Temperament families and clans - Revision history

FloraC: + missing info

2026-06-04T20:12:19Z

+ missing info

← Older revision		Revision as of 20:12, 4 June 2026
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	{{Beginner\|Subgroup temperament families, relationships, and genes}}		{{Beginner\|Subgroup temperament families, relationships, and genes}}
	'''Temperament families''' and '''clans''' are ways to organize [[regular temperament]]s. Two temperaments are in the same ~~'''~~clan~~'''~~ if there is some [[subgroup]] in which both temperaments temper out the same single comma (which defines the clan). Each clan has a parent temperament, which is the temperament in the given subgroup in which precisely that comma is tempered out; this implies all temperaments in a clan must be of the same [[rank]] as each other and the parent temperament. (For example, the parent of the archytas clan is 2.3.7 archy, tempering out [[64/63]] in the [[2.3.7 subgroup]], and all rank-2 temperaments which temper out 64/63 in 2.3.7 are part of the archytas clan) A special case of clans are ~~'''~~families~~'''~~, where the common subgroup is a prime limit (2.3.5 for a rank-2 temperament, for example). ~~(Note that~~ a family is usually not called a clan.)		'''Temperament families''' and '''clans''' are ways to organize [[regular temperament]]s. Two temperaments are in the same clan if there is some [[subgroup]] in which both temperaments [[tempering out\|temper out]] the same single [[comma]], which defines the clan. Each clan has a parent temperament, which is the temperament in the given subgroup in which precisely that comma is tempered out; this implies all temperaments in a clan must be of the same [[rank]] as each other and the parent temperament. (For example, the parent of the archytas clan is 2.3.7 archy, tempering out [[64/63]] in the [[2.3.7 subgroup]], and all rank-2 temperaments which temper out 64/63 in 2.3.7 are part of the archytas clan)

			A special case of clans are families, where the common subgroup is a [[prime limit]] (2.3.5 for a rank-2 temperament, for example). However, a family is usually not called a clan.

			Besides families and clans, there are pages that collect temperaments of a certain comma on this wiki. These pages are for temperaments one rank lower than its corresponding family, and are used because some temperaments are more closely associated with the comma than any other or otherwise do not belong to any notable family or clan.

	For example, [[porky]] and [[porcupinefish]] are both in the [[porcupine family]], because they have a common 5-limit structure in which only the porcupine comma [[250/243]] is tempered out, which is equivalent to 5-limit [[porcupine]] temperament. In other words, they are both extensions of 2.3.5 porcupine (and in fact of 2.3.5.11 porkypine).		For example, [[porky]] and [[porcupinefish]] are both in the [[porcupine family]], because they have a common 5-limit structure in which only the porcupine comma [[250/243]] is tempered out, which is equivalent to 5-limit [[porcupine]] temperament. In other words, they are both extensions of 2.3.5 porcupine (and in fact of 2.3.5.11 porkypine).
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	== See also ==		== See also ==
	* [[Tour of ~~Regular Temperaments~~]]		* [[Tour of regular temperaments]]
	* [[:Category:Temperament families]]		* [[:Category: Temperament families]]
	* [[:Category:Temperament clans]]		* [[:Category: Temperament clans]]
			* [[:Category: Temperament collections]]

	~~{{todo\|inline=1\|expand}}~~
	[[Category:Regular temperament theory]]		[[Category:Regular temperament theory]]
	[[Category:Temperament families\| ]] <!-- Main article -->		[[Category:Temperament families\| ]] <!-- Main article -->
	[[Category:Temperament clans\| ]] <!-- Main article -->		[[Category:Temperament clans\| ]] <!-- Main article -->
			[[Category:Temperament collections\| ]] <!-- Main article -->

