258edo: Difference between revisions
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'''258EDO''' is the [[EDO|equal division of the octave]] into 258 parts of 4.651163 [[cent]]s each. It tempers out 10976/10935 ([[Hemimage temperaments|hemimage]]), 65625/65536 ([[Horwell temperaments|horwell]]), and 235298/234375 (triwellisma) in the 7-limit as well as 250047/250000 ([[Landscape microtemperaments|landscape]]), 823543/819200 ([[Quince clan|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. | '''258EDO''' is the [[EDO|equal division of the octave]] into 258 parts of 4.651163 [[cent]]s each. It tempers out 10976/10935 ([[Hemimage temperaments|hemimage]]), 65625/65536 ([[Horwell temperaments|horwell]]), and 235298/234375 (triwellisma) in the 7-limit as well as 250047/250000 ([[Landscape microtemperaments|landscape]]), 823543/819200 ([[Quince clan|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. | ||
Revision as of 21:29, 4 October 2022
| ← 257edo | 258edo | 259edo → |
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.
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