618edo
Theory
| Harmonic | 3 | 5 | 7 | 9 | 11 | 13 | 15 | 17 | 19 | 21 | 23 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | +0.958 | +0.094 | +0.106 | -0.027 | +0.138 | +0.249 | -0.890 | -0.101 | -0.426 | -0.878 | +0.852 |
| Relative (%) | +49.3 | +4.8 | +5.5 | -1.4 | +7.1 | +12.8 | -45.8 | -5.2 | -21.9 | -45.2 | +43.9 | |
| Steps (reduced) |
980 (362) |
1435 (199) |
1735 (499) |
1959 (105) |
2138 (284) |
2287 (433) |
2414 (560) |
2526 (54) |
2625 (153) |
2714 (242) |
2796 (324) | |
618edo is excellent in the no-threes subgroups. It tempers out the jacobin comma in the no-threes 13-limit, 14875/14872 in the no-threes 17-limit and 2432/2431 and 5491/5488 in the no-threes 19-limit.
The fact that the jacobin comma is the only one notable among these, suggests just how 3/2-centric music is, even in the xenharmonic practices.