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
SMTPOriginator: tuning@eartha.mills.edu From: Bob Valentine Subject: re 19, 22, etc PostedDate: 29-12-97 10:35:30 SendTo: CN=coul1358/OU=AT/O=EZH ReplyTo: tuning@eartha.mills.edu $MessageStorage: 0 $UpdatedBy: CN=notesrv2/OU=Server/O=EZH,CN=coul1358/OU=AT/O=EZH,CN=Manuel op de Coul/OU=AT/O=EZH RouteServers: CN=notesrv2/OU=Server/O=EZH,CN=notesrv1/OU=Server/O=EZH RouteTimes: 29-12-97 10:33:07-29-12-97 10:33:08,29-12-97 10:32:32-29-12-97 10:32:32 DeliveredDate: 29-12-97 10:32:32 Categories: $Revisions:
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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? -\-\-- o Gamble money on pool games?"
NOTE: dehyphenate address to remove spamblock. <*>
SMTPOriginator: tuning@eartha.mills.edu From: Paul Hahn Subject: Re: re 19, 22, etc PostedDate: 29-12-97 14:50:58 SendTo: CN=coul1358/OU=AT/O=EZH ReplyTo: tuning@eartha.mills.edu $MessageStorage: 0 $UpdatedBy: CN=notesrv2/OU=Server/O=EZH,CN=coul1358/OU=AT/O=EZH,CN=Manuel op de Coul/OU=AT/O=EZH RouteServers: CN=notesrv2/OU=Server/O=EZH,CN=notesrv1/OU=Server/O=EZH RouteTimes: 29-12-97 14:48:39-29-12-97 15:07:33,29-12-97 15:06:58-29-12-97 15:06:59 DeliveredDate: 29-12-97 15:06:59 Categories: $Revisions:
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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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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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