155edt
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Prime factorization
5 × 31
Step size
12.2707¢
Octave
98\155edt (1202.53¢)
Consistency limit
5
Distinct consistency limit
5
 |
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| ← 154edt | 155edt | 156edt → |
155 equal divisions of the tritave, perfect twelfth, or 3rd harmonic (abbreviated 155edt or 155ed3), is a nonoctave tuning system that divides the interval of 3/1 into 155 equal parts of about 12.3 ¢ each. Each step represents a frequency ratio of 31/155, or the 155th root of 3.
Harmonics
| Harmonic | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | +2.53 | +0.00 | +5.05 | -0.87 | +2.53 | +5.61 | -4.69 | +0.00 | +1.66 | -3.83 | +5.05 |
| Relative (%) | +20.6 | +0.0 | +41.2 | -7.1 | +20.6 | +45.7 | -38.2 | +0.0 | +13.5 | -31.2 | +41.2 | |
| Steps (reduced) |
98 (98) |
155 (0) |
196 (41) |
227 (72) |
253 (98) |
275 (120) |
293 (138) |
310 (0) |
325 (15) |
338 (28) |
351 (41) | |
| Harmonic | 13 | 14 | 15 | 16 | 17 | 18 | 19 | 20 | 21 | 22 | 23 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | +1.46 | -4.13 | -0.87 | -2.17 | +3.32 | +2.53 | -5.18 | +4.18 | +5.61 | -1.30 | -4.63 |
| Relative (%) | +11.9 | -33.7 | -7.1 | -17.6 | +27.0 | +20.6 | -42.2 | +34.1 | +45.7 | -10.6 | -37.8 | |
| Steps (reduced) |
362 (52) |
372 (62) |
382 (72) |
391 (81) |
400 (90) |
408 (98) |
415 (105) |
423 (113) |
430 (120) |
436 (126) |
442 (132) | |