2113edo: Difference between revisions
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{{EDO intro|2113}} | {{EDO intro|2113}} | ||
2113edo is consistent in the 21-odd-limit and also a strong 2.3.7.13.29 subgroup system. In the 11-limit and the 13-limit, it provides the [[optimal patent val]] for the [[moulin]] temperament. | 2113edo is [[consistent]] in the [[21-odd-limit]] and also a strong 2.3.7.13.29 [[subgroup]] system. In the 11-limit and the 13-limit, it provides the [[optimal patent val]] for the [[moulin]] temperament. | ||
=== | |||
{{ | === Prime harmonics === | ||
{{Harmonics in equal|2113}} | |||
=== Subsets and supersets === | |||
2113edo is the 319th [[prime edo]]. | |||
Revision as of 12:35, 15 October 2023
| ← 2112edo | 2113edo | 2114edo → |
2113edo is consistent in the 21-odd-limit and also a strong 2.3.7.13.29 subgroup system. In the 11-limit and the 13-limit, it provides the optimal patent val for the moulin temperament.
Prime harmonics
| Harmonic | 2 | 3 | 5 | 7 | 11 | 13 | 17 | 19 | 23 | 29 | 31 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | +0.000 | -0.015 | -0.133 | +0.034 | +0.126 | -0.017 | +0.108 | +0.073 | -0.163 | +0.049 | -0.123 |
| Relative (%) | +0.0 | -2.6 | -23.4 | +5.9 | +22.1 | -2.9 | +19.1 | +12.9 | -28.6 | +8.6 | -21.7 | |
| Steps (reduced) |
2113 (0) |
3349 (1236) |
4906 (680) |
5932 (1706) |
7310 (971) |
7819 (1480) |
8637 (185) |
8976 (524) |
9558 (1106) |
10265 (1813) |
10468 (2016) | |
Subsets and supersets
2113edo is the 319th prime edo.