1778edo: Difference between revisions
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Revision as of 04:53, 9 July 2023
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This page presents a novelty topic.
It may contain ideas which are less likely to find practical applications in music, or numbers or structures that are arbitrary or exceedingly small, large, or complex. Novelty topics are often developed by a single person or a small group. As such, this page may also contain idiosyncratic terms, notation, or conceptual frameworks. |
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This page is a stub. You can help the Xenharmonic Wiki by expanding it. |
| ← 1777edo | 1778edo | 1779edo → |
Theory
| Harmonic | 3 | 5 | 7 | 9 | 11 | 13 | 15 | 17 | 19 | 21 | 23 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | -0.043 | -0.262 | -0.322 | -0.085 | +0.088 | -0.258 | -0.305 | +0.331 | +0.125 | +0.310 | +0.072 |
| Relative (%) | -6.3 | -38.8 | -47.7 | -12.7 | +13.1 | -38.2 | -45.1 | +49.1 | +18.5 | +46.0 | +10.7 | |
| Steps (reduced) |
2818 (1040) |
4128 (572) |
4991 (1435) |
5636 (302) |
6151 (817) |
6579 (1245) |
6946 (1612) |
7268 (156) |
7553 (441) |
7810 (698) |
8043 (931) | |
Prime harmonics with less than 1 standard deviation in 1778edo are: 2, 3, 11, 23, 43, 47, 61. As such, it is best for use with the 2.3.11.23.43.47.61 subgroup.
In the 7-limit, in which it is consistent, it provides the optimal patent val for the neptune temperament.