F3A3.
Though the Hellas Helsinki is crummy by your standards I like the woolly sound of it. We should try it on the worst spinet you can find too.
Next step is aural verification on the U3, then we should check the bass and treble. I have an option in my program to have the extra stretch option in the low bass and/or high treble, implementing Bill's optional extra stretch instructions, which is currently in the "NOT" position. It came rather close to GPM's super stretched bass tuning, for which he kindly provided me with the figures.
Kees -- A0 4 0.0 -33.73 A#0 4 0.0 -28.49 B0 4 0.0 -28.24 C1 4 0.0 -22.53 C#1 4 0.0 -22.13 D1 4 0.0 -20.49 D#1 4 0.0 -17.73 E1 4 0.0 -18.29 F1 4 0.0 -13.18 F#1 4 0.0 -14.01 G1 4 0.0 -11.24 G#1 4 0.0 -10.94 A1 4 0.0 -11.33 A#1 4 0.0 -8.28 B1 4 0.0 -9.73 C2 4 0.0 -1.50 C#2 4 0.0 -2.98 D2 4 0.0 -2.41 D#2 4 0.0 -1.35 E2 4 0.0 -3.07 F2 4 0.0 0.36 F#2 4 0.0 -1.49 G2 4 0.0 1.05 G#2 4 0.0 -0.14 A2 4 0.0 -0.44 A#2 4 0.0 1.23 B2 4 0.0 -0.70 C3 4 0.0 2.21 C#3 4 0.0 0.32 D3 4 0.0 1.66 D#3 4 0.0 2.05 E3 4 0.0 0.50 F3 4 0.0 2.37 F#3 4 0.0 0.67 G3 4 0.0 4.09 G#3 4 0.0 2.13 A3 4 0.0 1.56 A#3 4 0.0 4.47 B3 4 0.0 2.13 C4 2 0.0 3.43 C#4 2 0.0 -1.19 D4 2 0.0 0.91 D#4 2 0.0 1.78 E4 2 0.0 0.05 F4 2 0.0 2.37 F#4 2 0.0 0.26 G4 2 0.0 3.24 G#4 2 0.0 2.13 A4 2 0.0 1.70 A#4 2 0.0 3.39 B4 2 0.0 1.57 C5 1 0.0 3.98 C#5 1 0.0 1.84 D5 1 0.0 3.07 D#5 1 0.0 2.94 E5 1 0.0 1.85 F5 1 0.0 3.81 F#5 1 0.0 1.75 G5 1 0.0 5.37 G#5 1 0.0 2.13 A5 1 0.0 2.94 A#5 1 0.0 4.89 B5 1 0.0 2.92 C6 1 0.0 6.10 C#6 1 0.0 2.91 D6 1 0.0 5.64 D#6 1 0.0 5.72 E6 1 0.0 4.87 F6 1 0.0 7.12 F#6 1 0.0 5.43 G6 1 0.0 9.51 G#6 1 0.0 8.30 A6 1 0.0 9.16 A#6 1 0.0 10.43 B6 1 0.0 9.51 C7 1 0.0 13.37 C#7 1 0.0 12.00 D7 1 0.0 15.23 D#7 1 0.0 14.41 E7 1 0.0 15.21 F7 1 0.0 18.19 F#7 1 0.0 17.30 G7 1 0.0 21.92 G#7 1 0.0 20.03 A7 1 0.0 23.24 A#7 1 0.0 25.83 B7 1 0.0 26.12 C8 1 0.0 30.70
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If you want another piano to try, I'm game. Here's Tunelab data from my 5'2" 1918 Chickering: IHCon C1 0.555 IHCon C2 0.287 IHCon C3 0.331 IHCon C4 0.385 IHCon C5 0.684 IHCon C6 1.521 I'm not an EBVT expert like Patrick, just another tuner who has done it aurally and like it, though I haven't switched from ET wholesale. Also use Tunelab. But if you're looking for specific things, I may be able to help. As to coding, I have plenty of side projects these days, so no promises Kees, I don't have Matlab, is your code portable to the free alternatives, Octave, FreeMat, or Scilab?
