1131edo: Difference between revisions
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1131 factors into 3 × 13 × 29 with divisors 3, 13, 29, 39, 87 and 377, and it shares the major third of [[5/4]] with [[87edo]]. | 1131 factors into 3 × 13 × 29 with divisors 3, 13, 29, 39, 87 and 377, and it shares the major third of [[5/4]] with [[87edo]]. | ||
[[Category:Equal divisions of the octave]] | [[Category:Equal divisions of the octave|####]] <!-- 4-digit number --> | ||
[[Category:Amicable]] | [[Category:Amicable]] | ||
[[Category:Canou]] | [[Category:Canou]] | ||
Revision as of 01:12, 4 July 2022
1131edo divides the octave into 1131 equal parts of 1.0610 cents each.
Using the patent val, it tempers out 1600000/1594323 (amity comma) in the 5-limit, 2401/2400 (breedsma) and 4802000/4782969 (canousma) in the 7-limit, 3025/3024 (lehmerisma), 41503/41472, and 151262/151250 in the 11-limit. It provides the optimal patent val for amicable temperament, the rank-2 temperament that tempers out 2401/2400 and 1600000/1594323, and for canou temperament, the rank-3 temperament that tempers out 4802000/4782969.
1131 factors into 3 × 13 × 29 with divisors 3, 13, 29, 39, 87 and 377, and it shares the major third of 5/4 with 87edo.