1131edo

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.