5585edo

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5585edo

5586edo →

Prime factorization	5 × 1117
Step size	0.214861 ¢
Fifth	3267\5585 (701.952 ¢)
Semitones (A1:m2)	529:420 (113.7 ¢ : 90.24 ¢)
Consistency limit	15
Distinct consistency limit	15

The 5585 division divides the octave into 5585 equal parts of 0.21486 cents each. It is a zeta peak edo, which has to do with the fact that it is a strong 13-limit division, with a lower 13-limit relative error than any smaller edo, though 6079, only slightly larger, beats it. A basis for its 13-limit commas is {123201/123200, 151263/151250, 8858304/8857805, 8859375/8859136, 62752536/62748517}.