839edo
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Prime factorization
839 (prime)
Step size
1.43027¢
Fifth
491\839 (702.265¢)
Semitones (A1:m2)
81:62 (115.9¢ : 88.68¢)
Consistency limit
5
Distinct consistency limit
5
| ← 838edo | 839edo | 840edo → |
839 equal divisions of the octave (abbreviated 839edo or 839ed2), also called 839-tone equal temperament (839tet) or 839 equal temperament (839et) when viewed under a regular temperament perspective, is the tuning system that divides the octave into 839 equal parts of about 1.43 ¢ each. Each step represents a frequency ratio of 21/839, or the 839th root of 2.
Harmonics
| Harmonic | 2 | 3 | 5 | 7 | 11 | 13 | 17 | 19 | 23 | 29 | 31 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | +0.000 | +0.310 | -0.140 | -0.530 | -0.662 | +0.474 | -0.545 | -0.016 | -0.384 | +0.220 | +0.614 |
| Relative (%) | +0.0 | +21.6 | -9.8 | -37.1 | -46.3 | +33.1 | -38.1 | -1.1 | -26.8 | +15.4 | +42.9 | |
| Steps (reduced) |
839 (0) |
1330 (491) |
1948 (270) |
2355 (677) |
2902 (385) |
3105 (588) |
3429 (73) |
3564 (208) |
3795 (439) |
4076 (720) |
4157 (801) | |
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