161edt
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Prime factorization
7 × 23
Step size
11.8134¢
Octave
102\161edt (1204.97¢)
Consistency limit
2
Distinct consistency limit
2
 |
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| ← 160edt | 161edt | 162edt → |
161 equal divisions of the tritave, perfect twelfth, or 3rd harmonic (abbreviated 161edt or 161ed3), is a nonoctave tuning system that divides the interval of 3/1 into 161 equal parts of about 11.8 ¢ each. Each step represents a frequency ratio of 31/161, or the 161st root of 3.
Harmonics
| Harmonic | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | +4.97 | +0.00 | -1.88 | +1.65 | +4.97 | -2.01 | +3.08 | +0.00 | -5.20 | -4.82 | -1.88 |
| Relative (%) | +42.0 | +0.0 | -15.9 | +13.9 | +42.0 | -17.0 | +26.1 | +0.0 | -44.0 | -40.8 | -15.9 | |
| Steps (reduced) |
102 (102) |
161 (0) |
203 (42) |
236 (75) |
263 (102) |
285 (124) |
305 (144) |
322 (0) |
337 (15) |
351 (29) |
364 (42) | |
| Harmonic | 13 | 14 | 15 | 16 | 17 | 18 | 19 | 20 | 21 | 22 | 23 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | +1.31 | +2.95 | +1.65 | -3.77 | -2.40 | +4.97 | +5.87 | -0.24 | -2.01 | +0.15 | +5.88 |
| Relative (%) | +11.0 | +25.0 | +13.9 | -31.9 | -20.3 | +42.0 | +49.7 | -2.0 | -17.0 | +1.2 | +49.8 | |
| Steps (reduced) |
376 (54) |
387 (65) |
397 (75) |
406 (84) |
415 (93) |
424 (102) |
432 (110) |
439 (117) |
446 (124) |
453 (131) |
460 (138) | |