158edt
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Prime factorization
2 × 79
Step size
12.0377¢
Octave
100\158edt (1203.77¢) (→50\79edt)
Consistency limit
2
Distinct consistency limit
2
 |
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| ← 157edt | 158edt | 159edt → |
158 equal divisions of the tritave, perfect twelfth, or 3rd harmonic (abbreviated 158edt or 158ed3), is a nonoctave tuning system that divides the interval of 3/1 into 158 equal parts of about 12 ¢ each. Each step represents a frequency ratio of 31/158, or the 158th root of 3.
Harmonics
| Harmonic | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | +3.77 | +0.00 | -4.50 | -5.61 | +3.77 | +1.73 | -0.73 | +0.00 | -1.84 | +1.69 | -4.50 |
| Relative (%) | +31.3 | +0.0 | -37.4 | -46.6 | +31.3 | +14.3 | -6.1 | +0.0 | -15.3 | +14.0 | -37.4 | |
| Steps (reduced) |
100 (100) |
158 (0) |
199 (41) |
231 (73) |
258 (100) |
280 (122) |
299 (141) |
316 (0) |
331 (15) |
345 (29) |
357 (41) | |
| Harmonic | 13 | 14 | 15 | 16 | 17 | 18 | 19 | 20 | 21 | 22 | 23 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | +1.38 | +5.50 | -5.61 | +3.04 | -5.62 | +3.77 | -5.57 | +1.93 | +1.73 | +5.45 | +0.72 |
| Relative (%) | +11.5 | +45.7 | -46.6 | +25.2 | -46.7 | +31.3 | -46.3 | +16.0 | +14.3 | +45.3 | +6.0 | |
| Steps (reduced) |
369 (53) |
380 (64) |
389 (73) |
399 (83) |
407 (91) |
416 (100) |
423 (107) |
431 (115) |
438 (122) |
445 (129) |
451 (135) | |