583edo
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The 583 equal divisions of the octave (583edo), or the 583(-tone) equal temperament (583tet, 583et) when viewed from a regular temperament perspective, divides the octave into 583 equal parts of about 2.06 cents each.
Theory
This system apparently is at its best in the 2.3.11.17 subgroup. It also supports Iodine up to the 11-limit, but no further.
| Harmonic | 2 | 3 | 5 | 7 | 11 | 13 | 17 | 19 | 23 | 29 | 31 | 37 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | +0.000 | -0.068 | +0.650 | +0.642 | +0.312 | -0.733 | +0.019 | +0.943 | -0.487 | -0.418 | -0.610 | -0.229 |
| Relative (%) | +0.0 | -3.3 | +31.6 | +31.2 | +15.1 | -35.6 | +0.9 | +45.8 | -23.7 | -20.3 | -29.6 | -11.1 | |
| Steps (reduced) |
583 (0) |
924 (341) |
1354 (188) |
1637 (471) |
2017 (268) |
2157 (408) |
2383 (51) |
2477 (145) |
2637 (305) |
2832 (500) |
2888 (556) |
3037 (122) | |