185edt
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Prime factorization
5 × 37
Step size
10.2808¢
Octave
117\185edt (1202.86¢)
Consistency limit
2
Distinct consistency limit
2
 |
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| ← 184edt | 185edt | 186edt → |
185 equal divisions of the tritave, perfect twelfth, or 3rd harmonic (abbreviated 185edt or 185ed3), is a nonoctave tuning system that divides the interval of 3/1 into 185 equal parts of about 10.3 ¢ each. Each step represents a frequency ratio of 31/185, or the 185th root of 3.
Harmonics
| Harmonic | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | +2.86 | +0.00 | -4.56 | -0.21 | +2.86 | +3.29 | -1.71 | +0.00 | +2.65 | +2.14 | -4.56 |
| Relative (%) | +27.8 | +0.0 | -44.4 | -2.0 | +27.8 | +32.0 | -16.6 | +0.0 | +25.8 | +20.8 | -44.4 | |
| Steps (reduced) |
117 (117) |
185 (0) |
233 (48) |
271 (86) |
302 (117) |
328 (143) |
350 (165) |
370 (0) |
388 (18) |
404 (34) |
418 (48) | |
| Harmonic | 13 | 14 | 15 | 16 | 17 | 18 | 19 | 20 | 21 | 22 | 23 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | +0.79 | -4.13 | -0.21 | +1.15 | -1.00 | +2.86 | +1.78 | -4.77 | +3.29 | +5.00 | +0.01 |
| Relative (%) | +7.7 | -40.2 | -2.0 | +11.2 | -9.7 | +27.8 | +17.3 | -46.4 | +32.0 | +48.6 | +0.1 | |
| Steps (reduced) |
432 (62) |
444 (74) |
456 (86) |
467 (97) |
477 (107) |
487 (117) |
496 (126) |
504 (134) |
513 (143) |
521 (151) |
528 (158) | |