Temperament - Revision history

FloraC: definition of tempering

2025-09-30T09:23:18Z

***definition of tempering***

← Older revision		Revision as of 09:23, 30 September 2025
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	The term '''temperament''' is used in a number of distinct but related senses, depending on context.		The term '''temperament''' is used in a number of distinct but related senses, depending on context.

	During the {{w\|common practice period}}, the term ''temperament'' was used to describe a [[tuning system]] that slightly ~~compromised~~ the pure [[interval]]s of [[low-complexity just intonation]] to meet other requirements. Nowadays, a temperament in this sense can also be called a '''tempered tuning system''' (often shortened to '''tempered tuning''') to avoid any ambiguity, and it can be designed to approximate any set of pitches.		During the {{w\|common practice period}}, the term ''temperament'' was used to describe a [[tuning system]] that adopted the technique of '''tempering''', i.e., slightly compromising the pure [[interval]]s of [[low-complexity just intonation]] to meet other requirements. Nowadays, a temperament in this sense can also be called a '''tempered tuning system''' (often shortened to '''tempered tuning''') to avoid any ambiguity, and it can be designed to approximate any set of pitches.

	In regular temperament theory, the term ''temperament'' usually refers to a [[regular temperament]], an abstract mathematical structure from which tempered tuning systems can be derived.		In regular temperament theory, the term ''temperament'' usually refers to a [[regular temperament]], an abstract mathematical structure from which tempered tuning systems can be derived.

FloraC: Wording in intro; misc. cleanup

2024-11-01T09:57:16Z

Wording in intro; misc. cleanup

← Older revision		Revision as of 09:57, 1 November 2024
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	{{Wikipedia\|Musical temperament}}		{{Wikipedia\|Musical temperament}}
	The term '''temperament''' is used in a number of distinct senses, depending on context.		The term '''temperament''' is used in a number of distinct but related senses, depending on context.

	During the ~~[[Wikipedia:Common practice period~~\|common practice period]], the term ''temperament'' was used to describe a [[tuning system]] that slightly compromised the pure [[interval]]s of [[low-complexity just intonation]] to meet other requirements. Nowadays, a temperament in this sense can also be called a '''tempered tuning system''' (often shortened to '''tempered tuning''') to avoid any ambiguity, and it can be designed to approximate any set of pitches.		During the {{w\|common practice period}}, the term ''temperament'' was used to describe a [[tuning system]] that slightly compromised the pure [[interval]]s of [[low-complexity just intonation]] to meet other requirements. Nowadays, a temperament in this sense can also be called a '''tempered tuning system''' (often shortened to '''tempered tuning''') to avoid any ambiguity, and it can be designed to approximate any set of pitches.

	In regular temperament theory, the term ''temperament'' usually refers to a [[regular temperament]], an abstract mathematical structure from which tempered tuning systems can be derived.		In regular temperament theory, the term ''temperament'' usually refers to a [[regular temperament]], an abstract mathematical structure from which tempered tuning systems can be derived.

Fredg999 category edits: Moving from Category:Theory to Category:Tuning using Cat-a-lot

2023-03-05T05:38:34Z

Moving from Category:Theory to Category:Tuning using Cat-a-lot

← Older revision		Revision as of 05:38, 5 March 2023
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	* [[Historical temperaments]]		* [[Historical temperaments]]

	[[Category:~~Theory~~]]		[[Category:Tuning]]

Fredg999: Added EDO acronym

2022-08-03T00:09:41Z

Added EDO acronym

← Older revision		Revision as of 00:09, 3 August 2022
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	In Western music history, the first temperament to be described by theorists was the [[meantone]] temperament, in the beginning of the 16th century. It was developed in an attempt to solve some of the issues of the [[Pythagorean tuning]], the most commonly used tuning system until then. In particular, the pure fifths ([[3/2]]) are slightly compromised in order to obtain either pure major thirds ([[5/4]]), in [[quarter-comma meantone]], or slightly compromised major thirds in other meantone tunings. The linear structure of meantone has laid the foundations for the development of [[regular temperament theory]].		In Western music history, the first temperament to be described by theorists was the [[meantone]] temperament, in the beginning of the 16th century. It was developed in an attempt to solve some of the issues of the [[Pythagorean tuning]], the most commonly used tuning system until then. In particular, the pure fifths ([[3/2]]) are slightly compromised in order to obtain either pure major thirds ([[5/4]]), in [[quarter-comma meantone]], or slightly compromised major thirds in other meantone tunings. The linear structure of meantone has laid the foundations for the development of [[regular temperament theory]].

