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Re: Intonation on DX7


 

Very interesting, and well said. Bruce!

On Friday, August 20, 2021, 05:21:13 p.m. PDT, Bruce Wahler via groups.io <bw@...> wrote:


> Other harmonic-based tunings don’t need this – or at least have enough other problems to not turn to Stretch for their solution.

I think this might be the crux of the situation.? Equal Temperament is very close to an ideal choice, but tuners noticed that following the rules of tuning exactly didn't end up with the best end results, at least, to the ear.

But the string issue is real:? the windings do not track the center core perfectly, and the issue grows over the distance from the reference string -- in our case, usually Middle C.? So, it becomes a choice:? do we follow the mathematical model -- which results in the same beating between intervals of the *fundamentals* across the keyboard -- or do we focus on the beating between harmonics by stretching the tuning?? Since a piano is harmonic-rich, the answer seems to be the latter.

________
But I still wonder if the process applies to digital piano samples; or to non-string instruments like the Rhodes.? It's difficult to answer, because any reference piano is only going to remain perfectly tuned for a very short time.? Within minutes, string tension and temperature/humidity changes conspire to alter the pitch of each string.? So, one cannot compare a grand piano vs. a sample (or modeled) piano and make strong conclusions about frequency relations, unless its possible to do all the analysis within minutes of a piano tuner's work.

That said, sometimes adding a little imperfection improves the overall sound, even if the results aren't 100% accurate.? As an example:? I've found that the Mellotron samples of my Nord Electro sound much more realistic if I apply the 'Vibrato' effect at a very slow setting.? Now, if one examines what that effect does at slow speed, it actually creates a non-linear pitch bend that is mostly flat, with a slight 'whip' of FM at the end, kind of like this --

?????? ______/\______/\______/\__

This is clearly *not* how the wow and flutter of a Mellotron's tape mechanism occurs.? Nevertheless, the slow vibrato adds a feeling that is missing when playing the dry samples -- even though they were recorded on a real Mellotron, with its own wow and flutter.? It may be that adding stretch values to a digital piano better simulates the effect of tuning an acoustic piano, then allowing the piano to settle a bit before use.? So, if stretch tuning improves your Kurzweil's illusion, or the realism of an FM piano, that's not a bad thing.? I just wouldn't stress over finding the 'perfect' tuning rules, because it may be that any small variation improves the sound.

Regards,

-BW

Bruce Wahler
Halfmoon-Switch.com?
bw@...

978.597.7008


PLEASE NOTE: ?The AshbySolutions.com domain will be closed soon. ?Please use the new (wahler.us) email for all future correspondence. ?Thank you for your understanding.
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On 8/20/2021 7:05 PM, LarryS wrote:

I have heard this version before and I have heard other versions of WHY stretch tuning.?

While I’m not certain which explanation best encompasses all the physical world, I do know the debate carries on in certain circles.? What debate??

It’s not that the strings or their makeup that have anything to do with it, it’s our own imperfect, non-mechanical ears.? Of course, who wants to blame listeners, and ultimately customers?? Poor form.? So we blame the strings.

Trouble is, as we get closer models, both synth and sample, stretch tuning becomes more apparent – with nary a string involved.? My go-to for piano is a Kurzweil and yes, it sounds better with a few tweaks of stretch.

Stretch Tuning seems to be an outgrowth of Equal Temperament tuning.? Other harmonic-based tunings don’t need this – or at least have enough other problems to not turn to Stretch for their solution.

But like Bose speakers and Aphex Bottoms, it’s not about what’s mathematically correct, it’s what “sounds better”.? After all, this is how stretch tuning came about.? The various explanations came about much later.

For a couple of decades, it’s been a given that anything that can bring more animation into the sound of a DX7 is a good thing.? My guess is this is no exception.? Lots of unexplored possibilities, here.

BUT – this will be at-best a very subtle change to a 6 op FM patch.

Heck, it’s a pretty subtle change to an acoustic piano.

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L.

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From: [email protected] [mailto:[email protected]] On Behalf Of John Williston
Sent: Friday, August 20, 2021 9:05 AM
To: [email protected]; bw@...; danforcz@...
Subject: Re: [YamahaDX] Intonation on DX7

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Exactly. The Railsback stretch/effect is due to the “inharmonicity” of the strings vibrating. To my knowledge, not even Pianoteq goes so far as to model this. I expect you’ll find no positive benefit from employing the “stretch tuning” as a result. But do keep us posted; it’s an interesting notion. It would never have occurred to me to apply those offsets to virtually generated tones.