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Jim:
Below your tunelab EBVT3 file. The code is not portable as of now as I use the MATLAB optimization toolbox to fit the IH curve and to solve constrained minimization problems when tuning a note to multiple other notes.
For an app I think a Python port is the best option, as Python is as good (if not better) than MATLAB for numerical algorithms. It would be a rewrite though.
Kees -- IHCon C1 0.000 IHCon C2 0.000 IHCon C3 0.000 IHCon C4 0.000 IHCon C5 0.000 IHCon C6 0.000 A0 6 0.0 -26.02 A#0 6 0.0 -22.05 B0 6 0.0 -22.79 C1 6 0.0 -17.74 C#1 6 0.0 -17.99 D1 6 0.0 -17.18 D#1 6 0.0 -15.20 E1 6 0.0 -16.27 F1 6 0.0 -11.30 F#1 6 0.0 -12.35 G1 6 0.0 -10.17 G#1 6 0.0 -10.04 A1 6 0.0 -10.66 A#1 6 0.0 -8.02 B1 6 0.0 -9.54 C2 6 0.0 0.26 C#2 6 0.0 -1.00 D2 6 0.0 -0.52 D#2 6 0.0 0.49 E2 6 0.0 -1.12 F2 4 0.0 -1.76 F#2 4 0.0 -3.32 G2 4 0.0 -0.83 G#2 4 0.0 -1.67 A2 4 0.0 -1.86 A#2 4 0.0 -0.23 B2 4 0.0 -1.94 C3 4 0.0 1.19 C#3 4 0.0 -0.31 D3 4 0.0 0.99 D#3 4 0.0 1.55 E3 4 0.0 0.19 F3 2 0.0 -0.96 F#3 2 0.0 -2.44 G3 2 0.0 0.58 G#3 2 0.0 -1.00 A3 2 0.0 -1.50 A#3 2 0.0 1.13 B3 2 0.0 -1.18 C4 2 0.0 2.40 C#4 2 0.0 -1.66 D4 2 0.0 0.34 D#4 2 0.0 1.32 E4 2 0.0 -0.22 F4 2 0.0 1.94 F#4 2 0.0 0.19 G4 2 0.0 3.04 G#4 2 0.0 2.17 A4 1 0.0 0.00 A#4 1 0.0 1.55 B4 1 0.0 -0.12 C5 1 0.0 3.95 C#5 1 0.0 2.19 D5 1 0.0 3.47 D#5 1 0.0 3.22 E5 1 0.0 2.50 F5 1 0.0 3.34 F#5 1 0.0 1.52 G5 1 0.0 4.90 G#5 1 0.0 2.17 A5 1 0.0 3.02 A#5 1 0.0 4.94 B5 1 0.0 3.13 C6 1 0.0 6.13 C#6 1 0.0 3.36 D6 1 0.0 5.94 D#6 1 0.0 6.16 E6 1 0.0 5.41 F6 1 0.0 7.50 F#6 1 0.0 6.05 G6 1 0.0 9.78 G#6 1 0.0 8.76 A6 1 0.0 9.56 A#6 1 0.0 10.59 B6 1 0.0 9.80 C7 1 0.0 12.69 C#7 1 0.0 11.36 D7 1 0.0 14.19 D#7 1 0.0 13.22 E7 1 0.0 13.84 F7 1 0.0 15.81 F#7 1 0.0 14.63 G7 1 0.0 18.49 G#7 1 0.0 16.45 A7 1 0.0 18.92 A#7 1 0.0 20.79 B7 1 0.0 20.37 C8 1 0.0 23.82
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Thanks Kees, will try it and report back. Are you looking for feedback on specific intervals or beating? I will, of course, check how the aural EBVT3 instructions match.
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I'm no expert, but I am trying to understand how your program works. I just was wondering if you could explain the large jump that occurs between B1 and C2 on Mr. Moy's piano. Those two notes are being tuned on the same partial, #6, and below B1 there is a considerable overall pitch drop.
