190edt
Jump to navigation
Jump to search
Prime factorization
2 × 5 × 19
Step size
10.0103¢
Octave
120\190edt (1201.23¢) (→12\19edt)
Consistency limit
4
Distinct consistency limit
4
 |
This page is a stub. You can help the Xenharmonic Wiki by expanding it. |
| ← 189edt | 190edt | 191edt → |
190 equal divisions of the tritave, perfect twelfth, or 3rd harmonic (abbreviated 190edt or 190ed3), is a nonoctave tuning system that divides the interval of 3/1 into 190 equal parts of about 10 ¢ each. Each step represents a frequency ratio of 31/190, or the 190th root of 3.
Harmonics
| Harmonic | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | +1.23 | +0.00 | +2.47 | -3.45 | +1.23 | +4.64 | +3.70 | +0.00 | -2.22 | +2.95 | +2.47 |
| Relative (%) | +12.3 | +0.0 | +24.7 | -34.5 | +12.3 | +46.4 | +37.0 | +0.0 | -22.2 | +29.5 | +24.7 | |
| Steps (reduced) |
120 (120) |
190 (0) |
240 (50) |
278 (88) |
310 (120) |
337 (147) |
360 (170) |
380 (0) |
398 (18) |
415 (35) |
430 (50) | |
| Harmonic | 13 | 14 | 15 | 16 | 17 | 18 | 19 | 20 | 21 | 22 | 23 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | +4.04 | -4.13 | -3.45 | +4.94 | +0.09 | +1.23 | -2.28 | -0.98 | +4.64 | +4.19 | -2.70 |
| Relative (%) | +40.4 | -41.3 | -34.5 | +49.3 | +0.9 | +12.3 | -22.7 | -9.8 | +46.4 | +41.8 | -26.9 | |
| Steps (reduced) |
444 (64) |
456 (76) |
468 (88) |
480 (100) |
490 (110) |
500 (120) |
509 (129) |
518 (138) |
527 (147) |
535 (155) |
542 (162) | |