Octave complement: Difference between revisions

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The '''octave complement''' or '''inverse interval''' of an [[interval]] is its ~~interval distance from~~ the [[octave]]. It can be seen as a binary symmetric relation over intervals. The concept is important in musical practice and most musical theories. Its use is typically restricted to [[octave-reduced]] intervals (including the octave).

The '''octave complement''' or '''inverse interval''' of an [[interval]] is its difference with the [[octave]]. It can be seen as a binary symmetric relation over intervals. The concept is important in musical practice and most musical theories. Its use is typically restricted to [[octave-reduced]] intervals (including the octave).

The octave complement is often simply called '''complement''' in the context of octave-[[equivalent]] scales, but the broader concept of ''complement'' can also apply to other intervals, such as the [[fifth complement]], the [[fourth complement]] and the [[tritave complement]].

== Calculation ==

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== See also ==

* [[Ratio math]]

* [[~~Octave reduction]]~~

* [[Fifth complement]] -- the analogue for the [[3/2|fifth (3/2)]]

* [[Fourth complement]] -- the analogue for the [[4/3|fourth (4/3)]]

* [[Tritave complement]] -- the analogue for the [[tritave|tritave (3/1)]]

[[Category:Terms]]

~~[[Category:Theory]]~~

[[Category:Interval]]

[[Category:Octave]]

[[Category:Method]]

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+{{Wikipedia|Complement (music)}}
 {{Wikipedia|Inversion (music) #Intervals}}
-The '''octave complement''' or '''inverse interval''' of an [[interval]] is its interval distance from the [[octave]]. It can be seen as a binary symmetric relation over intervals. The concept is important in musical practice and most musical theories. Its use is typically restricted to [[octave-reduced]] intervals (including the octave).
+The '''octave complement''' or '''inverse interval''' of an [[interval]] is its difference with the [[octave]]. It can be seen as a binary symmetric relation over intervals. The concept is important in musical practice and most musical theories. Its use is typically restricted to [[octave-reduced]] intervals (including the octave).
+The octave complement is often simply called '''complement''' in the context of octave-[[equivalent]] scales, but the broader concept of ''complement'' can also apply to other intervals, such as the [[fifth complement]], the [[fourth complement]] and the [[tritave complement]].
 == Calculation ==
@@ Line 84: / Line 87: @@
 == See also ==
+* [[Ratio math]]
-* [[Octave reduction]]
-* [[Fifth complement]] -- the analogue for the [[3/2|fifth (3/2)]]
-* [[Fourth complement]]  -- the analogue for the [[4/3|fourth (4/3)]]
-* [[Tritave complement]] -- the analogue for the [[tritave|tritave (3/1)]]
 [[Category:Terms]]
-[[Category:Theory]]
 [[Category:Interval]]
 [[Category:Octave]]
 [[Category:Method]]