216edt
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Prime factorization
23 × 33
Step size
8.80535¢
Octave
136\216edt (1197.53¢) (→17\27edt)
Consistency limit
2
Distinct consistency limit
2
 |
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| ← 215edt | 216edt | 217edt → |
216 equal divisions of the tritave, perfect twelfth, or 3rd harmonic (abbreviated 216edt or 216ed3), is a nonoctave tuning system that divides the interval of 3/1 into 216 equal parts of about 8.81 ¢ each. Each step represents a frequency ratio of 31/216, or the 216th root of 3.
Harmonics
| Harmonic | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | -2.47 | +0.00 | +3.86 | -3.82 | -2.47 | +3.62 | +1.39 | +0.00 | +2.51 | -4.00 | +3.86 |
| Relative (%) | -28.1 | +0.0 | +43.8 | -43.4 | -28.1 | +41.1 | +15.8 | +0.0 | +28.5 | -45.4 | +43.8 | |
| Steps (reduced) |
136 (136) |
216 (0) |
273 (57) |
316 (100) |
352 (136) |
383 (167) |
409 (193) |
432 (0) |
453 (21) |
471 (39) |
489 (57) | |
| Harmonic | 13 | 14 | 15 | 16 | 17 | 18 | 19 | 20 | 21 | 22 | 23 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | -2.63 | +1.15 | -3.82 | -1.09 | -0.38 | -2.47 | +0.78 | +0.04 | +3.62 | +2.33 | -4.18 |
| Relative (%) | -29.9 | +13.1 | -43.4 | -12.3 | -4.3 | -28.1 | +8.9 | +0.4 | +41.1 | +26.5 | -47.5 | |
| Steps (reduced) |
504 (72) |
519 (87) |
532 (100) |
545 (113) |
557 (125) |
568 (136) |
579 (147) |
589 (157) |
599 (167) |
608 (176) |
616 (184) | |