156edo

Prime factorization

2² × 3 × 13

Step size

7.69231 ¢

Fifth

91\156 (700 ¢) (→ 7\12)

Semitones (A1:m2)

13:13 (100 ¢ : 100 ¢)

Consistency limit

7

Distinct consistency limit

7

156edo is the equal division of the octave into 156 parts of 7.6923 cents each. It tempers out 531441/524288 (pythagorean comma) and 1220703125/1207959552 (ditonmic comma) in the 5-limit, as well as 1224440064/1220703125 (parakleisma); 225/224, 250047/250000, and 589824/588245 in the 7-limit. Using the patent val, it tempers out 441/440, 1375/1372, 4375/4356, and 65536/65219 in the 11-limit; 351/350, 364/363, 625/624, 1625/1617, and 13122/13013 in the 13-limit. Using the 156e val, it tempers out 385/384, 540/539, 1331/1323, and 78408/78125 in the 11-limit; 351/350, 625/624, 847/845, and 1001/1000 in the 13-limit.