192edt
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Prime factorization
26 × 3
Step size
9.90602¢
Octave
121\192edt (1198.63¢)
Consistency limit
14
Distinct consistency limit
14
 |
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| ← 191edt | 192edt | 193edt → |
192 equal divisions of the tritave, perfect twelfth, or 3rd harmonic (abbreviated 192edt or 192ed3), is a nonoctave tuning system that divides the interval of 3/1 into 192 equal parts of about 9.91 ¢ each. Each step represents a frequency ratio of 31/192, or the 192nd root of 3.
Harmonics
| Harmonic | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | -1.37 | +0.00 | -2.74 | -2.72 | -1.37 | -0.78 | -4.12 | +0.00 | -4.10 | -0.70 | -2.74 |
| Relative (%) | -13.9 | +0.0 | -27.7 | -27.5 | -13.9 | -7.9 | -41.6 | +0.0 | -41.3 | -7.0 | -27.7 | |
| Steps (reduced) |
121 (121) |
192 (0) |
242 (50) |
281 (89) |
313 (121) |
340 (148) |
363 (171) |
384 (0) |
402 (18) |
419 (35) |
434 (50) | |
| Harmonic | 13 | 14 | 15 | 16 | 17 | 18 | 19 | 20 | 21 | 22 | 23 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | -2.63 | -2.15 | -2.72 | +4.42 | -1.48 | -1.37 | +4.09 | +4.44 | -0.78 | -2.07 | +0.22 |
| Relative (%) | -26.6 | -21.7 | -27.5 | +44.6 | -14.9 | -13.9 | +41.2 | +44.8 | -7.9 | -20.9 | +2.2 | |
| Steps (reduced) |
448 (64) |
461 (77) |
473 (89) |
485 (101) |
495 (111) |
505 (121) |
515 (131) |
524 (140) |
532 (148) |
540 (156) |
548 (164) | |