Fourth complement: Difference between revisions

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The '''fourth complement''' of a given [[interval]] is its interval distance from the [[4/3|fourth (4/3)]]. It's very similar to the [[fifth complement]] in that it can be thought of as a way of conceptualizing and constructing [[~~triads~~]], albeit such triads are naturally not of the same class as those framed by the more familiar [[perfect fifth]] for a number of reasons. Furthermore, the idea of a fourth complement seems to be very useful in regards to [[tetrachord]]s, and even in helping to describe certain relationships in [[diatonic functional harmony|functional harmony]] such as "parallels" in which notes in the same tetrachord located a third apart from each other share some aspects of their harmonic function.

The '''fourth complement''' of a given [[interval]] is its interval distance from the [[4/3|fourth (4/3)]]. It's very similar to the [[fifth complement]] in that it can be thought of as a way of conceptualizing and constructing [[triad]]s, albeit such triads are naturally not of the same class as those framed by the more familiar [[perfect fifth]] for a number of reasons. Furthermore, the idea of a fourth complement seems to be very useful in regards to [[tetrachord]]s, and even in helping to describe certain relationships in [[diatonic functional harmony|functional harmony]] such as "parallels" in which notes in the same tetrachord located a third apart from each other share some aspects of their harmonic function.

== History ==

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[[Category:Terms]]

~~[[Category:Theory]]~~

[[Category:Interval]]

[[Category:Fourth]]

[[Category:Method]]

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-The '''fourth complement''' of a given [[interval]] is its interval distance from the [[4/3|fourth (4/3)]]. It's very similar to the [[fifth complement]] in that it can be thought of as a way of conceptualizing and constructing [[triads]], albeit such triads are naturally not of the same class as those framed by the more familiar [[perfect fifth]] for a number of reasons. Furthermore, the idea of a fourth complement seems to be very useful in regards to [[tetrachord]]s, and even in helping to describe certain relationships in [[diatonic functional harmony|functional harmony]] such as "parallels" in which notes in the same tetrachord located a third apart from each other share some aspects of their harmonic function.
+The '''fourth complement''' of a given [[interval]] is its interval distance from the [[4/3|fourth (4/3)]]. It's very similar to the [[fifth complement]] in that it can be thought of as a way of conceptualizing and constructing [[triad]]s, albeit such triads are naturally not of the same class as those framed by the more familiar [[perfect fifth]] for a number of reasons. Furthermore, the idea of a fourth complement seems to be very useful in regards to [[tetrachord]]s, and even in helping to describe certain relationships in [[diatonic functional harmony|functional harmony]] such as "parallels" in which notes in the same tetrachord located a third apart from each other share some aspects of their harmonic function.
 == History ==
@@ Line 19: / Line 19: @@
 [[Category:Terms]]
-[[Category:Theory]]
 [[Category:Interval]]
 [[Category:Fourth]]
 [[Category:Method]]