312edo: Difference between revisions

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== ~~Theory~~ ==

This edo is the first multiple of 12 to have a [[patent val]] [[perfect fifth|fifth]] that does not correspond to the [[12edo]] fifth of 700{{c}}. It is strong in the 2.9.15.7 [[subgroup]]. Beyond that, it is harmonic quality is quite poor for its size.

=== Odd harmonics ===

~~This EDO is~~ the ~~first multiple~~ of ~~12 to be a dual-fifth system~~.

=== Subsets and supersets ===

Since 312 factors into {{factorization|312}}, 312edo has subset edos {{EDOs| 2, 3, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, and 156 }}. [[624edo]], which doubles it, provides the much needed correction to many of the lower harmonics.

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 {{Infobox ET}}
-{{EDO intro|312}}
+{{ED intro}}
-== Theory ==
+This edo is the first multiple of 12 to have a [[patent val]] [[perfect fifth|fifth]] that does not correspond to the [[12edo]] fifth of 700{{c}}. It is strong in the 2.9.15.7 [[subgroup]]. Beyond that, it is harmonic quality is quite poor for its size.
+=== Odd harmonics ===
 {{Harmonics in equal|312|columns=12}}
-This EDO is the first multiple of 12 to be a dual-fifth system.
+=== Subsets and supersets ===
+Since 312 factors into {{factorization|312}}, 312edo has subset edos {{EDOs| 2, 3, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, and 156 }}. [[624edo]], which doubles it, provides the much needed correction to many of the lower harmonics.