Fifth complement: Difference between revisions

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~~The~~ '''fifth complement''' of a given [[interval]] is its interval distance from the [[3/2|fifth (3/2)]]~~. It's very similar to the [[octave complement]], but doesn't make much sense for intervals less than a fifth (since there is no "fifth reduction")~~. It seems to be very useful as a way of conceptualizing and constructing more traditional-sounding [[triad]]s, and even as a way of describing the relationships between different [[:Category:third|third]]s.

Analogous to the [[octave complement]], the '''fifth complement''' of a given fifth-reduced [[interval]] is its interval distance from the [[3/2|perfect fifth (3/2)]]. It seems to be very useful as a way of conceptualizing and constructing more traditional-sounding [[triad]]s, and even as a way of describing the relationships between different [[:Category:third|third]]s.

== History ==

The thought that the major third and the minor third complement or contrast each other may date well back to classical era, when triads in the form of root-3rd-P5 dominated the construction of chords, yet the term was seemingly coined by [[User:FloraC|Flora Canou]] in September 2020. <ref>[https://en.xen.wiki/index.php?title=25/21&diff=next&oldid=515 first occurrence in this wiki]</ref>

== Examples ==

The following interval pairs are ''fifth complementary'' to each other

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== See also ==

* [[Octave complement]]

* [[Twelfth complement]]

* [[Fourth complement]]

== Footnotes ==

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-The '''fifth complement''' of a given [[interval]] is its interval distance from the [[3/2|fifth (3/2)]]. It's very similar to the [[octave complement]], but doesn't make much sense for intervals less than a fifth (since there is no "fifth reduction"). It seems to be very useful as a way of conceptualizing and constructing more traditional-sounding [[triad]]s, and even as a way of describing the relationships between different [[:Category:third|third]]s.
+Analogous to the [[octave complement]], the '''fifth complement''' of a given fifth-reduced [[interval]] is its interval distance from the [[3/2|perfect fifth (3/2)]]. It seems to be very useful as a way of conceptualizing and constructing more traditional-sounding [[triad]]s, and even as a way of describing the relationships between different [[:Category:third|third]]s.
 == History ==
 The thought that the major third and the minor third complement or contrast each other may date well back to classical era, when triads in the form of root-3rd-P5 dominated the construction of chords, yet the term was seemingly coined by [[User:FloraC|Flora Canou]] in September 2020. <ref>[https://en.xen.wiki/index.php?title=25/21&diff=next&oldid=515 first occurrence in this wiki]</ref>
 == Examples ==
 The following interval pairs are ''fifth complementary'' to each other
@@ Line 14: / Line 12: @@
 == See also ==
 * [[Octave complement]]
+* [[Twelfth complement]]
 * [[Fourth complement]]
 == Footnotes ==
 <references/>