1012edo

← 1011edo

1012edo

1013edo →

Prime factorization	22 × 11 × 23
Step size	1.18577 ¢
Fifth	592\1012 (701.976 ¢) (→ 148\253)
Semitones (A1:m2)	96:76 (113.8 ¢ : 90.12 ¢)
Consistency limit	15
Distinct consistency limit	15

Theory

1012edo is a strong 13-limit system, distinctly consistent through the 15-odd-limit. It is a zeta peak edo, though not zeta integral nor zeta gap. A basis for the 13-limit commas is 2401/2400, 4096/4095, 6656/6655, 9801/9800 and [2 6 -1 2 0 4⟩.

1012 has divisors 1, 2, 4, 11, 22, 23, 44, 46, 92, 253, 506.

In addition to containing 22edo and 23edo, it contains a 22L 1s scale produced by generator of 45\1012 associated with 33/32, and is associated with the 45 & 1012 temperament, making it concoctic. A comma basis for the 13-limit is 2401/2400, 6656/6655, 123201/123200, [18 15 -12 -1 0 -3⟩.