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, tempering out [-16 35 -17 (minortonic comma) and [-68 18 17 (vavoom comma) in the 5-limit; 4375/4374, 2100875/2097152, and 12401793332096/12359619140625 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)

Divisors

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