4172edo

← 4171edo

4172edo

4173edo →

Prime factorization	22 × 7 × 149
Step size	0.287632 ¢
Fifth	2440\4172 (701.822 ¢) (→ 610\1043)
Semitones (A1:m2)	392:316 (112.8 ¢ : 90.89 ¢)
Dual sharp fifth	2441\4172 (702.109 ¢)
Dual flat fifth	2440\4172 (701.822 ¢) (→ 610\1043)
Dual major 2nd	709\4172 (203.931 ¢)
Consistency limit	7
Distinct consistency limit	7

Theory

The first 8 prime harmonics below 25% in 4172edo are 2, 5, 13, 17, 31, 37, 53, 61. Therefore, 4172edo can be thought of as a 2.5.13.17.31.37.53.61 subgroup temperament, on which it is consistent. Other than that, it offers satisfactory representation of the 13-odd-limit (<28% error).

4172's divisors are 1, 2, 4, 7, 14, 28, 149, 298, 596, 1043, 2086. Notable member of the group is 149edo, which is the smallest edo uniquely consistent in the 17-odd limit. Therefore from a logarithmic pitch or highly composite EDO theory perspective, 4172edo can be thought of as a compound of 28 149edos interlocked together.