222edt
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Prime factorization
2 × 3 × 37
Step size
8.56736¢
Octave
140\222edt (1199.43¢) (→70\111edt)
Consistency limit
10
Distinct consistency limit
10
 |
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| ← 221edt | 222edt | 223edt → |
222 equal divisions of the tritave, perfect twelfth, or 3rd harmonic (abbreviated 222edt or 222ed3), is a nonoctave tuning system that divides the interval of 3/1 into 222 equal parts of about 8.57 ¢ each. Each step represents a frequency ratio of 31/222, or the 222nd root of 3.
Harmonics
| Harmonic | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | -0.57 | +0.00 | -1.14 | -1.92 | -0.57 | -1.85 | -1.71 | +0.00 | -2.49 | +3.85 | -1.14 |
| Relative (%) | -6.6 | +0.0 | -13.3 | -22.4 | -6.6 | -21.6 | -19.9 | +0.0 | -29.1 | +45.0 | -13.3 | |
| Steps (reduced) |
140 (140) |
222 (0) |
280 (58) |
325 (103) |
362 (140) |
393 (171) |
420 (198) |
444 (0) |
465 (21) |
485 (41) |
502 (58) | |
| Harmonic | 13 | 14 | 15 | 16 | 17 | 18 | 19 | 20 | 21 | 22 | 23 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | -2.63 | -2.42 | -1.92 | -2.28 | +4.14 | -0.57 | +0.07 | -3.06 | -1.85 | +3.29 | +3.43 |
| Relative (%) | -30.7 | -28.3 | -22.4 | -26.6 | +48.4 | -6.6 | +0.8 | -35.7 | -21.6 | +38.3 | +40.1 | |
| Steps (reduced) |
518 (74) |
533 (89) |
547 (103) |
560 (116) |
573 (129) |
584 (140) |
595 (151) |
605 (161) |
615 (171) |
625 (181) |
634 (190) | |