525/512: Difference between revisions

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{{Infobox Interval
{{Infobox Interval
| JI glyph =
| Name = avicennma, Avicenna's enharmonic diesis
| Ratio = 525/512
| Color name = Lzyy1, lazoyoyo unison
| Monzo = -9 1 2 1
| Comma = yes
| Cents = 43.40834
| Name = Avicenna's enharmonic diesis, <br>avicennma
| Color name =  
| FJS name =
| Sound =  
}}
}}
'''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]].


'''525/512''', known as '''Avicenna's enharmonic diesis''' or '''avicennma''', is the interval between [[64/63]] and [[25/24]]. Tempering it out equates the two and leads to [[Avicennmic_temperaments|avicennmic temperaments]].
In the 11-limit, it factors into ([[45/44]])⋅([[385/384]]), and in the [[2.3.5.7.13 subgroup]], ([[65/64]])⋅([[105/104]]).  


[[Category:Comma]]
== Temperaments ==
[[Category:Interval]]
[[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]]