1517edo
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| ← 1516edo | 1517edo | 1518edo → |
The 1517 equal divisions of the octave, or the 1517-tone equal temperament (1517tet), 1517 equal temperament (1517et) when viewed from a regular temperament perspective, divides the octave into 1517 equal parts of about 0.791 cents each.
Theory
1517edo is a dual fifths system with a consistency limit of only 5.
The first 5 prime harmonics which are approximated below 25% are: 7, 11, 19, 23, 59. In the 2.7.11.19.23.59 subgroup, 1517edo has a comma basis {52877/52864, 157757/157696, 194672/194579, [18 -12 2 1 1 0⟩, [44 -4 -9 1 0 -1⟩}.
| Harmonic | 3 | 5 | 7 | 9 | 11 | 13 | 15 | 17 | 19 | 21 | 23 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | -0.307 | -0.289 | +0.192 | +0.177 | +0.033 | +0.342 | +0.195 | +0.252 | -0.084 | -0.115 | -0.193 |
| Relative (%) | -38.8 | -36.5 | +24.3 | +22.4 | +4.2 | +43.3 | +24.7 | +31.9 | -10.6 | -14.6 | -24.3 | |
| Steps (reduced) |
2404 (887) |
3522 (488) |
4259 (1225) |
4809 (258) |
5248 (697) |
5614 (1063) |
5927 (1376) |
6201 (133) |
6444 (376) |
6663 (595) |
6862 (794) | |