1000edo: Difference between revisions

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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.

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 [[Ragisma family|donar temperament]].

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 and 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]]. It also tempers out 3025/3024, 9801/9800, and 391314/390625 in the [[11-limit]]; 1001/1000, 4225/4224, 4459/4455, and 10648/10647 in the [[13-limit]], leading to the [[Ragismic microtemperaments|deca temperament]] and [[Ragisma family|donar temperament]].

[[Category:edo]]

[[Category:notation]]

[[Category:theory]]

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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.
-edo 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&gt;. 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 [[Ragisma family|donar temperament]].
+edo 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 and senior comma, |-17 62 -35&gt;. 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]]. It also tempers out 3025/3024, 9801/9800, and 391314/390625 in the [[11-limit]]; 1001/1000, 4225/4224, 4459/4455, and 10648/10647 in the [[13-limit]], leading to the [[Ragismic microtemperaments|deca temperament]] and [[Ragisma family|donar temperament]].
 [[Category:edo]]
 [[Category:notation]]
 [[Category:theory]]