742edo

← 741edo

742edo

743edo →

Prime factorization	2 × 7 × 53
Step size	1.61725 ¢
Fifth	434\742 (701.887 ¢) (→ 31\53)
Semitones (A1:m2)	70:56 (113.2 ¢ : 90.57 ¢)
Consistency limit	21
Distinct consistency limit	21

Theory

742edo is a very strong 19-limit system and a zeta peak tuning, and is uniquely consistent in the 21-odd-limit. It has a lower 19-limit relative error than any edo until 1178. It tempers out 2401/2400 in the 7-limit, 9801/9800 in the 11-limit, 4096/4095, 6656/6655, 10648/10647 in the 13-limit, 1701/1700, 2058/2057, 2601/2600, 4914/4913, 5832/5831 in the 17-limit, 2376/2375, 2432/2431, 2926/2925, 3136/3135, 4200/4199, 5776/5775, 5929/5928, 5985/5984, 6860/6859 in the 19-limit.

742 = 2 × 7 × 53, so it notably contains 53edo and 14edo.