525/512: Difference between revisions

@@ Line 1: / Line 1: @@
-/512, known as Avicenna's enharmonic diesis or the Avicenna, is the interval between [[64/63|64/63]] and [[25/24|25/24]]. Tempering it out equates the two and leads to [[Avicennmic_temperaments|avicennmic temperaments]].
+{{Infobox Interval
+| Name = avicennma, Avicenna's enharmonic diesis
+| Color name = Lzyy1, lazoyoyo unison
+| Comma = yes
+}}
+'''525/512''', the '''avicennma''', also known as ''Avicenna's enharmonic diesis'', is a [[medium comma|medium]] [[7-limit]] [[comma]] measuring about 43.4 [[cent]]s. It is the difference between [[64/63]] and [[25/24]], or between [[32/25]] and [[21/16]].
+In the 11-limit, it factors into ([[45/44]])⋅([[385/384]]), and in the [[2.3.5.7.13 subgroup]], ([[65/64]])⋅([[105/104]]).
+== Temperaments ==
+[[Tempering out]] this comma equates 64/63 with 25/24 and leads to the [[avicennmic]] temperament. Because it flattens [[3/2]] and [[5/4]], it is a natural choice to further temper out [[81/80]], resulting in [[flattone]] temperament.
+See [[Avicennmic temperaments]] for a collection of rank-2 temperaments where it is tempered out.
+[[Category:Avicennmic]]
+[[Category:Commas named after polymaths]]