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The '''1000 edo''' divides the octave in 1000 equal parts of exactly 1.2 cents, or 1 [[millioctave]] each. It is notable mostly because it is the equal division corresponding to millioctaves. | The '''1000 edo''' divides the octave in 1000 equal parts of exactly 1.2 cents, or 1 [[millioctave]] each. It is notable mostly because it is the equal division corresponding to millioctaves. | ||
1000edo is related to 200edo, but the patent vals differ on the mapping for 5 and 7. In the [[5-limit]], it tempers out luna comma, 274877906944/274658203125, senior comma, |-17 62 -35>. In the [[7-limit]], it tempers out 4375/4374, 201768035/201326592, and 165288374272/164794921875, leading to the [[Luna_family | 1000edo is related to 200edo, but the patent vals differ on the mapping for 5 and 7. In the [[5-limit]], it tempers out luna comma, 274877906944/274658203125, senior comma, |-17 62 -35>. In the [[7-limit]], it tempers out 4375/4374, 201768035/201326592, and 165288374272/164794921875, leading to the [[Luna_family|lunatic temperament]] and [[Ragismic microtemperaments|seniority temperament]]. In the 11-limit, it tempers out 3025/3024, 9801/9800, and 391314/390625;in the 13-limit, it tempers out 1001/1000, 4225/4224, 4459/4455, and 10648/10647, leading to the [[Ragismic microtemperaments|deca temperament]] and [[Kalismic temperaments|donar temperament]]. | ||
[[Category:edo]] | [[Category:edo]] | ||
[[Category:notation]] | [[Category:notation]] | ||
[[Category:theory]] | [[Category:theory]] | ||
Revision as of 23:59, 27 November 2018
The 1000 edo divides the octave in 1000 equal parts of exactly 1.2 cents, or 1 millioctave each. It is notable mostly because it is the equal division corresponding to millioctaves.
1000edo is related to 200edo, but the patent vals differ on the mapping for 5 and 7. In the 5-limit, it tempers out luna comma, 274877906944/274658203125, senior comma, |-17 62 -35>. In the 7-limit, it tempers out 4375/4374, 201768035/201326592, and 165288374272/164794921875, leading to the lunatic temperament and seniority temperament. In the 11-limit, it tempers out 3025/3024, 9801/9800, and 391314/390625;in the 13-limit, it tempers out 1001/1000, 4225/4224, 4459/4455, and 10648/10647, leading to the deca temperament and donar temperament.