1131edo: Difference between revisions

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{{Infobox ET}}
{{Infobox ET}}
'''1131edo''' divides the octave into 1131 equal parts of 1.0610 cents each.
{{EDO intro|1131}}


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.  
Using the [[patent val]], the equal temperament [[Tempering out|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]].  
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|####]] <!-- 4-digit number -->
[[Category:Amicable]]
[[Category:Amicable]]
[[Category:Canou]]
[[Category:Canou]]

Revision as of 13:11, 17 October 2023

← 1130edo 1131edo 1132edo →
Prime factorization 3 × 13 × 29
Step size 1.06101 ¢ 
Fifth 662\1131 (702.387 ¢)
Semitones (A1:m2) 110:83 (116.7 ¢ : 88.06 ¢)
Dual sharp fifth 662\1131 (702.387 ¢)
Dual flat fifth 661\1131 (701.326 ¢)
Dual major 2nd 192\1131 (203.714 ¢) (→ 64\377)
Consistency limit 3
Distinct consistency limit 3

Template:EDO intro

Using the patent val, the equal temperament 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.