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 ==
== 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>
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 ==
== Examples ==
The following interval pairs are ''fifth complementary'' to each other
The following interval pairs are ''fifth complementary'' to each other


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== See also ==
== See also ==
* [[Octave complement]]
* [[Octave complement]]
* [[Twelfth complement]]
* [[Fourth complement]]
* [[Fourth complement]]


== Footnotes ==
== Footnotes ==
<references/>
<references/>



Revision as of 13:45, 12 May 2023

Analogous to the octave complement, the fifth complement of a given fifth-reduced interval is its interval distance from the perfect fifth (3/2). It seems to be very useful as a way of conceptualizing and constructing more traditional-sounding triads, and even as a way of describing the relationships between different thirds.

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 Flora Canou in September 2020. [1]

Examples

The following interval pairs are fifth complementary to each other

See also

Footnotes