258edo

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258EDO is the equal division of the octave into 258 parts of 4.651163 cents each. It tempers out 10976/10935 (hemimage), 65625/65536 (horwell), and 235298/234375 (triwellisma) in the 7-limit as well as 250047/250000 (landscape), 823543/819200 (quince), and 1500625/1492992 (headquarters comma). Using the patent val, it tempers out 441/440, 4375/4356, 16384/16335, and 19712/19683 in the 11-limit; 364/363, 625/624, and 2200/2197 in the 13-limit; 375/374, 595/594, 833/832, 936/935, 2500/2499, 4928/4913 in the 17-limit.

258 has divisors 2, 3, 6, 43, 86, and 129, so 258EDO supports the meridic temperament, which tempers out 43-15-comma, [168 -43 -43 and the mitonisma, 5250987/5242880. Other temperaments which 258EDO supports include cotoneum and mutt.


Approximation of prime intervals in 258 EDO
Prime number 2 3 5 7 11 13 17 19 23 29 31
Error absolute (¢) +0.000 +0.371 -0.267 -1.384 +2.170 +1.333 +2.021 +0.161 -0.367 -1.670 -0.850
relative (%) +0 +8 -6 -30 +47 +29 +43 +3 -8 -36 -18
Steps (reduced) 258 (0) 409 (151) 599 (83) 724 (208) 893 (119) 955 (181) 1055 (23) 1096 (64) 1167 (135) 1253 (221) 1278 (246)