901edo

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← 900edo 901edo 902edo →
Prime factorization 17 × 53
Step size 1.33185 ¢ 
Fifth 527\901 (701.887 ¢) (→ 31\53)
Semitones (A1:m2) 85:68 (113.2 ¢ : 90.57 ¢)
Consistency limit 15
Distinct consistency limit 15

Template:EDO intro

901edo is consistent to the 15-odd-limit. The equal temperament tempers out [-16 35 -17 (minortone comma) and [-68 18 17 (vavoom comma) in the 5-limit; 4375/4374, 2100875/2097152, and [7 -4 -16 13 in the 7-limit; 41503/41472, 160083/160000, 234375/234256, and 806736/805255 in the 11-limit; 4225/4224, 4459/4455, 6656/6655, 34398/34375, and 50421/50336 in the 13-limit, supporting mitonic, vavoom, and egads.

Prime harmonics

Approximation of prime harmonics in 901edo
Harmonic 2 3 5 7 11 13 17 19 23 29 31
Error Absolute (¢) +0.000 -0.068 -0.076 -0.568 +0.069 -0.128 +0.261 -0.510 +0.361 -0.054 +0.358
Relative (%) +0.0 -5.1 -5.7 -42.7 +5.2 -9.6 +19.6 -38.3 +27.1 -4.1 +26.9
Steps
(reduced)
901
(0)
1428
(527)
2092
(290)
2529
(727)
3117
(414)
3334
(631)
3683
(79)
3827
(223)
4076
(472)
4377
(773)
4464
(860)

Subsets and supersets

901 factors into 17 × 53. In light of containing 17edo and 53edo as subsets, it supports the chlorine temperament, which has period 17, and iodine temperament, which has period 53.