4296edo
IMPORTED REVISION FROM WIKISPACES
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- This revision was by author genewardsmith and made on 2012-04-04 15:21:06 UTC.
- The original revision id was 317701072.
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Original Wikitext content:
The 4296 equal division divides the octave into 4296 steps of 0.2793 cents each, which means that one cent is exactly 3.58 steps of 4296 edo. It is an extraordinarily strong 5-limit system, tempering out raider, |71 -99 37>, pirate, |-90 -15 49> and the Kirnberger atom, |161 -84 -12>. It is divisible by 12 358 times, and is potentially of use as a device for constructing 5-limit 12-note circulating temperaments. From that point of view, one might note that 81/80 is 77 steps, 531441/524288, the Pythagorean comma, 84 steps, and 32805/32768, the schisma, 7 steps, making it exactly 1/12 of a Pythagorean comma and 1/11 of a syntonic comma, useful approximations when dealing with this problem. Senior, |-17 62 -35>, fortune, |-107 47 14> and the monzisma, |54 -37 2>, are all one step of 4296et.
Original HTML content:
<html><head><title>4296edo</title></head><body>The 4296 equal division divides the octave into 4296 steps of 0.2793 cents each, which means that one cent is exactly 3.58 steps of 4296 edo. It is an extraordinarily strong 5-limit system, tempering out raider, |71 -99 37>, pirate, |-90 -15 49> and the Kirnberger atom, |161 -84 -12>. It is divisible by 12 358 times, and is potentially of use as a device for constructing 5-limit 12-note circulating temperaments. From that point of view, one might note that 81/80 is 77 steps, 531441/524288, the Pythagorean comma, 84 steps, and 32805/32768, the schisma, 7 steps, making it exactly 1/12 of a Pythagorean comma and 1/11 of a syntonic comma, useful approximations when dealing with this problem. Senior, |-17 62 -35>, fortune, |-107 47 14> and the monzisma, |54 -37 2>, are all one step of 4296et.</body></html>