1590edo: Difference between revisions
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Created page with "{{Infobox ET}} {{EDO intro|1590}} == Theory == 1590edo divides the steps of 159edo into 10, but unfortunately, it only has a consistency limit of 9. === Prime harmonics ===..." |
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{{EDO intro|1590}} | {{EDO intro|1590}} | ||
1590edo is consistent in the [[9-odd-limit]]. Aside from that, it is a strong 2.3.17/10.7.11.13.19 subgroup tuning. It shares the 2.3.11 mapping with [[159edo]], step of which it divides in 10. | |||
1590edo | |||
=== Prime harmonics === | === Prime harmonics === | ||
{{Harmonics in equal|15900}} | {{Harmonics in equal|15900}} | ||
Revision as of 20:44, 14 December 2023
| ← 1589edo | 1590edo | 1591edo → |
1590edo is consistent in the 9-odd-limit. Aside from that, it is a strong 2.3.17/10.7.11.13.19 subgroup tuning. It shares the 2.3.11 mapping with 159edo, step of which it divides in 10.
Prime harmonics
| Harmonic | 2 | 3 | 5 | 7 | 11 | 13 | 17 | 19 | 23 | 29 | 31 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | +0.0000 | +0.0073 | +0.0259 | +0.0043 | +0.0028 | +0.0006 | +0.0257 | -0.0036 | +0.0275 | +0.0077 | +0.0210 |
| Relative (%) | +0.0 | +9.6 | +34.3 | +5.7 | +3.7 | +0.8 | +34.1 | -4.7 | +36.5 | +10.2 | +27.9 | |
| Steps (reduced) |
15900 (0) |
25201 (9301) |
36919 (5119) |
44637 (12837) |
55005 (7305) |
58837 (11137) |
64991 (1391) |
67542 (3942) |
71925 (8325) |
77242 (13642) |
78772 (15172) | |