223edt
Jump to navigation
Jump to search
Prime factorization
223 (prime)
Step size
8.52895¢
Octave
141\223edt (1202.58¢)
Consistency limit
2
Distinct consistency limit
2
 |
This page is a stub. You can help the Xenharmonic Wiki by expanding it. |
| ← 222edt | 223edt | 224edt → |
223 equal divisions of the tritave, perfect twelfth, or 3rd harmonic (abbreviated 223edt or 223ed3), is a nonoctave tuning system that divides the interval of 3/1 into 223 equal parts of about 8.53 ¢ each. Each step represents a frequency ratio of 31/223, or the 223rd root of 3.
Harmonics
| Harmonic | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | +2.58 | +0.00 | -3.37 | +2.65 | +2.58 | +0.11 | -0.78 | +0.00 | -3.30 | +2.28 | -3.37 |
| Relative (%) | +30.3 | +0.0 | -39.5 | +31.1 | +30.3 | +1.3 | -9.2 | +0.0 | -38.6 | +26.7 | -39.5 | |
| Steps (reduced) |
141 (141) |
223 (0) |
281 (58) |
327 (104) |
364 (141) |
395 (172) |
422 (199) |
446 (0) |
467 (21) |
487 (41) |
504 (58) | |
| Harmonic | 13 | 14 | 15 | 16 | 17 | 18 | 19 | 20 | 21 | 22 | 23 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | +3.05 | +2.69 | +2.65 | +1.80 | -0.81 | +2.58 | +2.80 | -0.71 | +0.11 | -3.67 | -3.86 |
| Relative (%) | +35.8 | +31.5 | +31.1 | +21.1 | -9.5 | +30.3 | +32.8 | -8.4 | +1.3 | -43.0 | -45.3 | |
| Steps (reduced) |
521 (75) |
536 (90) |
550 (104) |
563 (117) |
575 (129) |
587 (141) |
598 (152) |
608 (162) |
618 (172) |
627 (181) |
636 (190) | |