184edt
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184 equal divisions of the tritave, perfect twelfth, or 3rd harmonic (abbreviated 184edt or 184ed3), is a nonoctave tuning system that divides the interval of 3/1 into 184 equal parts of about 10.3 ¢ each. Each step represents a frequency ratio of 31/184, or the 184th root of 3.
Harmonics
| Harmonic | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | -0.94 | +0.00 | -1.88 | +4.60 | -0.94 | +0.94 | -2.82 | +0.00 | +3.66 | +4.04 | -1.88 |
| Relative (%) | -9.1 | +0.0 | -18.2 | +44.5 | -9.1 | +9.1 | -27.3 | +0.0 | +35.4 | +39.1 | -18.2 | |
| Steps (reduced) |
116 (116) |
184 (0) |
232 (48) |
270 (86) |
300 (116) |
326 (142) |
348 (164) |
368 (0) |
386 (18) |
402 (34) |
416 (48) | |
| Harmonic | 13 | 14 | 15 | 16 | 17 | 18 | 19 | 20 | 21 | 22 | 23 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | +4.26 | +0.00 | +4.60 | -3.77 | +4.98 | -0.94 | -1.51 | +2.72 | +0.94 | +3.10 | -1.50 |
| Relative (%) | +41.2 | +0.0 | +44.5 | -36.4 | +48.2 | -9.1 | -14.6 | +26.3 | +9.1 | +30.0 | -14.5 | |
| Steps (reduced) |
430 (62) |
442 (74) |
454 (86) |
464 (96) |
475 (107) |
484 (116) |
493 (125) |
502 (134) |
510 (142) |
518 (150) |
525 (157) | |