Regards,
Last edited by Tdowel; 04/06/11 11:21 AM. Reason: Poor Grammar
Tom Dowell, RPT dowellpiano@gmail.com
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I'm no expert, but I am trying to understand how your program works. I just was wondering if you could explain the large jump that occurs between B1 and C2 on Mr. Moy's piano. Those two notes are being tuned on the same partial, #6, and below B1 there is a considerable overall pitch.
Regards, That's a good question, maybe you have spotted a bug. I'll look into it, thanks! Note added in EDIT: Indeed, a misplaced parenthesis in the code! Pat hasn't checked the low bass yet. You have a good eye for numbers! Thanks again. Kees
Last edited by DoelKees; 04/05/11 07:35 PM. Reason: added note
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Kees, Tdowel, I thought about the same thing this evening tuning the U3, but as I haven't payed too much attention to the highs/lows, it didn't bother me. Sharp eyes/ears (and common sense) are always welcome, though EDIT: PS uploading the U3 feedback as we speak (write).
Last edited by pppat; 04/05/11 07:40 PM.
Patrick Wingren, RPT Wingren Pianistik https://facebook.com/wingrenpianistikConcert Tuner at Schauman Hall, Jakobstad, Finland Musician, arranger, composer - - - - Dedicated to learning the craft of tuning. Getting better.
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If you want another piano to try, I'm game. Here's Tunelab data from my 5'2" 1918 Chickering: IHCon C1 0.555 IHCon C2 0.287 IHCon C3 0.331 IHCon C4 0.385 IHCon C5 0.684 IHCon C6 1.521 I'm not an EBVT expert like Patrick, just another tuner who has done it aurally and like it, though I haven't switched from ET wholesale. Also use Tunelab. But if you're looking for specific things, I may be able to help. As to coding, I have plenty of side projects these days, so no promises Kees, I don't have Matlab, is your code portable to the free alternatives, Octave, FreeMat, or Scilab? Jim: Good to hear from you! Stay in this thread, and drop all other coding peripherals - we need you!
Patrick Wingren, RPT Wingren Pianistik https://facebook.com/wingrenpianistikConcert Tuner at Schauman Hall, Jakobstad, Finland Musician, arranger, composer - - - - Dedicated to learning the craft of tuning. Getting better.
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Jim:
Here are the corrected numbers from B1 down.
Kees
A0 6 0.0 -21.60 A#0 6 0.0 -17.05 B0 6 0.0 -16.83 C1 6 0.0 -13.08 C#1 6 0.0 -12.50 D1 6 0.0 -11.23 D#1 6 0.0 -8.48 E1 6 0.0 -9.03 F1 6 0.0 -5.46 F#1 6 0.0 -6.16 G1 6 0.0 -3.96 G#1 6 0.0 -3.35 A1 6 0.0 -3.74 A#1 6 0.0 -0.73 B1 6 0.0 -1.96
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Pat here are the corrected figures for the low bass in case you need them.
Kees Yamaha C5:
A0 4 0.0 -12.14 A#0 4 0.0 -8.03 B0 4 0.0 -8.25 C1 4 0.0 -4.88 C#1 4 0.0 -4.83 D1 4 0.0 -3.99 D#1 4 0.0 -1.70 E1 4 0.0 -2.65 F1 4 0.0 0.57 F#1 4 0.0 -0.52 G1 4 0.0 1.40 G#1 4 0.0 1.59 A1 4 0.0 0.87 A#1 4 0.0 3.52 B1 4 0.0 2.04
Hellas:
A0 4 0.0 -37.24 A#0 4 0.0 -30.84 B0 4 0.0 -29.22 C1 4 0.0 -24.01 C#1 4 0.0 -22.35 D1 4 0.0 -19.96 D#1 4 0.0 -16.19 E1 4 0.0 -16.02 F1 4 0.0 -11.67 F#1 4 0.0 -11.92 G1 4 0.0 -9.08 G#1 4 0.0 -8.08 A1 4 0.0 -8.10 A#1 4 0.0 -4.66 B1 4 0.0 -5.77
Yamaha U3: A0 4 0.0 -29.55 A#0 4 0.0 -23.61 B0 4 0.0 -22.48 C1 4 0.0 -17.71 C#1 4 0.0 -16.57 D1 4 0.0 -14.64 D#1 4 0.0 -11.36 E1 4 0.0 -11.64 F1 4 0.0 -7.68 F#1 4 0.0 -8.36 G1 4 0.0 -5.84 G#1 4 0.0 -5.24 A1 4 0.0 -5.61 A#1 4 0.0 -2.51 B1 4 0.0 -3.91
Last edited by DoelKees; 04/05/11 08:32 PM. Reason: corrected numbers
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Here are the corrected numbers from B1 down. Got it.
