28000edo
| ← 27999edo | 28000edo | 28001edo → |
This edo is notable for both being quite composite and having great approximations of every prime harmonic up to 19 apart from the 13th, which 84000edo corrects by slicing a step of 28000edo into 3 equal parts. Given its size and that there are other edos that are a potentially better approximation of the harmonic series in its size range, 28000edo doesn't seem to be especially practical for musical applications.
| Harmonic | 2 | 3 | 5 | 7 | 11 | 13 | 17 | 19 | 23 | 29 | 31 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | +0.0000 | +0.0021 | +0.0006 | +0.0027 | -0.0037 | -0.0134 | +0.0017 | +0.0013 | +0.0114 | -0.0201 | -0.0213 |
| Relative (%) | +0.0 | +5.0 | +1.3 | +6.2 | -8.5 | -31.2 | +4.0 | +3.0 | +26.5 | -46.8 | -49.7 | |
| Steps (reduced) |
28000 (0) |
44379 (16379) |
65014 (9014) |
78606 (22606) |
96864 (12864) |
103612 (19612) |
114449 (2449) |
118942 (6942) |
126660 (14660) |
136023 (24023) |
138717 (26717) | |