227edt
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Prime factorization
227 (prime)
Step size
8.37866¢
Octave
143\227edt (1198.15¢)
Consistency limit
4
Distinct consistency limit
4
 |
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227 equal divisions of the tritave, perfect twelfth, or 3rd harmonic (abbreviated 227edt or 227ed3), is a nonoctave tuning system that divides the interval of 3/1 into 227 equal parts of about 8.38 ¢ each. Each step represents a frequency ratio of 31/227, or the 227th root of 3.
Harmonics
| Harmonic | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | -1.85 | +0.00 | -3.70 | +3.78 | -1.85 | -0.61 | +2.82 | +0.00 | +1.93 | -3.88 | -3.70 |
| Relative (%) | -22.1 | +0.0 | -44.2 | +45.1 | -22.1 | -7.2 | +33.7 | +0.0 | +23.0 | -46.3 | -44.2 | |
| Steps (reduced) |
143 (143) |
227 (0) |
286 (59) |
333 (106) |
370 (143) |
402 (175) |
430 (203) |
454 (0) |
476 (22) |
495 (41) |
513 (59) | |
| Harmonic | 13 | 14 | 15 | 16 | 17 | 18 | 19 | 20 | 21 | 22 | 23 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | +0.16 | -2.46 | +3.78 | +0.97 | -3.44 | -1.85 | -3.29 | +0.07 | -0.61 | +2.64 | +1.09 |
| Relative (%) | +1.9 | -29.3 | +45.1 | +11.6 | -41.1 | -22.1 | -39.3 | +0.9 | -7.2 | +31.6 | +13.1 | |
| Steps (reduced) |
530 (76) |
545 (91) |
560 (106) |
573 (119) |
585 (131) |
597 (143) |
608 (154) |
619 (165) |
629 (175) |
639 (185) |
648 (194) | |