267edo: Difference between revisions
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'''267edo''' is the [[EDO|equal division of the octave]] into 267 parts of 4.494382 [[cent]]s each. In the 5-limit, it tempers out both [[Graviton|129140163/128000000]] and 274877906944/274658203125, enabling it to support both [[Gravity_family|gravity]] and [[Luna_family|luna]] temperaments. In the 7-limit, it tempers out 1029/1024, 3136/3125, 50421/50000, 65625/65536, 9882516/9765625 and 28824005/28697814, enabling it to support [[Gamelismic_clan|gamelismic]], [[Hemimean_family|hemimean]] and [[Trimyna_family|trimyna]] temperaments among others. In the 11-limit, it tempers out 243/242, 1375/1372, 4000/3993, 6144/6125, 8019/8000, 16896/16807, 30375/30184, 43923/43904 and [[Quartisma|117440512/117406179]]. In the 13-limit, it tempers out 351/350, 1375/1372, 1575/1573, 2080/2079, [[4096/4095]], 4225/4224 and 59535/59488. | '''267edo''' is the [[EDO|equal division of the octave]] into 267 parts of 4.494382 [[cent]]s each. In the 5-limit, it tempers out both [[Graviton|129140163/128000000]] and 274877906944/274658203125, enabling it to support both [[Gravity_family|gravity]] and [[Luna_family|luna]] temperaments. In the 7-limit, it tempers out 1029/1024, 3136/3125, 50421/50000, 65625/65536, 9882516/9765625 and 28824005/28697814, enabling it to support [[Gamelismic_clan|gamelismic]], [[Hemimean_family|hemimean]] and [[Trimyna_family|trimyna]] temperaments among others. In the 11-limit, it tempers out 243/242, 1375/1372, 4000/3993, 6144/6125, 8019/8000, 16896/16807, 30375/30184, 43923/43904 and [[Quartisma|117440512/117406179]]. In the 13-limit, it tempers out 351/350, 1375/1372, 1575/1573, 2080/2079, [[4096/4095]], 4225/4224 and 59535/59488. | ||
[[Category:Equal divisions of the octave]] | [[Category:Equal divisions of the octave|###]] <!-- 3-digit number --> | ||
[[Category:Gravity]] | [[Category:Gravity]] | ||
[[Category:Luna]] | [[Category:Luna]] | ||
[[Category:Quartismic]] | [[Category:Quartismic]] | ||
Revision as of 19:06, 3 July 2022
267edo is the equal division of the octave into 267 parts of 4.494382 cents each. In the 5-limit, it tempers out both 129140163/128000000 and 274877906944/274658203125, enabling it to support both gravity and luna temperaments. In the 7-limit, it tempers out 1029/1024, 3136/3125, 50421/50000, 65625/65536, 9882516/9765625 and 28824005/28697814, enabling it to support gamelismic, hemimean and trimyna temperaments among others. In the 11-limit, it tempers out 243/242, 1375/1372, 4000/3993, 6144/6125, 8019/8000, 16896/16807, 30375/30184, 43923/43904 and 117440512/117406179. In the 13-limit, it tempers out 351/350, 1375/1372, 1575/1573, 2080/2079, 4096/4095, 4225/4224 and 59535/59488.