Fifth complement: Difference between revisions

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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.

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 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 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>.

== 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]]

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* [[Fourth complement]]

== ~~Footnotes~~ ==

== References ==

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-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.
+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 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 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>.
 == 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 15: / Line 15: @@
 * [[Fourth complement]]
-== Footnotes ==
+== References ==
 <references/>