182edt
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Prime factorization
2 × 7 × 13
Step size
10.4503¢
Octave
115\182edt (1201.78¢)
Consistency limit
5
Distinct consistency limit
5
 |
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| ← 181edt | 182edt | 183edt → |
182 equal divisions of the tritave, perfect twelfth, or 3rd harmonic (abbreviated 182edt or 182ed3), is a nonoctave tuning system that divides the interval of 3/1 into 182 equal parts of about 10.5 ¢ each. Each step represents a frequency ratio of 31/182, or the 182nd root of 3.
Harmonics
| Harmonic | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | +1.78 | +0.00 | +3.57 | +3.92 | +1.78 | -3.83 | -5.10 | +0.00 | -4.75 | -2.55 | +3.57 |
| Relative (%) | +17.1 | +0.0 | +34.2 | +37.5 | +17.1 | -36.6 | -48.8 | +0.0 | -45.4 | -24.4 | +34.2 | |
| Steps (reduced) |
115 (115) |
182 (0) |
230 (48) |
267 (85) |
297 (115) |
322 (140) |
344 (162) |
364 (0) |
381 (17) |
397 (33) |
412 (48) | |
| Harmonic | 13 | 14 | 15 | 16 | 17 | 18 | 19 | 20 | 21 | 22 | 23 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | +0.85 | -2.04 | +3.92 | -3.31 | -3.76 | +1.78 | +2.23 | -2.96 | -3.83 | -0.76 | -4.57 |
| Relative (%) | +8.1 | -19.6 | +37.5 | -31.7 | -36.0 | +17.1 | +21.4 | -28.4 | -36.6 | -7.3 | -43.7 | |
| Steps (reduced) |
425 (61) |
437 (73) |
449 (85) |
459 (95) |
469 (105) |
479 (115) |
488 (124) |
496 (132) |
504 (140) |
512 (148) |
519 (155) | |