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.

The '''1000 edo''' divides the octave in 1000 equal parts of exactly 1.2 [[cent]]s, 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 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]].

1000edo is related to 200edo, but the [[patent val]]s differ on the mapping for 5 and 7. In the [[5-limit]], it tempers out luna comma, 274877906944/274658203125 and senior comma, {{Monzo| -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]]. 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 [[deca temperament]] and [[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.
+The '''1000 edo''' divides the octave in 1000 equal parts of exactly 1.2 [[cent]]s, 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 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]].
+edo is related to 200edo, but the [[patent val]]s differ on the mapping for 5 and 7. In the [[5-limit]], it tempers out luna comma, 274877906944/274658203125 and senior comma, {{Monzo| -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]]. 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 [[deca temperament]] and [[donar temperament]].
 [[Category:edo]]
-[[Category:notation]]
 [[Category:theory]]