160edt
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Prime factorization
25 × 5
Step size
11.8872¢
Octave
101\160edt (1200.61¢)
Consistency limit
5
Distinct consistency limit
5
 |
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| ← 159edt | 160edt | 161edt → |
160 equal divisions of the tritave, perfect twelfth, or 3rd harmonic (abbreviated 160edt or 160ed3), is a nonoctave tuning system that divides the interval of 3/1 into 160 equal parts of about 11.9 ¢ each. Each step represents a frequency ratio of 31/160, or the 160th root of 3.
Harmonics
| Harmonic | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | +0.61 | +0.00 | +1.22 | -4.70 | +0.61 | -4.74 | +1.83 | +0.00 | -4.10 | -2.68 | +1.22 |
| Relative (%) | +5.1 | +0.0 | +10.2 | -39.6 | +5.1 | -39.9 | +15.4 | +0.0 | -34.5 | -22.5 | +10.2 | |
| Steps (reduced) |
101 (101) |
160 (0) |
202 (42) |
234 (74) |
261 (101) |
283 (123) |
303 (143) |
320 (0) |
335 (15) |
349 (29) |
362 (42) | |
| Harmonic | 13 | 14 | 15 | 16 | 17 | 18 | 19 | 20 | 21 | 22 | 23 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | +5.29 | -4.13 | -4.70 | +2.44 | +4.47 | +0.61 | +2.10 | -3.49 | -4.74 | -2.07 | +4.18 |
| Relative (%) | +44.5 | -34.8 | -39.6 | +20.5 | +37.6 | +5.1 | +17.7 | -29.3 | -39.9 | -17.4 | +35.2 | |
| Steps (reduced) |
374 (54) |
384 (64) |
394 (74) |
404 (84) |
413 (93) |
421 (101) |
429 (109) |
436 (116) |
443 (123) |
450 (130) |
457 (137) | |