# 258edo

**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.

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) |