1131edo

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← 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

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.