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]]. | 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]] | ||
== See also == | == See also == | ||
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[[Category:Terms]] | [[Category:Terms]] | ||
[[Category:Interval]] | [[Category:Interval]] | ||
[[Category:Fourth]] | [[Category:Fourth]] | ||
[[Category:Method]] | [[Category:Method]] |