Thread: Dodecaphonics
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Old 2006-11-18, 13:46
JonR JonR is offline
Join Date: Sep 2006
Posts: 67
Originally Posted by USS
This is only for instruments with a fretboard or a keyboard.

A C with twelve sharps does still not sound like a C. Phisically, this is quite logic. The proportion between a tone and the chromatic second above is 15/16. When we cound twelve sharps at a note, its proportion is 15 to the twelfth power divided by 16 to the twelfth power, which is 129,746,337,890,625 divided by 281,474,976,710,656 and that is less than 0.5, which means that C############ is higher than a C. Therefore, your maximum is not correct.

There are infinite possibilities for dodecaphonics.
You're speaking about pure intonation, not equal temperament. (I think maybe you didn't make this clear enough.)
As I understand it, dodecaphonics, or 12-tone music, presupposes equal temperament, in which each note relates to the next by the 12th root of 2, not 15/16. That way, C sharped 12 times is exactly C an octave higher.
If it was not based on equal temperament, then - seems to me - one note of the 12 would dominate, inasmuch as others were measured from it in a series of simple ratios. Therefore we would not have a truly atonal music (which I think is how 12-tone music is regarded).

Of course, many other scale and intonation systems are possible. Who says the octave has to have only 12 divisions?.....
...and there's more where they came from...
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