187edo

Prime factorization

11 × 17

Step size

6.41711 ¢

Fifth

109\187 (699.465 ¢)

Semitones (A1:m2)

15:16 (96.26 ¢ : 102.7 ¢)

Dual sharp fifth

110\187 (705.882 ¢) (→ 10\17)

Dual flat fifth

109\187 (699.465 ¢)

Dual major 2nd

32\187 (205.348 ¢)

Consistency limit

7

Distinct consistency limit

7

The 187 equal temperament, which divides the octave into 187 parts of 6.417 cents each, is a bit of a chimera. It has a fifth which is 2.9 cents flat and a major third 1.3 cents flat, but the 7, 11 and 13 are more accurate. It tempers out 78732/78125, the sensipent comma, in the 5-limit and 225/224 in the 7-limit, providing the optimal patent val for sensei temperament which tempers out both. In the 11-limit it tempers out 441/440, 1375/1372 and 4000/3993 and in the 13-limit 1188/1183, 351/350, 625/624, 1716/1715 and 2200/2197.