still wondering why acoustic pianos are tuned with stretched octaves. Should
someone get beating octaves, why aren't they tuned with, for example, shrunk
octaves ... Any idea?
Hi there, still wondering why acoustic pianos are tuned with stretched octaves. Should someone get beating octaves, why aren't they tuned with, for example,...
Petr PaÅ™Ãzek
p.parizek@...
Jun 17, 2008 4:54 pm
The explanation that I've gotten is that this is done because an acoustic piano's partials are stretched and inharmonic due to the thickness of the strings....
... Stiffness of the strings, yes. ... It's been claimed that tunings are often stretched to a greater degree than the inharmonicity of the instrument would...
... See http://falstad.com/barwaves/j2/ for an enlightening simulation of this phenomenon. (Select "stiff string, pinned" from the "Setup" menu.) Keenan...
... I've heard this, but does the standard MIDI GM synth for example do this? Because with an 6-octave range the pitch seems to stay pretty much the same to...
... "General MIDI" doesn't really say much about a synth. Ivory and Pianoteq do it, and any pure sampler with full-keyboard samples will do it too if the...
... One theory is to achieve concord with the partials of the instrument, which are stretched. Another (not mutually exclusive) theory is that the human ear...
... Maybe that's because the "natural" sounds usually have overtones with larger than pure harmonics, so the human hearing is "adjusted" in a certain way. It...
Petr ParÃzek
p.parizek@...
Jun 18, 2008 12:36 pm
Sorry for the clipboard snafu (I'm deleting it from the archives so don't worry if you don't know what I'm talking about). ... According to Paul Erlich this is...
... Right. Took the words right out of my mouth. Speaking of which, THE most important "natural" sound is of course the human voice, which even when speaking,...
Hiya Paul, ... I strongly disagree. The most important thing for a social animal like a human is to be able to understand the vocalizations of other humans....
For Carl and Paul P.: ... Hmmm, if that should be true, then I'm not sure what's meant by "naturally-occurring". Wonder where Paul E. got this claim. Whatever...
Petr ParÃzek
p.parizek@...
Jun 18, 2008 7:14 pm
... "naturally-occurring". Wonder where Paul E. got this claim. Whatever they get stretched or shrunk, I don't think they can get totally pure. ... example)...
... Human voice, all reed and brass winds, and bowed strings. ... His substantial understanding of physics. ... Plucked and struck strings are an exception....
Funny it was Wolfe who told me two weeks ago that they were basically harmonic. and i questioned him about it further /^_,',',',_ //^ /Kraig Grady_ ^_,',',',_ ...
... I know. And I don't say that I disagree. I was just trying to find out if there is some kind of rule according to which it's possible to tell something...
Petr ParÃzek
p.parizek@...
Jun 18, 2008 8:59 pm
... out if there is some kind of rule according to which it's possible to tell something like an "average amount" of overtone detuning, for example, for a...
... Not ALWAYS true. For instance, you can drive a piano string continuously with a jet of compressed air, and it is still inharmonic. It depends whether or...
... The coefficient of inharmonicity is a function of the stiffness parameter J, and so not easy to calculate. Having restrung many pianos, I find the...
... Don't you mean E? Young's modulus? Yeah, I know there are slight variations depending on which direction, but it's more or less the same. ... Which formula...
... same. ... inharmonicity ... all ... There are two different kinds of equations for the dimensionless stiffness parameter (J): one based on a known tension...
... Right. Thanks. But I still wonder where you get your value for E for the piano wire you are using? ... I don't understand. How can the coefficient be a...
... (or J) ... detuning? How ... sectional ... frequency ... and ... is ... for ... Timoshenko, S.P. (1953). History of Strength of Materials, p. 92. Dover...
... Uh, don't really know where to start. I guess the most important thing is that there are as many "steels" as there are mushrooms, and the difference...
... out if there is some kind of rule according to which it's possible to tell something like an "average amount" of overtone detuning, for example, for a...
An Acoustician at Sydney university recently told me the same. /^_,',',',_ //^ /Kraig Grady_ ^_,',',',_ Mesotonal Music from: _'''''''_ ^North/Western...
... Hah, it seems you're the one who has eventually found an explanation I understand. :-D Thanks. Now it's upon me to look for the answer to the actual...
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