175edo

Prime factorization

5² × 7

Step size

6.85714 ¢

Fifth

102\175 (699.429 ¢)

Semitones (A1:m2)

14:15 (96 ¢ : 102.9 ¢)

Dual sharp fifth

103\175 (706.286 ¢)

Dual flat fifth

102\175 (699.429 ¢)

Dual major 2nd

30\175 (205.714 ¢) (→ 6\35)

Consistency limit

7

Distinct consistency limit

7

The 175 equal division divides the octave into 175 equal parts of 6.857 cents each. It tempers out 1029/1024 and 225/224, so that it supports 7-limit miracle temperament, and in fact provides an excellent alternative to 72edo for 7-limit miracle. In the 11-limit, it tempers out 243/242, 385/384, 441/440 and 540/439, and supports 11-limit miracle. In the 13-limit, 175f tempers out 351/350 just as 72 does, and provides a tuning for benediction temperament very close to the POTE tuning.

175edo

Music