1000edo: Difference between revisions
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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. | 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. | ||
Revision as of 22:06, 4 October 2022
| ← 999edo | 1000edo | 1001edo → |
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 and 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. 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.
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