1001edo

Prime factorization

7 × 11 × 13

Step size

1.1988 ¢

Fifth

586\1001 (702.498 ¢)

Semitones (A1:m2)

98:73 (117.5 ¢ : 87.51 ¢)

Dual sharp fifth

586\1001 (702.498 ¢)

Dual flat fifth

585\1001 (701.299 ¢) (→ 45\77)

Dual major 2nd

170\1001 (203.796 ¢)

Consistency limit

3

Distinct consistency limit

3

1001edo divides the octave into parts of 1.(19880) cents each.

Theory

Script error: No such module "primes_in_edo". 1001 factorizes as 7 x 11 x 13, and therefore by extension it contains all these smaller EDOs. It's composite divisors are 77, 91, and 143.

The best prime subgroup for 1001edo is 2.7.11.13.19.23. In such a subgroup, it tempers out 14651/14641, 157757/157696, and 184877/184832. Taking the full 23-limit enables to determine that 1001edo tempers out 1288/1287, 2300/2299, 2737/2736, 2926/2925, and 5776/5775.

Using the 1001b val, that is putting the 3/2 fifth on the 585th step instead of the 586th, 1001edo tempers out 936/935, 1197/1196, and 1521/1520.