13382edo
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Prime factorization
2 × 6691
Step size
0.0896727¢
Fifth
7828\13382 (701.958¢) (→3914\6691)
Semitones (A1:m2)
1268:1006 (113.7¢ : 90.21¢)
Consistency limit
17
Distinct consistency limit
17
| ← 13381edo | 13382edo | 13383edo → |
13382 equal divisions of the octave (abbreviated 13382edo or 13382ed2), also called 13382-tone equal temperament (13382tet) or 13382 equal temperament (13382et) when viewed under a regular temperament perspective, is the tuning system that divides the octave into 13382 equal parts of about 0.0897 ¢ each. Each step represents a frequency ratio of 21/13382, or the 13382nd root of 2.
13382edo is consistent in the 17-odd-limit and improves on 6691edo.
| Harmonic | 2 | 3 | 5 | 7 | 11 | 13 | 17 | 19 | 23 | 29 | 31 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | +0.0000 | +0.0029 | -0.0037 | -0.0021 | -0.0102 | -0.0255 | -0.0384 | +0.0210 | -0.0274 | +0.0447 | -0.0049 |
| Relative (%) | +0.0 | +3.2 | -4.2 | -2.4 | -11.4 | -28.4 | -42.8 | +23.4 | -30.6 | +49.8 | -5.5 | |
| Steps (reduced) |
13382 (0) |
21210 (7828) |
31072 (4308) |
37568 (10804) |
46294 (6148) |
49519 (9373) |
54698 (1170) |
56846 (3318) |
60534 (7006) |
65010 (11482) |
66297 (12769) | |