3395edo: Difference between revisions
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The '''3395 equal divisions of the octave''' ('''3395edo''') divides the [[octave]] into 3395 [[equal]] steps of 0.35346 [[cent]]s each. | The '''3395 equal divisions of the octave''' ('''3395edo''') divides the [[octave]] into 3395 [[equal]] steps of 0.35346 [[cent]]s each. | ||
Revision as of 22:16, 4 October 2022
| ← 3394edo | 3395edo | 3396edo → |
The 3395 equal divisions of the octave (3395edo) divides the octave into 3395 equal steps of 0.35346 cents each.
3395edo is an extremely strong 17- and 19-limit system, and a zeta peak, integral and gap edo. It has a lower 17-limit TE relative error than any edo until 7033, and a lower 19-limit relative error than any edo until 8269. Besides, it provides the optimal patent val for the 13-limit rank-5 temperament tempering out 6656/6655, the jacobin comma. A basis for the 17-limit commas is {6656/6655, 12376/12375, 28561/28560, 31213/31212, 37180/37179, 937125/937024}, and for the 19-limit, {6656/6655, 12376/12375, 12636/12635, 13377/13376, 14365/14364, 23409/23408, 28561/28560}.
3395 = 5 × 7 × 97, with subset edos 5, 7, 35, 97, 485, and 679.
Script error: No such module "primes_in_edo".