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ok, thx - no need for them yet, just as you said, but soon they might come in handy
Patrick Wingren, RPT Wingren Pianistik https://facebook.com/wingrenpianistikConcert Tuner at Schauman Hall, Jakobstad, Finland Musician, arranger, composer - - - - Dedicated to learning the craft of tuning. Getting better.
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Ok, here's my session tuning the Yamaha U3 to Kees' numbers. The first video clip is a work log of me tuning center strings. I thought I'd post it as well, just for a slight presentation of the way I tune these large pianos, and to possibly serve as some kind of guidance for starting tuners. When I went over the piano the 2nd time, I had to make slight corrections to about five strings, otherwise they had stayed where I left them. The U3 has long strings, and in my opinion this particular Yamaha model requires quite a lot of jerking to get the pins to jump to where they're supposed to stay. EBVT III - Kees numbers - U3 - single strings (144 MB) Then, here's the (familiar by now) talk-through of the tuning: Kees numbeers - U3 - tuning talk-through (139 MB) Finally, here's some music with unisons pulled in fast, just to show the harmonic balance of the piano: Kees numbers - U3 - unisons, playing music (25 MB) @Kees: I might sound like a parrot by now, but the biggest concern right now (as I see it) is the notes below the temperament (below F3), crossing the break. Even more than anything else, that lack of width is where I hear the biggest difference when I compare your numbers to what I would tune aurally. What about concentrating on that area for now? I can easily adjust, say, the U3 for a comparison.
Last edited by pppat; 04/05/11 10:38 PM.
Patrick Wingren, RPT Wingren Pianistik https://facebook.com/wingrenpianistikConcert Tuner at Schauman Hall, Jakobstad, Finland Musician, arranger, composer - - - - Dedicated to learning the craft of tuning. Getting better.
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@Kees: I might sound like a parrot by now, but the biggest concern right now (as I see it) is the notes below the temperament (below F3), crossing the break. Even more than anything else, that lack of width is where I hear the biggest difference when I compare your numbers to what I would tune aurally. What about concentrating on that area for now? I can easily adjust, say, the U3 for a comparison.
Pat, I'm going to kick the ball right back to you. For the region below the temperament octave I have slavishly followed Bill's instructions quoted below, interpreting a 5th as a 3:2 fifth and a fourth as a 4:3. And I make them beat at the theoretically correct ratio as in ET (4:3). At no point in my code do I check octaves (for C3-F3). I think if you followed this recipe slavishly you should get the same results as I do. So what do you do different? If you can articulate that I can implement it.
Tuning from E3 to C3.
After completing the F3 to F4 temperament octave, begin tuning the rest of the low tenor starting with E3. First tune a reasonable sounding octave from E4, then compare E3 with the 4th and 5th above it and adjust E3 so that the octave still sounds reasonable but the 4th and 5th beat exactly the same or as nearly to that as possible. You can cause the 5th to be slightly less tempered sounding than the 4th but not at the expense of creating an obvious beat in the octave. The important thing is to have all three, octave, 4th and 5th sound reasonable.
You do not need to check any RBIs. The M3s, M6s and minor thirds (m3) will all sound uneven if played chromatically. No RBI test that would be necessary in ET would ever be valid when tuning the EBVT. Just as a 17th or 18th Century tuner who would not have known those tests, you do not need to use them at all, just skip that entirely. Whatever happens to the RBIs does not matter.
