Fourth complement: Difference between revisions

From Xenharmonic Wiki
Jump to navigation Jump to search
Aura (talk | contribs)
The extra examples are not needed here since it would not be prudent to list all possible examples of fourth complements
Aura (talk | contribs)
No edit summary
Line 3: Line 3:
== 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 ==

Revision as of 01:10, 22 January 2022

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" on 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

See also