	Later in the 16th century, other theorists proposed several [[equal temperament]]s, including [[12edo\|12-tone equal temperament]] (12-TET), [[19edo\|19-tone equal temperament]] (19-TET) and [[31edo\|31-tone equal temperament]] (31-TET). Equal temperaments are now often called [[equal divisions of the octave]] in order to distinguish them from other [[equal tuning]]s with the same number of notes spanning an interval other than the [[octave]] ([[nonoctave]] tunings).		Later in the 16th century, other theorists proposed several [[equal temperament]]s, including [[12edo\|12-tone equal temperament]] (12-TET), [[19edo\|19-tone equal temperament]] (19-TET) and [[31edo\|31-tone equal temperament]] (31-TET). Equal temperaments are now often called [[equal divisions of the octave]] (EDO or edo) in order to distinguish them from other [[equal tuning]]s with the same number of notes spanning an interval other than the [[octave]] ([[nonoctave]] tunings).

	Because the previous systems have their own issues, a new kind of temperaments appeared in the 17th century: well temperaments. Their irregular structure allow for more flexibility in the way each note is tuned, and thus how each interval is compromised. As a result, most scales sound different when they are transposed to a different key.		Because the previous systems have their own issues, a new kind of temperaments appeared in the 17th century: well temperaments. Their irregular structure allow for more flexibility in the way each note is tuned, and thus how each interval is compromised. As a result, most scales sound different when they are transposed to a different key.

Fredg999: Reworked lead section (clearer distinction between the definitions), added brief history of ET

2022-08-02T05:11:28Z

Reworked lead section (clearer distinction between the definitions), added brief history of ET

← Older revision		Revision as of 05:11, 2 August 2022
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	{{Wikipedia\|Musical temperament}}		{{Wikipedia\|Musical temperament}}
	A '''temperament''' is a ~~[[tuning system]] that slightly compromises the pure [[interval]]s~~ of ~~[[just intonation]] (or more generally~~, ~~of any tuning) to meet other requirements~~.		The term '''temperament''' is used in a number of distinct senses, depending on context.

	In regular temperament theory, the term ''temperament'' usually refers to a [[regular temperament]]. ~~Besides that~~, ~~there are irregular~~ [[well temperament]]s, ~~though analysis of well temperaments~~ as specific tunings of regular temperaments ~~is possible~~.		During the [[Wikipedia:Common practice period\|common practice period]], the term ''temperament'' was used to describe a [[tuning system]] that slightly compromised the pure [[interval]]s of [[low-complexity just intonation]] to meet other requirements. Nowadays, a temperament in this sense can also be called a '''tempered tuning system''' (often shortened to '''tempered tuning''') to avoid any ambiguity, and it can be designed to approximate any set of pitches.

			In regular temperament theory, the term ''temperament'' usually refers to a [[regular temperament]], an abstract mathematical structure from which tempered tuning systems can be derived.

			Specific kinds of temperaments, such as [[equal temperament]]s and [[well temperament]]s, can alternatively be viewed as standalone tuning systems or analyzed as specific tunings of regular temperaments.

