214edt
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Prime factorization
2 × 107
Step size
8.88764¢
Octave
135\214edt (1199.83¢)
Consistency limit
4
Distinct consistency limit
4
 |
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| ← 213edt | 214edt | 215edt → |
214 equal divisions of the tritave, perfect twelfth, or 3rd harmonic (abbreviated 214edt or 214ed3), is a nonoctave tuning system that divides the interval of 3/1 into 214 equal parts of about 8.89 ¢ each. Each step represents a frequency ratio of 31/214, or the 214th root of 3.
Harmonics
| Harmonic | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | -0.17 | +0.00 | -0.34 | +4.41 | -0.17 | -0.41 | -0.51 | +0.00 | +4.24 | -0.79 | -0.34 |
| Relative (%) | -1.9 | +0.0 | -3.8 | +49.6 | -1.9 | -4.6 | -5.7 | +0.0 | +47.7 | -8.9 | -3.8 | |
| Steps (reduced) |
135 (135) |
214 (0) |
270 (56) |
314 (100) |
349 (135) |
379 (165) |
405 (191) |
428 (0) |
449 (21) |
467 (39) |
484 (56) | |
| Harmonic | 13 | 14 | 15 | 16 | 17 | 18 | 19 | 20 | 21 | 22 | 23 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | +3.29 | -0.58 | +4.41 | -0.67 | +1.02 | -0.17 | +3.99 | +4.07 | -0.41 | -0.96 | +2.07 |
| Relative (%) | +37.0 | -6.5 | +49.6 | -7.6 | +11.5 | -1.9 | +44.9 | +45.8 | -4.6 | -10.8 | +23.3 | |
| Steps (reduced) |
500 (72) |
514 (86) |
528 (100) |
540 (112) |
552 (124) |
563 (135) |
574 (146) |
584 (156) |
593 (165) |
602 (174) |
611 (183) | |