183edt
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Prime factorization
3 × 61
Step size
10.3932¢
Octave
115\183edt (1195.22¢)
Consistency limit
2
Distinct consistency limit
2
 |
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| ← 182edt | 183edt | 184edt → |
183 equal divisions of the tritave, perfect twelfth, or 3rd harmonic (abbreviated 183edt or 183ed3), is a nonoctave tuning system that divides the interval of 3/1 into 183 equal parts of about 10.4 ¢ each. Each step represents a frequency ratio of 31/183, or the 183rd root of 3.
Harmonics
| Harmonic | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | -4.78 | +0.00 | +0.83 | -0.94 | -4.78 | -1.43 | -3.95 | +0.00 | +4.67 | -4.43 | +0.83 |
| Relative (%) | -46.0 | +0.0 | +8.0 | -9.0 | -46.0 | -13.8 | -38.0 | +0.0 | +45.0 | -42.6 | +8.0 | |
| Steps (reduced) |
115 (115) |
183 (0) |
231 (48) |
268 (85) |
298 (115) |
324 (141) |
346 (163) |
366 (0) |
384 (18) |
399 (33) |
414 (48) | |
| Harmonic | 13 | 14 | 15 | 16 | 17 | 18 | 19 | 20 | 21 | 22 | 23 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | -2.63 | +4.18 | -0.94 | +1.66 | +0.63 | -4.78 | -4.85 | -0.11 | -1.43 | +1.18 | -3.03 |
| Relative (%) | -25.3 | +40.2 | -9.0 | +15.9 | +6.1 | -46.0 | -46.6 | -1.0 | -13.8 | +11.3 | -29.1 | |
| Steps (reduced) |
427 (61) |
440 (74) |
451 (85) |
462 (96) |
472 (106) |
481 (115) |
490 (124) |
499 (133) |
507 (141) |
515 (149) |
522 (156) | |