321edo

Prime factorization

3 × 107

Step size

3.73832 ¢

Fifth

188\321 (702.804 ¢)

Semitones (A1:m2)

32:23 (119.6 ¢ : 85.98 ¢)

Consistency limit

3

Distinct consistency limit

3

The 321 equal division divides the octave into 321 equal parts of 3.738 cents each. The patent val tempers out 2401/2400, 5120/5103 and 10976/10935 in the 7-limit, supporting hemififths temperament. In the 11-limit it tempers out 385/384 and 1375/1372, and in the 13-limit 325/324, 352/351, 847/845 and 2080/2079, providing the optimal patent val for 11- and 13-limit akea temperament.