583edo
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Prime factorization
11 × 53
Step size
2.05832¢
Fifth
341\583 (701.887¢) (→31\53)
Semitones (A1:m2)
55:44 (113.2¢ : 90.57¢)
Consistency limit
11
Distinct consistency limit
11
| ← 582edo | 583edo | 584edo → |
583 equal divisions of the octave (abbreviated 583edo or 583ed2), also called 583-tone equal temperament (583tet) or 583 equal temperament (583et) when viewed under a regular temperament perspective, is the tuning system that divides the octave into 583 equal parts of about 2.06 ¢ each. Each step represents a frequency ratio of 21/583, or the 583rd root of 2.
This system apparently is at its best in the 2.3.11.17 subgroup. It also supports iodine up to the 11-limit, or using the 583f val, up to the 17-limit.
Prime harmonics
| 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) | |
Subsets and supersets
Since 583 factors into 11 × 53, 583edo contains 11edo and 53edo as subsets.