Fourth complement: Difference between revisions
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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 == | ||
Revision as of 13:16, 4 December 2021
The fourth complement of a given interval is its interval distance from the fourth (4/3). It's very similar to the fifth complement. It seems to be very useful in regards to tetrachords, and even in helping to describe certain relationships in 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
Aside from the usage of the term "fourth complement" this wiki, the term was brought up by 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 MOSes despite being separated by the same interval.
Examples
The following interval pairs are fourth complementary to each other
- 5/4 and 16/15
- 6/5 and 10/9
- 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]]