28742edo
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Prime factorization
2 × 7 × 2053
Step size
0.0417507¢
Fifth
16813\28742 (701.955¢)
Semitones (A1:m2)
2723:2161 (113.7¢ : 90.22¢)
Consistency limit
23
Distinct consistency limit
23
Special properties
| ← 28741edo | 28742edo | 28743edo → |
28742 equal divisions of the octave (abbreviated 28742edo or 28742ed2), also called 28742-tone equal temperament (28742tet) or 28742 equal temperament (28742et) when viewed under a regular temperament perspective, is the tuning system that divides the octave into 28742 equal parts of about 0.0418 ¢ each. Each step represents a frequency ratio of 21/28742, or the 28742nd root of 2.
Harmonics
| Harmonic | 2 | 3 | 5 | 7 | 11 | 13 | 17 | 19 | 23 | 29 | 31 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | +0.0000 | +0.0003 | +0.0060 | +0.0002 | +0.0007 | -0.0016 | +0.0060 | +0.0028 | -0.0091 | -0.0037 | +0.0204 |
| Relative (%) | +0.0 | +0.8 | +14.3 | +0.5 | +1.6 | -3.8 | +14.3 | +6.7 | -21.8 | -9.0 | +49.0 | |
| Steps (reduced) |
28742 (0) |
45555 (16813) |
66737 (9253) |
80689 (23205) |
99431 (13205) |
106358 (20132) |
117482 (2514) |
122094 (7126) |
130016 (15048) |
139628 (24660) |
142394 (27426) | |