PLANCK CONSTANT

I am hoping someone can answer this question. If planck constant states
that energy states can exist only in discrete steps does this apply to
Frequency generated by a single physical system. In other words is a
glissando not a glissando but minute little steps whole number multiples
of a vibration detated by Planck Constant.If so, what is the octive
equivalent of this fundamental?!
Kraig Grady


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From: Bob Valentine
Subject: re 19, 22, etc
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On Mon, 29 Dec 1997, Bob Valentine wrote:
> Is there a special word for tunings defined by
>
> 4 * P5 - M3 - 1 = T [*] 2?

"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

--pH http://library.wustl.edu/~manynote
O
/\ "Do you like to gamble, Eddie?
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NOTE: dehyphenate address to remove spamblock. <*>


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From: Paul Hahn
Subject: Re: re 19, 22, etc
PostedDate: 29-12-97 14:50:58
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On Mon, 29 Dec 1997, it was written:
> > Is there a special word for tunings defined by
> >
> > 4 * P5 - M3 - 1 = T [*] 2?
>
> "Positive".

My bad! (Don't post when your blood sugar is too low.) Such tunings do
tend to be positive, but degree of positiveness is determined by

12 * P5 - 7 T = X

When X = 1, the system is singly positive.
When X = -1, the system is singly negative.
When X = 2, the system is doubly positive.
When X = -2, the system is doubly negative.
[etc.]

So some of the systems satisfying the quoted equation (snipped) were
singly, and others doubly positive.

For the original question, the shortest term I can think of which the
majority of the list would understand immediately would be "ET in which
the syntonic comma equals one."

--pH http://library.wustl.edu/~manynote
O
/\ "Do you like to gamble, Eddie?
-\-\-- o Gamble money on pool games?"

NOTE: dehyphenate address to remove spamblock. <*>


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From: Mckyyy
Subject: Planck's Glissando
PostedDate: 29-12-97 15:10:12
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It looks like you already got an answer to your question about (4 * P5 -
M3 = T / 2), so I'll answer the other one.



> what does 88cet mean? Each tone having 88 cents?

Yip! 88CET = "88 Cent [per step] Equal Temperament". Each pitch in the
system is 88 cents away from its closest neighbor. It can be thought of as
a close approximation to all of the following:
2 steps per 10:9 10 steps per 5:3
3 steps per 7:6 11 steps per 7:4
4 steps per 11:9 15 steps per 15:7
5 steps per 9:7 16 steps per 9:4
7 steps per 10:7 18 steps per 5:2
8 steps per 3:2

Also, it has these "OK" approximations:
6 steps per 15:11
12 steps per 11:6
17 steps per 12:5

To the best of my knowledge I first discovered 88CET, although I haven't
done any extensive research to verify that. Several list members other
than me (such as Bill Sethares, Paul Fly, and Warren Burt) have written
some impressive music in it.


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From: mr88cet@texas.net (Gary Morrison)
Subject: Re: motherload
PostedDate: 30-12-97 03:31:35
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