44/35: Difference between revisions

(One intermediate revision by the same user not shown)

Line 1:

{{Infobox Interval

44/35, the '''~~valinorsmic~~ major third''', is an [[11-limit]] interval that is close to a [[12edo]] major third, ~~and which~~ 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.

| 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]]

@@ Line 1: / Line 1: @@
-{{Infobox Interval| Name = valinorsmic major third}}
+{{Infobox Interval
-/35, the '''valinorsmic major third''', is an [[11-limit]] interval that is close to a [[12edo]] major third, and which 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.
+| 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]]