3566edo

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3566edo divides the octave into 3566 parts that are approximately .336511...¢ each. It is a very strong 7-limit system, and is twice 1783edo which is a very strong 5-limit edo. It tempers out the lakisma and supports a number of very high accuracy 7-limit rank-3 temperaments.

It is a zeta peak integer edo.


Approximation of prime intervals in 3566 EDO
Prime number 2 3 5 7 11 13 17 19
Error absolute (¢) +0.0000 +0.0080 +0.0015 -0.0093 -0.1121 +0.0781 +0.0362 -0.0369
relative (%) +0 +2 +0 -3 -33 +23 +11 -11
Steps (reduced) 3566 (0) 5652 (2086) 8280 (1148) 10011 (2879) 12336 (1638) 13196 (2498) 14576 (312) 15148 (884)