196edt
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Prime factorization
22 × 72
Step size
9.70385¢
Octave
124\196edt (1203.28¢) (→31\49edt)
Consistency limit
2
Distinct consistency limit
2
 |
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| ← 195edt | 196edt | 197edt → |
196 equal divisions of the tritave, perfect twelfth, or 3rd harmonic (abbreviated 196edt or 196ed3), is a nonoctave tuning system that divides the interval of 3/1 into 196 equal parts of about 9.7 ¢ each. Each step represents a frequency ratio of 31/196, or the 196th root of 3.
Harmonics
| Harmonic | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | +3.28 | +0.00 | -3.15 | -1.31 | +3.28 | -1.59 | +0.13 | +0.00 | +1.97 | +1.93 | -3.15 |
| Relative (%) | +33.8 | +0.0 | -32.4 | -13.5 | +33.8 | -16.4 | +1.3 | +0.0 | +20.3 | +19.9 | -32.4 | |
| Steps (reduced) |
124 (124) |
196 (0) |
247 (51) |
287 (91) |
320 (124) |
347 (151) |
371 (175) |
392 (0) |
411 (19) |
428 (36) |
443 (51) | |
| Harmonic | 13 | 14 | 15 | 16 | 17 | 18 | 19 | 20 | 21 | 22 | 23 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | +3.84 | +1.69 | -1.31 | +3.41 | -4.51 | +3.28 | -2.99 | -4.46 | -1.59 | -4.50 | -3.82 |
| Relative (%) | +39.5 | +17.4 | -13.5 | +35.1 | -46.5 | +33.8 | -30.8 | -45.9 | -16.4 | -46.3 | -39.4 | |
| Steps (reduced) |
458 (66) |
471 (79) |
483 (91) |
495 (103) |
505 (113) |
516 (124) |
525 (133) |
534 (142) |
543 (151) |
551 (159) |
559 (167) | |