3684edo: Difference between revisions
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3684 = 12 * 307, 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 66 steps, 531441/524288, the Pythagorean comma, 72 steps, and 32805/32768, the schisma, 6 steps, making it exactly 1/12 of a Pythagorean comma and 1/11 of a syntonic comma, useful approximations when dealing with this problem. Raider, {{monzo|71 -99 37}};, pirate, {{monzo|-90 -15 49}}; and the monzisma, {{monzo|54 -37 2}};, are all one step of 3684et. | 3684 = 12 * 307, 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 66 steps, 531441/524288, the Pythagorean comma, 72 steps, and 32805/32768, the schisma, 6 steps, making it exactly 1/12 of a Pythagorean comma and 1/11 of a syntonic comma, useful approximations when dealing with this problem. Raider, {{monzo|71 -99 37}};, pirate, {{monzo|-90 -15 49}}; and the monzisma, {{monzo|54 -37 2}};, are all one step of 3684et. | ||
{{ | {{Harmonics in equal|3684|columns=10|prec=4}} | ||
[[Category:Equal divisions of the octave|####]] <!-- 4-digit number --> | [[Category:Equal divisions of the octave|####]] <!-- 4-digit number --> | ||