Continue likewise for D#3 and D3. At C#3, the F#3-C#4 5th is pure in the temperament octave, so when you tune C#3 to C#4 as a reasonable sounding octave, you should find that the C#3-F#3 4th also sounds pure. You may flatten C#3 just enough to slightly improve the C#3-G#3 5th but not at the expense of creating an obvious beat in the octave nor the 4th. The 4th need not remain perfectly pure but it should also not have an obviously tempered sound.
Tuning C3 is similar. The F3-C4 5th is pure in the temperament octave. Therefore when you tune C3 from C4 as a reasonable sounding octave, you should find that that the C3-F3 4th is pure. Similar to tuning C#3, You can slightly flatten C3 to slightly improve the C3-G3 5th but again, not at the expense of creating an obvious beat in the octave nor the 4th. The 4th does not need to remain perfectly pure but it should also not have an obviously tempered sound.
Kees
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Pat:
Some additional thoughts after watching your videos.
First thought: what a great contribution to post those videos of your aural analysis, I'm sure many people will benefit from this, whether you're tuning ET or not. How wonderful would it be if Emmery, Bill Bremmer, UnrightTuner, and semiprotech would post videos like that! (Kudo's to Kamin Stopper and others who have posted this kind of stuff!)
Second thought, relating to my previous post. Assuming you do follow Bill's recipe just below F3, and that the problems occur across the break, the problem may be not in Bill's recipe (surprise!), but in the inharmonicity model I use. As you know tunelab has a "split-scale" mode, where the inharmonicity curve is modeled separately below and above the break, with a discontinuity across. I have not implemented this.
Robert Scott claims this needs to be used only for spinets (I hope I'm quoting him right), but perhaps it should be used always.
So I'm tempted to fix the problem you mentioned by having a different IH model, one for below the break, and one for above. This would required the user to specify the break location, which I assume is not a bid deal.
The alternative is to require the user of the software to measure every string, so I can figure out where the break is. That would be a tough sell.
Before I start implementing 2 IH curve parametrizations, can I have you opinion on what I just wrote? Is there is an easier way to solve the problem?
I have more questions for you, but these are the most pressing at the moment.
Cheers, Kees
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Thank you for your encouragement, Kees! Reading Bill's instructions again, I realized that this gives a lot of leeway: First tune a reasonable sounding octave from E4, then compare E3 with the 4th and 5th above it and adjust E3 so that the octave still sounds reasonable but the 4th and 5th beat exactly the same or as nearly to that as possible. You can cause the 5th to be slightly less tempered sounding than the 4th but not at the expense of creating an obvious beat in the octave. The important thing is to have all three, octave, 4th and 5th sound reasonable.
I tune the fifth/fourth to beat at least in a 2:3 relationship, sometimes even more towards a pure 5th. 9 times out of 10, this does not really give me an obvious beat in the octave, so this "window" in the instructions is rather large. I have an idea that might be worth a try before going split scale. From my aural tuning experience, the "octave size mean" in this part of the piano (across the tenor break) is 6:3. They usually work on small instruments as well as on large ones (although I sometimes go beyond 6:3's on really nice full-scaled grands) So, what would happen if you just use 6:3's for the octaves starting at E3-E4, down to F2-F3? Then, after that, go to a fifth/fourth relationship of beating 2:3? I think this would get us very close in a very simple way. If you could implement that and send me the numbers for the Hellas and the U3 from E3 down throughout the bass, I can verify them in no time. Does it sound like a plan?
Last edited by pppat; 04/06/11 08:08 AM.
Patrick Wingren, RPT Wingren Pianistik https://facebook.com/wingrenpianistikConcert Tuner at Schauman Hall, Jakobstad, Finland Musician, arranger, composer - - - - Dedicated to learning the craft of tuning. Getting better.
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Re: 6:3 suggestion: Will do. But the 4th and 5th scheme changes the temperament in the octave below F3, whereas 6:3 octave tunings leave it intact. I think it matters not, Bill shuld speak up if he thinks otherwise.
Kees
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