1125edo
Jump to navigation
Jump to search
Prime factorization
32 × 53
Step size
1.06667¢
Fifth
658\1125 (701.867¢)
Semitones (A1:m2)
106:85 (113.1¢ : 90.67¢)
Consistency limit
15
Distinct consistency limit
15
| ← 1124edo | 1125edo | 1126edo → |
1125edo divides the octave into parts of 1.066 cents each.
Its divisors are 1, 3, 5, 9, 15, 25, 45, 75, 125, 225, 375.
Theory
| Harmonic | 2 | 3 | 5 | 7 | 11 | 13 | 17 | 19 | 23 | 29 | 31 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | absolute (¢) | +0.000 | -0.088 | -0.180 | -0.293 | +0.149 | +0.006 | -0.422 | +0.087 | -0.008 | -0.244 | -0.502 |
| relative (%) | +0 | -8 | -17 | -27 | +14 | +1 | -40 | +8 | -1 | -23 | -47 | |
| Steps (reduced) |
1125 (0) |
1783 (658) |
2612 (362) |
3158 (908) |
3892 (517) |
4163 (788) |
4598 (98) |
4779 (279) |
5089 (589) |
5465 (965) |
5573 (1073) | |
In the 11-limit, 1125edo tempers out 2401/2400, 4375/4374, and 250047/250000.