2912edo: Difference between revisions

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2912edo is [[consistent]] to the [[7-odd-limit]], but the error on [[3/2|3]] and [[5/4|5]] is quite large, commending it to a [[dual-fifth]] interpretation. As a dual-fifth system, its sharp and flat approximations to 3/2 come from two notable ~~systems -~~ [[364edo]] and [[224edo]] (see the template to the right).

2912edo is [[consistent]] to the [[7-odd-limit]], but the error on [[3/2|3]] and [[5/4|5]] is quite large, commending it to a [[dual-fifth]] interpretation. As a dual-fifth system, its sharp and flat approximations to 3/2 come from two notable systems—[[364edo]] and [[224edo]] (see the template to the right).

Aside from the patent val, there is a number of mappings to be considered. 2912dd val provides a tuning close to [[POTE]] tuning for the [[tokko]] temperament, and 2912e val tunes [[skadi]]. 2912edo can be used with 2.7.9.11.15.19 subgroup.

=== Odd harmonics ===

=== Subsets and supersets ===

Since 2912 factors as {{factorization|2912}}, 2912edo has subset edos {{EDOs|1, 2, 4, 7, 8, 13, 14, 16, 26, 28, 32, 52, 56, 91, 104, 112, 182, 208, 224, 364, 416, 728, 1456}}.

@@ Line 1: / Line 1: @@
 {{Infobox ET}}
-{{EDO intro|2912}}
+{{ED intro}}
-edo is [[consistent]] to the [[7-odd-limit]], but the error on [[3/2|3]] and [[5/4|5]] is quite large, commending it to a [[dual-fifth]] interpretation. As a dual-fifth system, its sharp and flat approximations to 3/2 come from two notable systems - [[364edo]] and [[224edo]] (see the template to the right).
+edo is [[consistent]] to the [[7-odd-limit]], but the error on [[3/2|3]] and [[5/4|5]] is quite large, commending it to a [[dual-fifth]] interpretation. As a dual-fifth system, its sharp and flat approximations to 3/2 come from two notable systems—[[364edo]] and [[224edo]] (see the template to the right).
 Aside from the patent val, there is a number of mappings to be considered. 2912dd val provides a tuning close to [[POTE]] tuning for the [[tokko]] temperament, and 2912e val tunes [[skadi]]. 2912edo can be used with 2.7.9.11.15.19 subgroup.
 === Odd harmonics ===
 {{Harmonics in equal|2912}}
 === Subsets and supersets ===
 Since 2912 factors as {{factorization|2912}}, 2912edo has subset edos {{EDOs|1, 2, 4, 7, 8, 13, 14, 16, 26, 28, 32, 52, 56, 91, 104, 112, 182, 208, 224, 364, 416, 728, 1456}}.