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From: [email protected] <[email protected]> On Behalf Of Bruce Wahler via groups.io
Sent: Friday, August 20, 2021 06:53
To: [email protected]; danforcz@...
Subject: Re: [YamahaDX] Intonation on DX7

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I suspect that if stretch tuning benefits an FM piano, it will be something of a 'happy accident.'? Stretch tuning is necessary on an acoustic piano because of the way that a wound string behaves -- i.e., the windings do not perfectly follow the frequency of the core.? Stretch tuning is actually a compromise between the 'correct' mathematical pitch and one which sounds more pleasing to the listener.

If one attempts to stretch tune say, a Fender Rhodes electric piano, the curve will be different, because tines act differently than strings.? Nevertheless, a stretch-tuned Rhodes sounds different than a equal-tempered Rhodes.? (I'm not going to choose a winner here, because attempting to copy acoustic piano idiosyncrasies on a Rhodes is a debatable endeavor.? A piano is a piano, and a Rhodes is its own instrument.)

Since an FM piano is closer to a mathematical model, I would expect that the fundamental/harmonic ratio differences would be minimal across the scale; in fact, any differences might not even be linear.

________
This is, of course, quite different from the microtuning changes used by Wendy Carlos and others.? In this case, the composer or player is trying to better duplicate the historical performance, which may use a tuning other than equal temperament.

Regards,

-BW

Bruce Wahler
Halfmoon-Switch.com?
bw@...

978.597.7008


PLEASE NOTE: ?The AshbySolutions.com domain will be closed soon. ?Please use the new (wahler.us) email for all future correspondence. ?Thank you for your understanding.
?
?

On 8/20/2021 7:27 AM, Daniel Forró via groups.io wrote:

I have found in my archive another table sent to me by George Chakiris, it uses only small differences. I attached it.

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The basic question is how stretch tuning will sound with FM generated electronic piano sound, which is far from the real acoustic piano sound, and if it has any reason to use is. I don’t think it can help to improve sound.

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There was interesting discussion many years ago in microtonal composers circles about the relation between timbre and microtonal tunings. I think the person behind the research is a microtonal music composer William Sethares. Try to start here:

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Daniel Forro

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On Aug 20, 2021, at 3:26, philfrei via <philfrei@...> wrote:

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Thanks for the nudge. I was personally emailed a file with settings that contain pitch adjustments for every note, and the equation that generated the numbers. It looks quite interesting, and was developed by the person who contacted me. I assume that the individual reads this list and I'd like to encourage them to share the chart and equation with the full group.

The bottom line, though, is that I don't know yet if there exists a chart on the Railsback effect produced by Yamaha engineers in any of their manuals. I've been a bit more focused on learning whether or not there is an industry-level standard practice on the issue than in testing how it sounds. So far, from the various people who are closer to studio recording tech than I, there doesn't seem to be much use or awareness of these pitch adjustments, which kind of surprises me. Maybe it is related to the ability of an acoustic musician to make adjustments on the fly, as I learned to do when playing the oboe in the studio.

So, unfortunately, the task of testing how it actually sounds got back-burnered. A related project, more front and center a the moment, is a pilot test I have going for an experiment on whether timbre affects the perceived pitch of notes. I'm collecting data from a handful of people, and need to find a good data-analysis person to ensure that what I'm collecting via the test is suitable for quantifying/modeling. (I'm more a composer/programmer than a scientist.)


I haven't used my DX7S in the studio much lately and figuring out the logistics of inputting and using the data is a bit nervous-making (due to unfamiliarity), though probably doable. I've been doing more with an FM synth I programmed using Java that can produce equivalent voices to those I developed on the DX7. When I get a chance, the plan is to work the Railsback Curve data into the functions that convert MIDI pitches to Hz and vice versa, and see how it sounds. If I get this working, I'll post links to a something that compares the two intonations back-to-back. But it could be another month or more.

>From: Eb Myatt
>Date: Thu, 19 Aug 2021 02:19:50 PDT

>Good Morning Phil,
>
>We haven't received any feedback from you since you last posted. So, did you manage to resolve the >"Railsback" tuning issue that you discussed? Please let us know if you have the table for the DX7s >or any other Yamaha synth ?
>
>Best Regards,
>E
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