44/35: Difference between revisions

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{{Infobox Interval}}
{{Infobox Interval
44/35 is an [[11-limit]] interval that is close to a [[12edo]] major third.
| Name = fwiwismic major third
}}
'''44/35''', the '''fwiwismic major third''', is an [[11-limit]] interval that is close to a [[12edo]] major third. It differs from [[81/64]], the Pythagorean major third, by [[2835/2816]], the fwiwisma. It also differs from [[5/4]] by [[176/175]], the valinorsma. It is the product of [[11/10]] and [[8/7]], intervals that are commonly used as stand-ins for the cube roots of [[4/3]] and [[3/2]] respectively, so appears as 1/3 of an octave in systems that carve both 4/3 and 3/2 in thirds, such as [[15edo]], [[72edo]], [[87edo]], and [[159edo]]. It is [[441/440]] flat of [[63/50]], a [[7-limit]] interval often representing 1/3 of an octave, in fact much more accurately than 44/35.
 
== Terminology ==
It could also be called ''valinorsmic major third'' if viewed as [[fudging]] from [[5/4]] instead.
 
== See also ==
* [[35/22]] – its [[octave complement]]
 
[[Category:Fwiwismic]]