380edo: Difference between revisions
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Adopt template: EDO intro; +prime error table; +subsets and supersets; -redundant categories |
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{{Infobox ET}} | {{Infobox ET}} | ||
{{EDO intro|380}} | |||
== Theory == | == Theory == | ||
380edo notably provides the [[optimal patent val]] for the 2.3.11 [[neutral]] temperament. It has particularly accurate approximations of primes 23 and 29. Approximations of 7, 13, 17, and 19 are also very good. | 380edo notably provides the [[optimal patent val]] for the 2.3.11 [[subgroup]] [[neutral]] temperament. It has particularly accurate approximations of primes 23 and 29. Approximations of 7, 13, 17, and 19 are also very good. | ||
[[File:neutral_380edo.png|thumb|alt=neutral_380edo.png|Neutral in 380edo]] | [[File:neutral_380edo.png|thumb|alt=neutral_380edo.png|Neutral in 380edo]] | ||
=== Odd harmonics === | |||
{{Harmonics in equal|380}} | |||
=== Subsets and supersets === | |||
Since 380 factors into {{factorization|380}}, 380edo has subset edos {{EDOs| 2, 4, 5, 10, 19, 20, 38, 76, 95, and 190 }}. | |||
== Scales == | == Scales == | ||
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* [[Omahat]] | * [[Omahat]] | ||
[[Category:Neutral]] | [[Category:Neutral]] | ||
Revision as of 14:14, 9 November 2023
| ← 379edo | 380edo | 381edo → |
Theory
380edo notably provides the optimal patent val for the 2.3.11 subgroup neutral temperament. It has particularly accurate approximations of primes 23 and 29. Approximations of 7, 13, 17, and 19 are also very good.
Odd harmonics
| Harmonic | 3 | 5 | 7 | 9 | 11 | 13 | 15 | 17 | 19 | 21 | 23 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | -0.90 | -1.05 | +0.65 | +1.35 | +1.31 | -0.53 | +1.20 | -0.74 | -0.67 | -0.25 | +0.15 |
| Relative (%) | -28.6 | -33.3 | +20.5 | +42.8 | +41.6 | -16.7 | +38.2 | -23.6 | -21.2 | -8.1 | +4.6 | |
| Steps (reduced) |
602 (222) |
882 (122) |
1067 (307) |
1205 (65) |
1315 (175) |
1406 (266) |
1485 (345) |
1553 (33) |
1614 (94) |
1669 (149) |
1719 (199) | |
Subsets and supersets
Since 380 factors into 22 × 5 × 19, 380edo has subset edos 2, 4, 5, 10, 19, 20, 38, 76, 95, and 190.