215edt
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Prime factorization
5 × 43
Step size
8.8463¢
Octave
136\215edt (1203.1¢)
Consistency limit
2
Distinct consistency limit
2
 |
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| ← 214edt | 215edt | 216edt → |
215 equal divisions of the tritave, perfect twelfth, or 3rd harmonic (abbreviated 215edt or 215ed3), is a nonoctave tuning system that divides the interval of 3/1 into 215 equal parts of about 8.85 ¢ each. Each step represents a frequency ratio of 31/215, or the 215th root of 3.
Harmonics
| Harmonic | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | +3.10 | +0.00 | -2.65 | +0.27 | +3.10 | +1.62 | +0.45 | +0.00 | +3.37 | -2.40 | -2.65 |
| Relative (%) | +35.0 | +0.0 | -30.0 | +3.1 | +35.0 | +18.3 | +5.0 | +0.0 | +38.1 | -27.2 | -30.0 | |
| Steps (reduced) |
136 (136) |
215 (0) |
271 (56) |
315 (100) |
351 (136) |
381 (166) |
407 (192) |
430 (0) |
451 (21) |
469 (39) |
486 (56) | |
| Harmonic | 13 | 14 | 15 | 16 | 17 | 18 | 19 | 20 | 21 | 22 | 23 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | +0.32 | -4.13 | +0.27 | +3.54 | -4.10 | +3.10 | -2.04 | -2.38 | +1.62 | +0.69 | +3.36 |
| Relative (%) | +3.6 | -46.7 | +3.1 | +40.0 | -46.4 | +35.0 | -23.1 | -26.9 | +18.3 | +7.9 | +37.9 | |
| Steps (reduced) |
502 (72) |
516 (86) |
530 (100) |
543 (113) |
554 (124) |
566 (136) |
576 (146) |
586 (156) |
596 (166) |
605 (175) |
614 (184) | |