848edo: Difference between revisions
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Created page with "{{Infobox ET}} {{EDO intro|848}} 848edo is consistent in the 15-odd-limit and contains the famous 53edo as a subset. In the 5-limit, it is a very strong system, which te..." |
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{{Infobox ET}} | {{Infobox ET}} | ||
{{EDO intro|848}} | {{EDO intro|848}} | ||
In the 5-limit, it is a very strong system, which tempers out the [[Mercator's comma]]. It also tunes [[kwazy]] and provides the [[optimal patent val]] for the [[geb]] temperament. | 848edo is consistent in the 15-odd-limit and contains the famous [[53edo]] as a subset. In the 5-limit, it is a very strong system, which tempers out the [[Mercator's comma]]. It also tunes [[kwazy]] and provides the [[optimal patent val]] for the [[geb]] temperament. | ||
In higher limits, it is a strong 2.3.5.13.23 system. | In higher limits, it is a strong 2.3.5.13.23 system. | ||
=== Prime harmonics === | === Prime harmonics === | ||
{{harmonics in equal|848}} | {{harmonics in equal|848}} | ||
Revision as of 22:41, 25 May 2023
| ← 847edo | 848edo | 849edo → |
848edo is consistent in the 15-odd-limit and contains the famous 53edo as a subset. In the 5-limit, it is a very strong system, which tempers out the Mercator's comma. It also tunes kwazy and provides the optimal patent val for the geb temperament.
In higher limits, it is a strong 2.3.5.13.23 system.
Prime harmonics
| Harmonic | 2 | 3 | 5 | 7 | 11 | 13 | 17 | 19 | 23 | 29 | 31 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | +0.000 | -0.068 | +0.007 | +0.514 | +0.569 | +0.038 | -0.238 | -0.343 | +0.028 | +0.611 | -0.224 |
| Relative (%) | +0.0 | -4.8 | +0.5 | +36.3 | +40.2 | +2.7 | -16.8 | -24.3 | +1.9 | +43.2 | -15.8 | |
| Steps (reduced) |
848 (0) |
1344 (496) |
1969 (273) |
2381 (685) |
2934 (390) |
3138 (594) |
3466 (74) |
3602 (210) |
3836 (444) |
4120 (728) |
4201 (809) | |