Hyperpent and hypopent: Difference between revisions

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 == Background ==
-"Hyperpental" is loosely associated with "[[superpyth]]," but specifically refers to equal division of the octave that result in any fifth tempered sharp, while "hypopental" is loosely associated with "[[meantone]]," but specifically refers to equal division of the octave that result in any fifth tempered flat.
+"Hyperpental" (about 702 to 723c) loosely corresponds to tunings of the [[5L 7s]] sharp chromatic scale (700 to 720 cents) while "hypopental" (about 680-702c) loosely corresponds to tunings of the [[7L 5s]] mellow chromatic scale (686 to 700 cents).
-Some edos may contain no intervals in the span of a just fifth plus or minus a [[syntonic comma]], and thus are neither hyperpent nor hypopent, and are refered to as "anpent."
+Some edos may contain no intervals in the span of a just fifth plus or minus a [[syntonic comma]], and thus are neither hyperpent nor hypopent, and are refered to as "anpent." By necessity, these edos have no diatonic fifth, and are a finite set (the largest being 23edo, which is also the largest edo to lack a diatonic scale).
 == Partial List ==