User:Aura/1905370edo
Jump to navigation
Jump to search
Prime factorization
2 × 5 × 190537
Step size
0.000629799 ¢
Fifth
1114570\1905370 (701.955 ¢) (→ 111457\190537)
Semitones (A1:m2)
180510:143260 (113.7 ¢ : 90.22 ¢)
Consistency limit
17
Distinct consistency limit
17
| ← 1905369edo | 1905370edo | 1905371edo → |
1905370 equal divisions of the octave (abbreviated 1905370edo or 1905370ed2), also called 1905370-tone equal temperament (1905370tet) or 1905370 equal temperament (1905370et) when viewed under a regular temperament perspective, is the tuning system that divides the octave into 1905370 equal parts of about 0.00063 ¢ each. Each step represents a frequency ratio of 21/1905370, or the 1905370th root of 2.
This edo has a consistency limit of 17, but seems to be at its best in the 2.3.5.7.13.17 subgroup. It tempers out the archangelic comma in the 3-limit.
Prime harmonics
| Harmonic | 29 | 31 | 37 | 41 | 43 | 47 | 53 | 59 | 61 | |
|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | -0.000157 | -0.000015 | -0.000100 | +0.000086 | -0.000048 | +0.000025 | +0.000128 | +0.000260 | -0.000001 |
| Relative (%) | -24.9 | -2.4 | -15.9 | +13.7 | -7.6 | +4.0 | +20.3 | +41.3 | -0.1 | |
| Steps (reduced) |
9256251 (1634771) |
9439577 (1818097) |
9925936 (399086) |
10208119 (681269) |
10339042 (812192) |
10583547 (1056697) |
10913808 (1386958) |
11208612 (1681762) |
11300249 (1773399) | |
| Harmonic | 29 | 31 | 37 | 41 | 43 | 47 | 53 | 59 | 61 | |
|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | -0.000157 | -0.000015 | -0.000100 | +0.000086 | -0.000048 | +0.000025 | +0.000128 | +0.000260 | -0.000001 |
| Relative (%) | -24.9 | -2.4 | -15.9 | +13.7 | -7.6 | +4.0 | +20.3 | +41.3 | -0.1 | |
| Steps (reduced) |
9256251 (1634771) |
9439577 (1818097) |
9925936 (399086) |
10208119 (681269) |
10339042 (812192) |
10583547 (1056697) |
10913808 (1386958) |
11208612 (1681762) |
11300249 (1773399) | |