4973edo
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Prime factorization
4973 (prime)
Step size
0.241303¢
Fifth
2909\4973 (701.951¢)
Semitones (A1:m2)
471:374 (113.7¢ : 90.25¢)
Consistency limit
11
Distinct consistency limit
11
| ← 4972edo | 4973edo | 4974edo → |
4973edo divides the octave into 4973 parts that are approximately .241303...¢ each. It is a very strong 7-limit system: it tempers out an unnoticeable comma [1 -15 -18 23⟩ and supports a number of very high accuracy 7-limit rank-3 temperaments. In the 5-limit it supports whoosh, i.e. the 441&730 temperament.
It is a zeta peak integer edo.
| Prime number | 2 | 3 | 5 | 7 | 11 | 13 | 17 | 19 | |
|---|---|---|---|---|---|---|---|---|---|
| Error | absolute (¢) | +0.0000 | -0.0045 | +0.0124 | +0.0058 | +0.0595 | -0.0692 | +0.0114 | +0.0136 |
| relative (%) | +0 | -2 | +5 | +2 | +25 | -29 | +5 | +6 | |
| Steps (reduced) | 4973 (0) | 7882 (2909) | 11547 (1601) | 13961 (4015) | 17204 (2285) | 18402 (3483) | 20327 (435) | 21125 (1233) | |