Fifth complement - Revision history

FloraC: Cleanup & clarify

2026-04-11T08:12:48Z

Cleanup & clarify

← Older revision		Revision as of 08:12, 11 April 2026
Line 1:		Line 1:
	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 ==		== 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 ==		== 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]]		* [[5/4]] and [[6/5]]
	* [[19/16]] and [[24/19]]		* [[19/16]] and [[24/19]]
Line 15:		Line 15:
	* [[Fourth complement]]		* [[Fourth complement]]

	== ~~Footnotes~~ ==		== References ==
	<references/>		<references/>

FloraC: Clarify a bit

2025-08-17T10:18:41Z

Clarify a bit

← Older revision		Revision as of 10:18, 17 August 2025
Line 2:		Line 2:

	== 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. 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 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>.

	== Examples ==		== 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]]		* [[5/4]] and [[6/5]]
	* [[19/16]] and [[24/19]]		* [[19/16]] and [[24/19]]

FloraC: Undo revision 190130 by VectorGraphics (talk). I actually did a Google search just to verify this and in fact, perhaps surprisingly, I found no earlier sources.

2025-08-17T10:08:48Z

Undo revision 190130 by VectorGraphics (talk). I actually did a Google search just to verify this and in fact, perhaps surprisingly, I found no earlier sources.

← Older revision		Revision as of 10:08, 17 August 2025
Line 2:		Line 2:

	== 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. The term was ~~first used on the wiki~~ 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. 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 ==

VectorGraphics at 21:16, 7 April 2025

2025-04-07T21:16:51Z

← Older revision		Revision as of 21:16, 7 April 2025
Line 2:		Line 2:

	== 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. The term was first used on the wiki 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 ==

FloraC: Fifth reduction could be a thing

2023-05-12T13:45:48Z

Fifth reduction could be a thing

← Older revision		Revision as of 13:45, 12 May 2023
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 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

Line 14:		Line 12:

	== See also ==		== See also ==

	* [[Octave complement]]		* [[Octave complement]]
			* [[Twelfth complement]]
	* [[Fourth complement]]		* [[Fourth complement]]

	== Footnotes ==		== Footnotes ==

	<references/>		<references/>

Fredg999 category edits: Removing from Category:Theory using Cat-a-lot

2023-03-02T03:40:26Z

Removing from Category:Theory using Cat-a-lot

← Older revision		Revision as of 03:40, 2 March 2023
Line 23:		Line 23:

	[[Category:Terms]]		[[Category:Terms]]
	~~[[Category:Theory]]~~
	[[Category:Interval]]		[[Category:Interval]]
	[[Category:Fifth]]		[[Category:Fifth]]

Aura at 01:20, 22 January 2022

2022-01-22T01:20:45Z

← Older revision		Revision as of 01:20, 22 January 2022
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 ~~triads~~, and even as a way of describing the relationships between different [[:Category:third\|third]]s.		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.

	== History ==		== History ==

Aura at 01:20, 22 January 2022

2022-01-22T01:20:31Z

← Older revision		Revision as of 01:20, 22 January 2022
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 ~~makes not~~ much sense for intervals less than a fifth (since there is no "fifth reduction"). It seems to be very useful ~~to describe~~ the ~~relation of~~ [[:Category:third\|third]]s.		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 triads, and even as a way of describing the relationships between different [[:Category:third\|third]]s.

	== History ==		== History ==

Aura at 17:48, 23 June 2021

2021-06-23T17:48:20Z

← Older revision		Revision as of 17:48, 23 June 2021
Line 16:		Line 16:

	* [[Octave complement]]		* [[Octave complement]]
			* [[Fourth complement]]

	== Footnotes ==		== Footnotes ==

Keenan Pepper category edits: Moving from Category:Term to Category:Terms using Cat-a-lot

2020-12-04T22:44:57Z

Moving from Category:Term to Category:Terms using Cat-a-lot

← Older revision		Revision as of 22:44, 4 December 2020
Line 21:		Line 21:
	<references/>		<references/>

	[[Category:~~Term~~]]		[[Category:Terms]]
	[[Category:Theory]]		[[Category:Theory]]
	[[Category:Interval]]		[[Category:Interval]]