6181edt
| ← 6180edt | 6181edt | 6182edt → |
6181 equal divisions of the tritave, perfect twelfth, or 3rd harmonic (abbreviated 6181edt or 6181ed3), is a nonoctave tuning system that divides the interval of 3/1 into 6181 equal parts of about 0.308 ¢ each. Each step represents a frequency ratio of 31/6181, or the 6181st root of 3.
6181edt supports Izar.
Harmonics
| Harmonic | 2 | 3 | 5 | 7 | 11 | 13 | 17 | 19 | 23 | |
|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | +0.069 | +0.000 | -0.000 | -0.018 | -0.003 | +0.034 | -0.059 | +0.009 | +0.036 |
| Relative (%) | +22.3 | +0.0 | -0.1 | -5.8 | -1.1 | +11.1 | -19.3 | +3.1 | +11.8 | |
| Steps (reduced) |
3900 (3900) |
6181 (0) |
9055 (2874) |
10948 (4767) |
13491 (1129) |
14431 (2069) |
15940 (3578) |
16566 (4204) |
17641 (5279) | |
| Harmonic | 25 | 27 | 29 | 31 | 33 | 35 | 37 | 39 | 41 | 43 | 45 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | -0.001 | +0.000 | -0.013 | -0.080 | -0.003 | -0.018 | +0.091 | +0.034 | -0.079 | -0.068 | -0.000 |
| Relative (%) | -0.3 | +0.0 | -4.2 | -26.0 | -1.1 | -5.9 | +29.5 | +11.1 | -25.7 | -22.1 | -0.1 | |
| Steps (reduced) |
18110 (5748) |
18543 (0) |
18945 (402) |
19320 (777) |
19672 (1129) |
20003 (1460) |
20316 (1773) |
20612 (2069) |
20893 (2350) |
21161 (2618) |
21417 (2874) | |
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