3071edo
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Prime factorization
37 × 83
Step size
0.390752¢
Fifth
1796\3071 (701.791¢)
Semitones (A1:m2)
288:233 (112.5¢ : 91.05¢)
Dual sharp fifth
1797\3071 (702.182¢)
Dual flat fifth
1796\3071 (701.791¢)
Dual major 2nd
522\3071 (203.973¢)
Consistency limit
3
Distinct consistency limit
3
| ← 3070edo | 3071edo | 3072edo → |
3071 equal divisions of the octave (abbreviated 3071edo or 3071ed2), also called 3071-tone equal temperament (3071tet) or 3071 equal temperament (3071et) when viewed under a regular temperament perspective, is the tuning system that divides the octave into 3071 equal parts of about 0.391 ¢ each. Each step represents a frequency ratio of 21/3071, or the 3071st root of 2.
Harmonics
| Harmonic | 3 | 5 | 7 | 9 | 11 | 13 | 15 | 17 | 19 | 21 | 23 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | -0.164 | +0.140 | -0.151 | +0.063 | +0.033 | -0.020 | -0.024 | +0.157 | -0.151 | +0.075 | +0.055 |
| Relative (%) | -42.0 | +35.9 | -38.7 | +16.0 | +8.5 | -5.0 | -6.1 | +40.2 | -38.5 | +19.3 | +14.1 | |
| Steps (reduced) |
4867 (1796) |
7131 (989) |
8621 (2479) |
9735 (522) |
10624 (1411) |
11364 (2151) |
11998 (2785) |
12553 (269) |
13045 (761) |
13489 (1205) |
13892 (1608) | |
|
Todo: explain its xenharmonic value |