618edo: Difference between revisions
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There're a lot of notable commas in 2.9... subgroup and comma's notability is non sequitur for the out-of-place "how music is 3/2-centric" |
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=== Odd harmonics === | === Odd harmonics === | ||
{{Harmonics in equal|618}} | {{Harmonics in equal|618}} | ||
[[Category:Equal divisions of the octave]] | |||
Revision as of 15:47, 18 April 2022
Theory
As every other step of 1236edo, 618edo is excellent in the 2.9.5.7.11.13.17 subgroup, where it notably tempers out 2601/2600, 4096/4095, 5832/5831, 6656/6655, 9801/9800, and 10648/10647. With a reasonable approximation of 19, it further tempers out 2926/2925, 5985/5984, and 6175/6174.
Odd harmonics
| 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) | |