	== History ==		== History ==
	In Western music history, the first temperament to be described by theorists was the [[meantone]] temperament, in the beginning of the 16th century. It was developed in an attempt to solve some of the issues of the [[Pythagorean tuning]], the most commonly used tuning system until then. In particular, the pure fifths ([[3/2]]) are slightly compromised in order to obtain either pure major thirds ([[5/4]]), in [[quarter-comma meantone]], or slightly compromised major thirds in other meantone tunings. The linear structure of meantone has laid the foundations for the development of [[regular temperament theory]].		In Western music history, the first temperament to be described by theorists was the [[meantone]] temperament, in the beginning of the 16th century. It was developed in an attempt to solve some of the issues of the [[Pythagorean tuning]], the most commonly used tuning system until then. In particular, the pure fifths ([[3/2]]) are slightly compromised in order to obtain either pure major thirds ([[5/4]]), in [[quarter-comma meantone]], or slightly compromised major thirds in other meantone tunings. The linear structure of meantone has laid the foundations for the development of [[regular temperament theory]].

	~~Because~~ 12-tone ~~meantone~~ (~~meantone~~[12]) ~~has its~~ own issues, a new kind of temperaments appeared in the 17th century: well temperaments. ~~These have an~~ irregular structure ~~that~~ allow for more flexibility in the way each note is tuned, and thus how each interval is compromised. As a result, most scales sound different when they are transposed to a different key.		Later in the 16th century, other theorists proposed several [[equal temperament]]s, including [[12edo\|12-tone equal temperament]] (12-TET), [[19edo\|19-tone equal temperament]] (19-TET) and [[31edo\|31-tone equal temperament]] (31-TET). Equal temperaments are now often called [[equal divisions of the octave]] in order to distinguish them from other [[equal tuning]]s with the same number of notes spanning an interval other than the [[octave]] ([[nonoctave]] tunings).

			Because the previous systems have their own issues, a new kind of temperaments appeared in the 17th century: well temperaments. Their irregular structure allow for more flexibility in the way each note is tuned, and thus how each interval is compromised. As a result, most scales sound different when they are transposed to a different key.

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

FloraC: Note that WT can be viewed as tunings of RT. Adopt contemporary terminology and clarify

2022-08-01T12:15:32Z

Note that WT can be viewed as tunings of RT. Adopt contemporary terminology and clarify

← Older revision		Revision as of 12:15, 1 August 2022
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	{{Wikipedia\|Musical temperament}}		{{Wikipedia\|Musical temperament}}
	A '''temperament''' is a [[tuning system]] that slightly compromises the pure [[interval]]s of [[just intonation]] (or, more generally, of any ~~[[target~~ tuning]]) to meet other requirements.		A '''temperament''' is a [[tuning system]] that slightly compromises the pure [[interval]]s of [[just intonation]] (or more generally, of any tuning) to meet other requirements.

	In regular temperament theory, the term ''temperament'' usually refers to a [[regular temperament]].		In regular temperament theory, the term ''temperament'' usually refers to a [[regular temperament]]. Besides that, there are irregular [[well temperament]]s, though analysis of well temperaments as specific tunings of regular temperaments is possible.

	== History ==		== History ==
	In Western music history, the first ~~temperaments~~ to be described by theorists ~~were~~ [[meantone]] ~~temperaments~~, in the beginning of the 16th century. ~~These were~~ developed in an attempt to solve some of the issues of the [[Pythagorean tuning]], the most commonly used tuning system until then. In particular, the pure fifths ([[3/2]]) are slightly compromised in order to obtain either pure major thirds ([[5/4]]), in [[quarter-comma meantone]], or slightly compromised major thirds in other meantone ~~temperaments~~. The linear structure of meantone ~~temperaments~~ has laid the foundations for the development of [[regular temperament theory]].		In Western music history, the first temperament to be described by theorists was the [[meantone]] temperament, in the beginning of the 16th century. It was developed in an attempt to solve some of the issues of the [[Pythagorean tuning]], the most commonly used tuning system until then. In particular, the pure fifths ([[3/2]]) are slightly compromised in order to obtain either pure major thirds ([[5/4]]), in [[quarter-comma meantone]], or slightly compromised major thirds in other meantone tunings. The linear structure of meantone has laid the foundations for the development of [[regular temperament theory]].

