1665edo: Difference between revisions
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Created page with "{{EDO intro|1665}} 1665edo provides the optimal patent val for the rhodium temperament in the 11-limit and also in the 13-limit." |
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{{Infobox ET}} | |||
{{EDO intro|1665}} | {{EDO intro|1665}} | ||
1665edo is a very strong 5-limit (as well as 2.3.5.11 subgroup) tuning and it is consistent in the 15-odd-limit. In the 5-limit, 1665edo is a tuning for the [[gross]] temperament. | |||
1665edo provides the optimal patent val for the [[rhodium]] temperament in the 11-limit and also in the 13-limit. | 1665edo provides the optimal patent val for the [[rhodium]] temperament in the 11-limit and also in the 13-limit. | ||
===Prime harmonics=== | |||
{{harmonics in equal|1665}} | |||
Revision as of 20:21, 28 February 2023
| ← 1664edo | 1665edo | 1666edo → |
1665edo is a very strong 5-limit (as well as 2.3.5.11 subgroup) tuning and it is consistent in the 15-odd-limit. In the 5-limit, 1665edo is a tuning for the gross temperament.
1665edo provides the optimal patent val for the rhodium temperament in the 11-limit and also in the 13-limit.
Prime harmonics
| Harmonic | 2 | 3 | 5 | 7 | 11 | 13 | 17 | 19 | 23 | 29 | 31 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | +0.000 | +0.027 | -0.007 | -0.177 | +0.033 | -0.167 | +0.270 | +0.145 | +0.194 | +0.333 | +0.190 |
| Relative (%) | +0.0 | +3.7 | -1.0 | -24.6 | +4.6 | -23.2 | +37.4 | +20.1 | +26.9 | +46.2 | +26.3 | |
| Steps (reduced) |
1665 (0) |
2639 (974) |
3866 (536) |
4674 (1344) |
5760 (765) |
6161 (1166) |
6806 (146) |
7073 (413) |
7532 (872) |
8089 (1429) |
8249 (1589) | |