Fourth complement: Difference between revisions

(18 intermediate revisions by 2 users not shown)

Line 1:

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 ~~describing~~ certain relationships in [[functional harmony]] such "~~parallelism~~" 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 ==

Aside from the usage of the term "fourth complement" this wiki, the term was brought up by [[User:Aura|Aura]] in a discussion 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 ==

Line 11:

* [[5/4]] and [[16/15]]

* [[6/5]] and [[10/9]]

* [[9/8]] and [[32/27]]

* [[8/7]] and [[7/6]]

== See also ==

Line 17:

* [[Octave complement]]

* [[Fifth complement]]

[[Category:Terms]]

[[Category:Interval]]

[[Category:Fourth]]

[[Category:Method]]

@@ Line 1: / Line 1: @@
-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 describing certain relationships in [[functional harmony]] such "parallelism" 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 ==
-Aside from the usage of the term "fourth complement" this wiki, the term was brought up by [[User:Aura|Aura]] in a discussion 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 ==
@@ Line 11: / Line 11: @@
 * [[5/4]] and [[16/15]]
 * [[6/5]] and [[10/9]]
-* [[9/8]] and [[32/27]]
+* [[8/7]] and [[7/6]]
 == See also ==
@@ Line 17: / Line 17: @@
 * [[Octave complement]]
 * [[Fifth complement]]
+[[Category:Terms]]
+[[Category:Interval]]
+[[Category:Fourth]]
+[[Category:Method]]