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]]. It 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 ==
== History ==


Aside from the usage of the term "fourth complement" this wiki, the term was brought up by [[User:Aura|Aura]] in a discussion on Discord concerning reasons that the relationships between Perfect and Augmented Fourths is not entirely analogous to the relationship between major and minor seconds in [[MOS]]es despite being separated by the same interval.
Aside from the usage of the term "fourth complement" on this wiki, the term was brought up by [[User:Aura|Aura]] in a discussion on Discord concerning reasons that the relationships between Perfect and Augmented Fourths is not entirely analogous to the relationship between major and minor seconds in [[MOS]]es despite being separated by the same interval.


== Examples ==
== Examples ==
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* [[6/5]] and [[10/9]]
* [[6/5]] and [[10/9]]
* [[8/7]] and [[7/6]]
* [[8/7]] and [[7/6]]
* [[9/7]] and [[28/27]]
* [[9/8]] and [[32/27]]
* [[11/9]] and [[12/11]]
* [[11/10]] and [40/33]]


== See also ==
== See also ==
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[[Category:Terms]]
[[Category:Terms]]
[[Category:Theory]]
[[Category:Interval]]
[[Category:Interval]]
[[Category:Fourth]]
[[Category:Fourth]]
[[Category:Method]]
[[Category:Method]]