1680edo: Difference between revisions
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{{Infobox ET}} | {{Infobox ET}} | ||
{{EDO intro|1680}} | {{EDO intro|1680}} | ||
1680edo is the 17th [[highly composite edo]] | 1680edo is the 17th [[highly composite edo]]. | ||
1680d val is better tuned than the patent val. It tunes the 80th-octave temperament [[mercury]] in the 19-limit and the rank-3 temperament [[thor]] in the 11-limit. | 1680edo is consistent in the 5-odd-limit. | ||
1680d val is better tuned than the patent val and other vals as high as the 23-limit, and offers a good representation of the 17-limit in this regard. It tunes the 80th-octave temperament [[mercury]] in the 19-limit and the rank-3 temperament [[thor]] in the 11-limit. | |||
=== Odd harmonics === | |||
{{harmonics in equal|1680}} | {{harmonics in equal|1680}} | ||
Revision as of 14:37, 2 July 2023
| ← 1679edo | 1680edo | 1681edo → |
Template:EDO intro 1680edo is the 17th highly composite edo.
1680edo is consistent in the 5-odd-limit.
1680d val is better tuned than the patent val and other vals as high as the 23-limit, and offers a good representation of the 17-limit in this regard. It tunes the 80th-octave temperament mercury in the 19-limit and the rank-3 temperament thor in the 11-limit.
Odd harmonics
| Harmonic | 3 | 5 | 7 | 9 | 11 | 13 | 15 | 17 | 19 | 21 | 23 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | +0.188 | +0.115 | -0.254 | -0.339 | +0.111 | +0.187 | +0.303 | +0.045 | +0.344 | -0.067 | +0.297 |
| Relative (%) | +26.3 | +16.1 | -35.6 | -47.4 | +15.5 | +26.1 | +42.4 | +6.2 | +48.2 | -9.3 | +41.6 | |
| Steps (reduced) |
2663 (983) |
3901 (541) |
4716 (1356) |
5325 (285) |
5812 (772) |
6217 (1177) |
6564 (1524) |
6867 (147) |
7137 (417) |
7379 (659) |
7600 (880) | |