159edt
Jump to navigation
Jump to search
Prime factorization
3 × 53
Step size
11.962¢
Octave
100\159edt (1196.2¢)
Consistency limit
2
Distinct consistency limit
2
 |
This page is a stub. You can help the Xenharmonic Wiki by expanding it. |
| ← 158edt | 159edt | 160edt → |
159 equal divisions of the tritave, perfect twelfth, or 3rd harmonic (abbreviated 159edt or 159ed3), is a nonoctave tuning system that divides the interval of 3/1 into 159 equal parts of about 12 ¢ each. Each step represents a frequency ratio of 31/159, or the 159th root of 3.
Harmonics
| Harmonic | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | -3.80 | +0.00 | +4.36 | +0.83 | -3.80 | +4.45 | +0.56 | +0.00 | -2.97 | -0.51 | +4.36 |
| Relative (%) | -31.8 | +0.0 | +36.4 | +6.9 | -31.8 | +37.2 | +4.7 | +0.0 | -24.9 | -4.3 | +36.4 | |
| Steps (reduced) |
100 (100) |
159 (0) |
201 (42) |
233 (74) |
259 (100) |
282 (123) |
301 (142) |
318 (0) |
333 (15) |
347 (29) |
360 (42) | |
| Harmonic | 13 | 14 | 15 | 16 | 17 | 18 | 19 | 20 | 21 | 22 | 23 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | -2.63 | +0.65 | +0.83 | -3.25 | -0.54 | -3.80 | -1.71 | +5.19 | +4.45 | -4.31 | +2.47 |
| Relative (%) | -22.0 | +5.4 | +6.9 | -27.1 | -4.5 | -31.8 | -14.3 | +43.4 | +37.2 | -36.1 | +20.6 | |
| Steps (reduced) |
371 (53) |
382 (64) |
392 (74) |
401 (83) |
410 (92) |
418 (100) |
426 (108) |
434 (116) |
441 (123) |
447 (129) |
454 (136) | |