181edt
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Prime factorization
181 (prime)
Step size
10.508¢
Octave
114\181edt (1197.92¢)
Consistency limit
5
Distinct consistency limit
5
 |
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| ← 180edt | 181edt | 182edt → |
181 equal divisions of the tritave, perfect twelfth, or 3rd harmonic (abbreviated 181edt or 181ed3), is a nonoctave tuning system that divides the interval of 3/1 into 181 equal parts of about 10.5 ¢ each. Each step represents a frequency ratio of 31/181, or the 181st root of 3.
Harmonics
| Harmonic | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | -2.08 | +0.00 | -4.17 | -1.68 | -2.08 | +4.25 | +4.26 | +0.00 | -3.77 | -0.64 | -4.17 |
| Relative (%) | -19.8 | +0.0 | -39.7 | -16.0 | -19.8 | +40.5 | +40.5 | +0.0 | -35.8 | -6.1 | -39.7 | |
| Steps (reduced) |
114 (114) |
181 (0) |
228 (47) |
265 (84) |
295 (114) |
321 (140) |
343 (162) |
362 (0) |
379 (17) |
395 (33) |
409 (47) | |
| Harmonic | 13 | 14 | 15 | 16 | 17 | 18 | 19 | 20 | 21 | 22 | 23 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | +4.37 | +2.17 | -1.68 | +2.17 | +2.30 | -2.08 | -1.11 | +4.66 | +4.25 | -2.73 | +4.38 |
| Relative (%) | +41.6 | +20.7 | -16.0 | +20.7 | +21.9 | -19.8 | -10.6 | +44.3 | +40.5 | -25.9 | +41.7 | |
| Steps (reduced) |
423 (61) |
435 (73) |
446 (84) |
457 (95) |
467 (105) |
476 (114) |
485 (123) |
494 (132) |
502 (140) |
509 (147) |
517 (155) | |