User:MisterShafXen/23ed8
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Prime factorization
23 (prime)
Step size
156.522 ¢
Octave
8\23ed8 (1252.17 ¢)
Twelfth
12\23ed8 (1878.26 ¢)
Consistency limit
3
Distinct consistency limit
3
| ← 22ed8 | 23ed8 | 24ed8 → |
23 equal divisions of the 8th harmonic (abbreviated 23ed8) is a nonoctave tuning system that divides the interval of 8/1 into 23 equal parts of about 157 ¢ each. Each step represents a frequency ratio of 81/23, or the 23rd root of 8.
Harmonics
| Harmonic | 2 | 3 | 5 | 7 | 11 | 13 | 17 | 19 | 23 | 29 | 31 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | +0.0 | -2.0 | +13.7 | +31.2 | +48.7 | -40.5 | -5.0 | +2.5 | -28.3 | -29.6 | -45.0 |
| Relative (%) | +0.0 | -2.0 | +13.7 | +31.2 | +48.7 | -40.5 | -5.0 | +2.5 | -28.3 | -29.6 | -45.0 | |
| Steps (reduced) |
12 (0) |
19 (7) |
28 (4) |
34 (10) |
42 (6) |
44 (8) |
49 (1) |
51 (3) |
54 (6) |
58 (10) |
59 (11) | |