	Because meantone ~~temperaments have their~~ own issues, a new kind of temperaments appeared in the 17th century: [[well ~~temperament]]s~~. These have an irregular structure that allow for more flexibility in the way each note is tuned, and thus how each interval is compromised. As a result, most scales sound different when they are transposed to a different key.		Because 12-tone meantone (meantone[12]) has its own issues, a new kind of temperaments appeared in the 17th century: well temperaments. These have an irregular structure that allow for more flexibility in the way each note is tuned, and thus how each interval is compromised. As a result, most scales sound different when they are transposed to a different key.

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

Fredg999: Expanded into a full page

2022-08-01T05:16:17Z

Expanded into a full page

← Older revision		Revision as of 05:16, 1 August 2022
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	~~The term~~ '''temperament''' ~~most commonly refers to~~ a [[~~regular temperament~~]].		{{Wikipedia\|Musical temperament}}
			A '''temperament''' is a [[tuning system]] that slightly compromises the pure [[interval]]s of [[just intonation]] (or, more generally, of any [[target tuning]]) to meet other requirements.

	~~For tuning systems in general~~, ~~see~~ [[~~tuning system~~]].		In regular temperament theory, the term ''temperament'' usually refers to a [[regular temperament]].

	~~See also~~ [[~~well~~ temperament]].		== History ==
			In Western music history, the first temperaments to be described by theorists were [[meantone]] temperaments, in the beginning of the 16th century. These were developed in an attempt to solve some of the issues of the [[Pythagorean tuning]], the most commonly used tuning system until then. In particular, the pure fifths ([[3/2]]) are slightly compromised in order to obtain either pure major thirds ([[5/4]]), in [[quarter-comma meantone]], or slightly compromised major thirds in other meantone temperaments. The linear structure of meantone temperaments has laid the foundations for the development of [[regular temperament theory]].

	[[Category:~~Disambiguation pages~~]]		Because meantone temperaments have their own issues, a new kind of temperaments appeared in the 17th century: [[well temperament]]s. These have an irregular structure that allow for more flexibility in the way each note is tuned, and thus how each interval is compromised. As a result, most scales sound different when they are transposed to a different key.

			== See also ==
			* [[Historical temperaments]]

			[[Category:Theory]]

Inthar at 14:29, 2 October 2021

2021-10-02T14:29:11Z

← Older revision		Revision as of 14:29, 2 October 2021
Line 1:		Line 1:
	The term '''temperament''' most commonly refers to ~~the~~ [[regular temperament]].		The term '''temperament''' most commonly refers to a [[regular temperament]].

	For tuning systems in general, see [[tuning system]].		For tuning systems in general, see [[tuning system]].

Inthar at 14:29, 2 October 2021

2021-10-02T14:29:01Z

← Older revision		Revision as of 14:29, 2 October 2021
Line 1:		Line 1:
	The '''temperament''' most commonly refers to the [[regular temperament]].		The term '''temperament''' most commonly refers to the [[regular temperament]].

	For tuning systems in general, see [[tuning system]].		For tuning systems in general, see [[tuning system]].

FloraC: Disambiguation

2021-10-02T14:26:58Z

Disambiguation

← Older revision		Revision as of 14:26, 2 October 2021
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	~~#REDIRECT~~ [[~~Regular~~ temperament]]		The '''temperament''' most commonly refers to the [[regular temperament]].

			For tuning systems in general, see [[tuning system]].

			See also [[well temperament]].

			[[Category:Disambiguation pages]]

Temperament - Revision history

FloraC: ***definition of tempering***

FloraC: Wording in intro; misc. cleanup

Fredg999 category edits: Moving from Category:Theory to Category:Tuning using Cat-a-lot

Fredg999: Added EDO acronym

Fredg999: Reworked lead section (clearer distinction between the definitions), added brief history of ET

FloraC: Note that WT can be viewed as tunings of RT. Adopt contemporary terminology and clarify

Fredg999: Expanded into a full page

Inthar at 14:29, 2 October 2021

Inthar at 14:29, 2 October 2021

FloraC: Disambiguation

FloraC: definition of tempering