276edo: Difference between revisions
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== Theory == | == Theory == | ||
276edo's fifth is quite bad, but it corresponds to [[12edo]]'s fifth, which means | 276edo's fifth is quite bad, but it corresponds to [[12edo]]'s fifth, which means the [[patent val]] [[tempering out|tempers out]] the [[Pythagorean comma]]. It thus [[support]]s [[compton]], owing to the fact that it is a 12edo fifth. In the 7-limit, it supports [[grendel]]. | ||
276b val in the 5-limit supports [[hanson]]. In the 7-limit, it supports [[quadritikleismic]]. | Its sharp fifth comes from [[46edo]], and the 276b val in the 5-limit supports [[hanson]]. In the 7-limit, it supports [[quadritikleismic]]. | ||
=== Odd harmonics === | === Odd harmonics === | ||
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=== Subsets and supersets === | === Subsets and supersets === | ||
276edo has subset edos {{EDOs| | 276edo has subset edos {{EDOs| 2, 3, 4, 6, 12, 23, 46, 69, 92, 138 }}. | ||
== Intervals == | == Intervals == | ||
See [[Table of 276edo intervals]]. | |||
== Music == | == Music == | ||
* [https://www.youtube.com/watch?v=Be6JAoqVCBY | ; [[Eliora]], [[Sevish]], and {{w|Evanescence}} | ||
* [https://www.youtube.com/watch?v=Be6JAoqVCBY ''What The Zoon (Mashup)''] (2021) – 12edo and 23edo [[polysystemic]] | |||
Revision as of 06:38, 8 March 2024
| ← 275edo | 276edo | 277edo → |
Theory
276edo's fifth is quite bad, but it corresponds to 12edo's fifth, which means the patent val tempers out the Pythagorean comma. It thus supports compton, owing to the fact that it is a 12edo fifth. In the 7-limit, it supports grendel.
Its sharp fifth comes from 46edo, and the 276b val in the 5-limit supports hanson. In the 7-limit, it supports quadritikleismic.
Odd harmonics
| Harmonic | 3 | 5 | 7 | 9 | 11 | 13 | 15 | 17 | 19 | 21 | 23 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | -1.96 | +0.64 | +0.74 | +0.44 | +0.86 | -1.40 | -1.31 | -0.61 | -1.86 | -1.22 | +2.16 |
| Relative (%) | -45.0 | +14.8 | +17.0 | +10.1 | +19.7 | -32.1 | -30.2 | -14.0 | -42.8 | -28.0 | +49.7 | |
| Steps (reduced) |
437 (161) |
641 (89) |
775 (223) |
875 (47) |
955 (127) |
1021 (193) |
1078 (250) |
1128 (24) |
1172 (68) |
1212 (108) |
1249 (145) | |
Subsets and supersets
276edo has subset edos 2, 3, 4, 6, 12, 23, 46, 69, 92, 138.
Intervals
See Table of 276edo intervals.
Music
- Eliora, Sevish, and Evanescence
- What The Zoon (Mashup) (2021) – 12edo and 23edo polysystemic