378edo

Prime factorization

2 × 3³ × 7

Step size

3.1746 ¢

Fifth

221\378 (701.587 ¢)

Semitones (A1:m2)

35:29 (111.1 ¢ : 92.06 ¢)

Consistency limit

7

Distinct consistency limit

7

The 378 equal division divides the octave into 378 equal parts of 3.175 cents each. It tempers out 32805/32768 in the 5-limit and 3136/3125 in the 7-limit, so that it supports bischismatic temperament and in fact provides the optimal patent val. It tempers out 441/440 and 8019/8000 in the 11-limit and 729/728 and 1001/1000 in the 13-limit so that it supports 11 and 13 limit bischismatic, and it also gives the optimal patent val for 13-limit bischismatic.