Fifth complement: Difference between revisions

(4 intermediate revisions by 2 users not shown)

Line 1:

~~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 traditional-sounding {{w|tertian harmony|tertian}} [[triad]]s, and even as a way of describing the relationships between different [[:Category:third|third]]s.

== History ==

The idea that the major third and the minor third complement or contrast each other may date well back to the {{w|Classical period (music)|Classical period}}, when tertian triads, in the form of root–third–fifth, dominated the construction of chords. The term was seemingly coined by [[Flora Canou]] in September 2020<ref>[https://en.xen.wiki/index.php?title=25/21&diff=next&oldid=515 Xenharmonic Wiki | 25/21 (Revision as of 04:50, 1 September 2020 by FloraC)] – the earliest verified occurrence of the term.</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 ==

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

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

* [[5/4]] and [[6/5]]

* [[19/16]] and [[24/19]]

Line 14:

Line 11:

== See also ==

* [[Octave complement]]

* [[Twelfth complement]]

* [[Fourth complement]]

== ~~Footnotes~~ ==

== References ==

@@ Line 1: / Line 1: @@
-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 traditional-sounding {{w|tertian harmony|tertian}} [[triad]]s, and even as a way of describing the relationships between different [[:Category:third|third]]s.
 == History ==
+The idea that the major third and the minor third complement or contrast each other may date well back to the {{w|Classical period (music)|Classical period}}, when tertian triads, in the form of root–third–fifth, dominated the construction of chords. The term was seemingly coined by [[Flora Canou]] in September 2020<ref>[https://en.xen.wiki/index.php?title=25/21&diff=next&oldid=515 Xenharmonic Wiki | 25/21 (Revision as of 04:50, 1 September 2020 by FloraC)] – the earliest verified occurrence of the term.</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 ==
+The following interval pairs are ''fifth complementary'' to each other:
-The following interval pairs are ''fifth complementary'' to each other
 * [[5/4]] and [[6/5]]
 * [[19/16]] and [[24/19]]
@@ Line 14: / Line 11: @@
 == See also ==
 * [[Octave complement]]
+* [[Twelfth complement]]
 * [[Fourth complement]]
-== Footnotes ==
+== References ==
 <references/>