442edo
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Prime factorization
2 × 13 × 17
Step size
2.71493¢
Fifth
259\442 (703.167¢)
Semitones (A1:m2)
45:31 (122.2¢ : 84.16¢)
Dual sharp fifth
259\442 (703.167¢)
Dual flat fifth
258\442 (700.452¢) (→129\221)
Dual major 2nd
75\442 (203.62¢)
Consistency limit
3
Distinct consistency limit
3
| ← 441edo | 442edo | 443edo → |
442 equal divisions of the octave (abbreviated 442edo or 442ed2), also called 442-tone equal temperament (442tet) or 442 equal temperament (442et) when viewed under a regular temperament perspective, is the tuning system that divides the octave into 442 equal parts of about 2.71 ¢ each. Each step represents a frequency ratio of 21/442, or the 442nd root of 2.
There is a very good 6/5 at 116\442.
Harmonics
| Harmonic | 3 | 5 | 7 | 9 | 11 | 13 | 15 | 17 | 19 | 21 | 23 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | +1.21 | -0.79 | +0.40 | -0.29 | -0.19 | +1.10 | +0.42 | +0.93 | +1.13 | -1.10 | -1.13 |
| Relative (%) | +44.7 | -29.2 | +14.9 | -10.7 | -6.9 | +40.6 | +15.4 | +34.1 | +41.6 | -40.4 | -41.4 | |
| Steps (reduced) |
701 (259) |
1026 (142) |
1241 (357) |
1401 (75) |
1529 (203) |
1636 (310) |
1727 (401) |
1807 (39) |
1878 (110) |
1941 (173) |
1999 (231) | |
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