1714833edo
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Prime factorization
32 × 190537
Step size
0.000699777¢
Fifth
1003113\1714833 (701.955¢) (→111457\190537)
Semitones (A1:m2)
162459:128934 (113.7¢ : 90.22¢)
Consistency limit
11
Distinct consistency limit
11
| This page presents a novelty topic. It may contain ideas which are less likely to find practical applications in xenharmonic music, or numbers that are impractically large, exceedingly complex, or chosen arbitrarily. Novelty topics are often developed by a single person or a small group. As such, this page may also contain idiosyncratic terms, notation, or conceptual frameworks. |
| ← 1714832edo | 1714833edo | 1714834edo → |
1714833 equal divisions of the octave (abbreviated 1714833edo or 1714833ed2), also called 1714833-tone equal temperament (1714833tet) or 1714833 equal temperament (1714833et) when viewed under a regular temperament perspective, is the tuning system that divides the octave into 1714833 equal parts of about 0.0007 ¢ each. Each step represents a frequency ratio of 21/1714833, or the 1714833rd root of 2.
Theory
This EDO seems to be at its best in the 2.3.5.7.13.17.29 subgroup.
| Harmonic | 2 | 3 | 5 | 7 | 11 | 13 | 17 | 19 | 23 | 29 | 31 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | +0.000000 | +0.000000 | +0.000055 | +0.000096 | +0.000349 | -0.000100 | -0.000116 | -0.000197 | -0.000224 | -0.000087 | -0.000225 |
| Relative (%) | +0.0 | +0.0 | +7.9 | +13.7 | +49.9 | -14.3 | -16.6 | -28.2 | -32.0 | -12.4 | -32.2 | |
| Steps (reduced) |
1714833 (0) |
2717946 (1003113) |
3981719 (552053) |
4814145 (1384479) |
5932348 (787849) |
6345636 (1201137) |
7009316 (149984) |
7284486 (425154) |
7757153 (897821) |
8330626 (1471294) |
8495619 (1636287) | |