4296edo: Difference between revisions
+ brief description of higher limits |
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4296 = 12 × 358, and is potentially of use as a device for constructing 5-limit 12-note circulating temperaments, and | 4296 = 12 × 358, and is potentially of use as a device for constructing 5-limit 12-note circulating temperaments, and | ||
which means that one cent is exactly 3.58 steps of 4296edo. 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, {{monzo| -17 62 -35 }}, fortune, {{monzo| -107 47 14 }} and the [[monzisma]], {{monzo| 54 -37 2 }}, are all one step of 4296et. | which means that one cent is exactly 3.58 steps of 4296edo. 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, {{monzo| -17 62 -35 }}, fortune, {{monzo| -107 47 14 }} and the [[monzisma]], {{monzo| 54 -37 2 }}, are all one step of 4296et. | ||
=== Prime harmonics === | === Prime harmonics === | ||
{{Harmonics in equal|4296|prec=4}} | {{Harmonics in equal|4296|prec=4}} | ||