220edt
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Prime factorization
22 × 5 × 11
Step size
8.64525¢
Octave
139\220edt (1201.69¢)
Consistency limit
4
Distinct consistency limit
4
 |
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220 equal divisions of the tritave, perfect twelfth, or 3rd harmonic (abbreviated 220edt or 220ed3), is a nonoctave tuning system that divides the interval of 3/1 into 220 equal parts of about 8.65 ¢ each. Each step represents a frequency ratio of 31/220, or the 220th root of 3.
Harmonics
| Harmonic | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | +1.69 | +0.00 | +3.38 | -2.54 | +1.69 | +2.82 | -3.58 | +0.00 | -0.85 | -1.60 | +3.38 |
| Relative (%) | +19.5 | +0.0 | +39.1 | -29.4 | +19.5 | +32.6 | -41.4 | +0.0 | -9.9 | -18.5 | +39.1 | |
| Steps (reduced) |
139 (139) |
220 (0) |
278 (58) |
322 (102) |
359 (139) |
390 (170) |
416 (196) |
440 (0) |
461 (21) |
480 (40) |
498 (58) | |
| Harmonic | 13 | 14 | 15 | 16 | 17 | 18 | 19 | 20 | 21 | 22 | 23 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | +3.13 | -4.13 | -2.54 | -1.89 | -3.10 | +1.69 | +3.18 | +0.84 | +2.82 | +0.09 | +0.94 |
| Relative (%) | +36.2 | -47.8 | -29.4 | -21.8 | -35.8 | +19.5 | +36.8 | +9.7 | +32.6 | +1.1 | +10.9 | |
| Steps (reduced) |
514 (74) |
528 (88) |
542 (102) |
555 (115) |
567 (127) |
579 (139) |
590 (150) |
600 (160) |
610 (170) |
619 (179) |
628 (188) | |