1749edo: Difference between revisions
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== Theory == | == Theory == | ||
1749edo is [[consistent]] in the [[9-odd-limit]] with strong approximations; however the approximation to the [[11/1|11th harmonic]] is poor. The most straightforward extension is the 2.3.5.7.13.17.31 subgroup. | |||
It is part of the [[optimal ET sequence]] for the [[aemilic]] temperament in the [[7-limit]], as a multiple of [[159edo]]. | |||
1749e val is the most straightforward extension into the 11-limit, as it is better tuned than the patent val and strongly supports 11-limit [[aemilic]] extension. | |||
=== Prime harmonics === | |||
{{Harmonics in equal|1749}} | {{Harmonics in equal|1749}} | ||
[[ | === Subsets and supersets === | ||
Since 1749 factors as {{Factorization|1749}}, 1749edo has subset edos {{EDOs|1, 3, 11, 33, 53, 159, 583}}. | |||
[[3498edo]], which divides the step in two, improves on the harmonic 11 and is consistent in the [[25-odd-limit]]. | |||