901edo

Revision as of 10:19, 26 September 2022 by FloraC (talk | contribs) (Cleanup; +prime error table)

901edo is the equal division of the octave into 901 parts of 1.33185 cents each. It 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 the mitonic temperament and the egads temperament.

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)