Fourth complement - Revision history

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
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	[[Category:Terms]]		[[Category:Terms]]
	~~[[Category:Theory]]~~
	[[Category:Interval]]		[[Category:Interval]]
	[[Category:Fourth]]		[[Category:Fourth]]
	[[Category:Method]]		[[Category:Method]]

Aura at 01:21, 22 January 2022

2022-01-22T01:21:39Z

← Older revision		Revision as of 01:21, 22 January 2022
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	The '''fourth complement''' of a given [[interval]] is its interval distance from the [[4/3\|fourth (4/3)]]. It's very similar to the [[fifth complement]] in that it can be thought of as a way of conceptualizing and constructing [[~~triads~~]], albeit such triads are naturally not of the same class as those framed by the more familiar [[perfect fifth]] for a number of reasons. Furthermore, the idea of a fourth complement seems to be very useful in regards to [[tetrachord]]s, and even in helping to describe certain relationships in [[diatonic functional harmony\|functional harmony]] such as "parallels" in which notes in the same tetrachord located a third apart from each other share some aspects of their harmonic function.		The '''fourth complement''' of a given [[interval]] is its interval distance from the [[4/3\|fourth (4/3)]]. It's very similar to the [[fifth complement]] in that it can be thought of as a way of conceptualizing and constructing [[triad]]s, albeit such triads are naturally not of the same class as those framed by the more familiar [[perfect fifth]] for a number of reasons. Furthermore, the idea of a fourth complement seems to be very useful in regards to [[tetrachord]]s, and even in helping to describe certain relationships in [[diatonic functional harmony\|functional harmony]] such as "parallels" in which notes in the same tetrachord located a third apart from each other share some aspects of their harmonic function.

	== History ==		== History ==

Aura at 01:21, 22 January 2022

2022-01-22T01:21:28Z

← Older revision		Revision as of 01:21, 22 January 2022
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	The '''fourth complement''' of a given [[interval]] is its interval distance from the [[4/3\|fourth (4/3)]]. It's very similar to the [[fifth complement]]. It seems to be very useful in regards to [[tetrachord]]s, and even in helping to describe certain relationships in [[diatonic functional harmony\|functional harmony]] such as "parallels" in which notes in the same tetrachord located a third apart from each other share some aspects of their harmonic function.		The '''fourth complement''' of a given [[interval]] is its interval distance from the [[4/3\|fourth (4/3)]]. It's very similar to the [[fifth complement]] in that it can be thought of as a way of conceptualizing and constructing [[triads]], albeit such triads are naturally not of the same class as those framed by the more familiar [[perfect fifth]] for a number of reasons. Furthermore, the idea of a fourth complement seems to be very useful in regards to [[tetrachord]]s, and even in helping to describe certain relationships in [[diatonic functional harmony\|functional harmony]] such as "parallels" in which notes in the same tetrachord located a third apart from each other share some aspects of their harmonic function.

	== History ==		== History ==

Aura at 01:10, 22 January 2022

2022-01-22T01:10:54Z

← Older revision		Revision as of 01:10, 22 January 2022
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	== History ==		== History ==

	Aside from the usage of the term "fourth complement" this wiki, the term was brought up by [[User:Aura\|Aura]] in a discussion on Discord concerning reasons that the relationships between Perfect and Augmented Fourths is not entirely analogous to the relationship between major and minor seconds in [[MOS]]es despite being separated by the same interval.		Aside from the usage of the term "fourth complement" on this wiki, the term was brought up by [[User:Aura\|Aura]] in a discussion on Discord concerning reasons that the relationships between Perfect and Augmented Fourths is not entirely analogous to the relationship between major and minor seconds in [[MOS]]es despite being separated by the same interval.

