RE: re 19, 22, etc

>}On Mon, 29 Dec 1997, Bob Valentine wrote:
>}> Is there a special word for tunings defined by
>}>
>}> 4 * P5 - M3 - 1 = T [*] 2?
>
>Paul H. replied,
>
>}"Positive". It is also possible to have negative tunings, characterized
>}by
>
>} 4 * P5 - M3 + 1 = T * 2
>
>}Actually, in some context you might want to refer to such tunings as
>}"singly positive" and "singly negative", since it is also possible to
>}have _doubly_ positive and _doubly_ negative tunings:
>
>} 4 * P5 - M3 - 2 = T * 2
>} 4 * P5 - M3 + 2 = T * 2
>
>Paul, this is not correct. The terms "singly positive," "doubly negative,"
>etc. refer to the size of the Pythagorean comma, not the syntonic comma.
>
>-Paul E.


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From: "Paul H. Erlich"
Subject: RE: PLANCK CONSTANT
PostedDate: 30-12-97 18:51:20
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>
>}>Unlike in
>}>light, there's no simple correlation between higher vibratory frequencies
>}>in an audio system and higher energy.
>
>} Ooop. Minor detail here: That would be higher wavelengths and thus
>}lower frequencies.
>
>Gary, higher frequencies do correspond to higher enegies. The reason for your
>confusion is that nu is not wavelength -- it is angular frequency, or radians
>per second, or regular (cycles per second) frequency times two pi.


SMTPOriginator: tuning@eartha.mills.edu
From: "Paul H. Erlich"
Subject: RE: Wilson scale
PostedDate: 30-12-97 23:24:55
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>>E = H nu applies to all energy quanta, whether in
>>the form of light, sound, or whatever. ...
>>the quantum of sound is the phonon. ... This wave-particle duality is quite
>>unbelievable to anyone who has not studied quantum mechanics in depth...

I'll have to count myself in on the group that hasn't (well, only a
little). And as such, I'll be prone to look upon the idea of a phonon
skeptically until it bonks me over the ears!

When I think about the classic experiments for illustrating the
particle-wave duality of light, it's difficult for me to see any way to
apply them to sound. I can't imagine any way for example, that you could
get a particle-like distribution from the famous "two-slit" experiment if
conducted with sound rather than light. But presumably that just means
that I'm conducting an unrevealing experiment.


SMTPOriginator: tuning@eartha.mills.edu
From: mr88cet@texas.net (Gary Morrison)
Subject: RE: PLANCK CONSTANT
PostedDate: 31-12-97 06:07:43
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>>Gary, this is not correct. E = H nu applies to all energy quanta, whether in
>>the form of light, sound, or whatever. The quantum of light is the photon;
>>the quantum of sound is the phonon.

If by this you mean that sound is conveyed by phonons in the same sense
that light is conveyed by photons, then the more I think about it, the less
I buy it.

Everything about sound is governed by the laws of fluid (and solid)
mechanics. And any mechanical interaction, viewed waaaaaaay down at the
sub/atomic atomic level, is ultimately electromagnetic in nature.

Now there's normally no realistic value in studying sound at the
sub/atomic level, because everything about sound can be modeled many orders
of magnitude more simply at the macroscopic level of mechanics. But still,
down at the level of fundamental forces, air-pressure is manifested by
collisions of air molecules, and any form of collision is carried out by
repulsion between the electrons in the outer shells of those molecules.
Electron repulsion is in turn carried out by photons.

Or equivalently, the elasticity of the vibration of a string, a steel
string for example, is manifested at the sub/atomic level by the
distortions of crystaline lattices. Crystaline lattices are, once again,
generated by electron attraction and repulsion, which again is conveyed by
photons.

So sound is, at this otherwise not very interesting sub/atomic level,
ultimately conveyed by photons. The invention of a new particle, the
phonon, seems to be no more than a pointless complication that side-steps
well-accepted physical models for no apparent reason.

Now presumably I'm not catching on to something, so go ahead and tell me
what it is.


SMTPOriginator: tuning@eartha.mills.edu
From: Carl Lumma
Subject: Measures of Scale
PostedDate: 31-12-97 06:53:21
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>>The reason for your
>>confusion is that nu is not wavelength -- it is angular frequency

I just checked my ol' UT physics book. Indeed I was mistaken; thanks
for the correction.


SMTPOriginator: tuning@eartha.mills.edu
From: mr88cet@texas.net (Gary Morrison)
Subject: Re: Phonons
PostedDate: 01-01-98 20:25:52
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