764edo

← 763edo

764edo

765edo →

Prime factorization	22 × 191
Step size	1.57068 ¢
Fifth	447\764 (702.094 ¢)
Semitones (A1:m2)	73:57 (114.7 ¢ : 89.53 ¢)
Consistency limit	17
Distinct consistency limit	17

The 764 equal division divides the octave into 764 equal parts of 1.571 cents each. It is a very strong 17-limit system distinctly consistent to the 17-limit, and is the fourteenth zeta integral division. In the 5-limit it tempers out the hemithirds comma, [38 -2 -15⟩; in the 7-limit 4375/4374; in the 11-limit 3025/3024 and 9801/9800; in the 13-limit 1716/1715, 2080/2079, 4096/4095, 4225/4224, 6656/6655 and 10648/10647; and in the 17-limit 2431/2430, 2500/2499, 4914/4913 and 5832/5831. It provides the optimal patent val for abigail temperament in the 11-limit.