	== Examples ==		== Examples ==

Aura: The extra examples are not needed here since it would not be prudent to list all possible examples of fourth complements

2022-01-22T01:08:39Z

The extra examples are not needed here since it would not be prudent to list all possible examples of fourth complements

← Older revision		Revision as of 01:08, 22 January 2022
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	* [[6/5]] and [[10/9]]		* [[6/5]] and [[10/9]]
	* [[8/7]] and [[7/6]]		* [[8/7]] and [[7/6]]
	* [[9/7]] and [[28/27]]
	* [[9/8]] and [[32/27]]
	* [[11/9]] and [[12/11]]
	* [[11/10]] and [[40/33]]

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

Lupus: /* Examples */

2021-12-04T13:16:49Z

Examples

← Older revision		Revision as of 13:16, 4 December 2021
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	* [[9/8]] and [[32/27]]		* [[9/8]] and [[32/27]]
	* [[11/9]] and [[12/11]]		* [[11/9]] and [[12/11]]
	* [[11/10]] and [40/33]]		* [[11/10]] and [[40/33]]

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

Lupus: /* Examples */ Added more examples

2021-12-04T13:16:39Z

Examples: Added more examples

← Older revision		Revision as of 13:16, 4 December 2021
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	* [[6/5]] and [[10/9]]		* [[6/5]] and [[10/9]]
	* [[8/7]] and [[7/6]]		* [[8/7]] and [[7/6]]
			* [[9/7]] and [[28/27]]
			* [[9/8]] and [[32/27]]
			* [[11/9]] and [[12/11]]
			* [[11/10]] and [40/33]]

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

Aura at 21:02, 16 November 2021

2021-11-16T21:02:04Z

← Older revision		Revision as of 21:02, 16 November 2021
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	The '''fourth complement''' of a given [[interval]] is its interval distance from the [[4/3\|fourth (4/3)]]. It's very similar to the [[fifth complement]]. It seems to be very useful in regards to [[tetrachord]]s, and even in ~~describing~~ certain relationships in [[diatonic functional harmony\|functional harmony]] such as "parallels" in which notes in the same tetrachord located a third apart from each other share some aspects of their harmonic function.		The '''fourth complement''' of a given [[interval]] is its interval distance from the [[4/3\|fourth (4/3)]]. It's very similar to the [[fifth complement]]. It seems to be very useful in regards to [[tetrachord]]s, and even in helping to describe certain relationships in [[diatonic functional harmony\|functional harmony]] such as "parallels" in which notes in the same tetrachord located a third apart from each other share some aspects of their harmonic function.

	== History ==		== History ==

Aura at 19:30, 23 June 2021

2021-06-23T19:30:29Z

← Older revision		Revision as of 19:30, 23 June 2021
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	The '''fourth complement''' of a given [[interval]] is its interval distance from the [[4/3\|fourth (4/3)]]. It's very similar to the [[fifth complement]]. It seems to be very useful in regards to [[tetrachord]]s, and even in describing certain relationships in ~~the~~ [[~~Diatonic~~ functional harmony\|functional harmony]] ~~of Western Classical Music~~ such as "parallels" in which notes in the same tetrachord located a third apart from each other share some aspects of their harmonic function.		The '''fourth complement''' of a given [[interval]] is its interval distance from the [[4/3\|fourth (4/3)]]. It's very similar to the [[fifth complement]]. It seems to be very useful in regards to [[tetrachord]]s, and even in describing certain relationships in [[diatonic functional harmony\|functional harmony]] such as "parallels" in which notes in the same tetrachord located a third apart from each other share some aspects of their harmonic function.

	== History ==		== History ==

Aura at 17:54, 23 June 2021

2021-06-23T17:54:04Z

← Older revision		Revision as of 17:54, 23 June 2021
Line 1:		Line 1:
	The '''fourth complement''' of a given [[interval]] is its interval distance from the [[4/3\|fourth (4/3)]]. It's very similar to the [[fifth complement]]. It seems to be very useful in regards to [[tetrachord]]s, and even in describing certain relationships in the [[functional harmony]] of Western Classical Music such as "parallels" in which notes in the same tetrachord located a third apart from each other share some aspects of their harmonic function.		The '''fourth complement''' of a given [[interval]] is its interval distance from the [[4/3\|fourth (4/3)]]. It's very similar to the [[fifth complement]]. It seems to be very useful in regards to [[tetrachord]]s, and even in describing certain relationships in the [[Diatonic functional harmony\|functional harmony]] of Western Classical Music such as "parallels" in which notes in the same tetrachord located a third apart from each other share some aspects of their harmonic function.

	== History ==		== History ==