518edo
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| ← 517edo | 518edo | 519edo → |
518 equal divisions of the octave (abbreviated 518edo or 518ed2), also called 518-tone equal temperament (518tet) or 518 equal temperament (518et) when viewed under a regular temperament perspective, is the tuning system that divides the octave into 518 equal parts of about 2.32 ¢ each. Each step represents a frequency ratio of 21/518, or the 518th root of 2.
This tuning may be of interest to those who compose in larger edos as it is consistent in the 15-odd-limit and supports the rank-2 74th-octave 296 & 518 temperament. This means it tempers out commas including 9801/9800 and 5250987/5242880, the mitonisma.
| Harmonic | 2 | 3 | 5 | 7 | 11 | 13 | 17 | 19 | 23 | 29 | 31 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | +0.00 | -0.02 | +0.56 | -0.49 | +0.03 | +0.40 | -0.71 | -0.99 | -0.48 | -1.01 | -0.63 |
| Relative (%) | +0.0 | -1.1 | +24.1 | -21.0 | +1.4 | +17.2 | -30.6 | -42.6 | -20.5 | -43.4 | -27.4 | |
| Steps (reduced) |
518 (0) |
821 (303) |
1203 (167) |
1454 (418) |
1792 (238) |
1917 (363) |
2117 (45) |
2200 (128) |
2343 (271) |
2516 (444) |
2566 (494) | |