Lériendil at 05:31, 15 May 2025

2025-05-15T05:31:07Z

← Older revision		Revision as of 05:31, 15 May 2025
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	{{Beginner\|Subgroup temperament families, relationships, and genes}}		{{Beginner\|Subgroup temperament families, relationships, and genes}}
	'''Temperament families''' and '''clans''' are ways to organize [[regular temperament]]s. Two temperaments are in the same '''clan''' if there is some subgroup in which both temperaments temper out the same single comma (which defines the clan). Each clan has a parent temperament, which is the temperament in the given subgroup in which precisely that comma is tempered out~~, and more specifically,~~ all temperaments in a clan must be of the same rank as the parent temperament. (For example, the parent of the archytas clan is 2.3.7 archy, tempering out 64/63 in the 2.3.7 subgroup, and all rank-2 temperaments which temper out 64/63 in 2.3.7 are part of the archytas clan) A special case of clans are '''families''', where the common subgroup is a prime limit (2.3.5 for a rank-2 temperament, for example). (Note that a family is usually not called a clan.)		'''Temperament families''' and '''clans''' are ways to organize [[regular temperament]]s. Two temperaments are in the same '''clan''' if there is some [[subgroup]] in which both temperaments temper out the same single comma (which defines the clan). Each clan has a parent temperament, which is the temperament in the given subgroup in which precisely that comma is tempered out; this implies all temperaments in a clan must be of the same [[rank]] as each other and the parent temperament. (For example, the parent of the archytas clan is 2.3.7 archy, tempering out [[64/63]] in the [[2.3.7 subgroup]], and all rank-2 temperaments which temper out 64/63 in 2.3.7 are part of the archytas clan) A special case of clans are '''families''', where the common subgroup is a prime limit (2.3.5 for a rank-2 temperament, for example). (Note that a family is usually not called a clan.)

	For example, [[porky]] and [[porcupinefish]] are both in the [[porcupine family]], because they have a common 5-limit structure in which only the porcupine comma [[250/243]] is tempered out, which is equivalent to 5-limit [[porcupine]] temperament. In other words, they are both extensions of 2.3.5 porcupine (and in fact of 2.3.5.11 porkypine).		For example, [[porky]] and [[porcupinefish]] are both in the [[porcupine family]], because they have a common 5-limit structure in which only the porcupine comma [[250/243]] is tempered out, which is equivalent to 5-limit [[porcupine]] temperament. In other words, they are both extensions of 2.3.5 porcupine (and in fact of 2.3.5.11 porkypine).

VectorGraphics at 05:28, 15 May 2025

2025-05-15T05:28:22Z

← Older revision		Revision as of 05:28, 15 May 2025
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	{{Beginner\|Subgroup temperament families, relationships, and genes}}		{{Beginner\|Subgroup temperament families, relationships, and genes}}
	'''Temperament families''' and '''clans''' are ways to organize [[regular temperament]]s. Two temperaments are in the same '''clan''' if there is some subgroup in which both temperaments temper out the same single comma (which defines the clan). Each clan has a parent temperament, which is the temperament in the given subgroup in which precisely that comma is tempered out. (For example, the parent of the archytas clan is 2.3.7 archy, tempering out 64/63 in the 2.3.7 subgroup.) A special case of clans are '''families''', where the common subgroup is a prime limit (2.3.5 for a rank-2 temperament, for example). (Note that a family is usually not called a clan.)		'''Temperament families''' and '''clans''' are ways to organize [[regular temperament]]s. Two temperaments are in the same '''clan''' if there is some subgroup in which both temperaments temper out the same single comma (which defines the clan). Each clan has a parent temperament, which is the temperament in the given subgroup in which precisely that comma is tempered out, and more specifically, all temperaments in a clan must be of the same rank as the parent temperament. (For example, the parent of the archytas clan is 2.3.7 archy, tempering out 64/63 in the 2.3.7 subgroup, and all rank-2 temperaments which temper out 64/63 in 2.3.7 are part of the archytas clan) A special case of clans are '''families''', where the common subgroup is a prime limit (2.3.5 for a rank-2 temperament, for example). (Note that a family is usually not called a clan.)

	For example, [[porky]] and [[porcupinefish]] are both in the [[porcupine family]], because they have a common 5-limit structure in which only the porcupine comma [[250/243]] is tempered out, which is equivalent to 5-limit [[porcupine]] temperament. In other words, they are both extensions of 2.3.5 porcupine (and in fact of 2.3.5.11 porkypine).		For example, [[porky]] and [[porcupinefish]] are both in the [[porcupine family]], because they have a common 5-limit structure in which only the porcupine comma [[250/243]] is tempered out, which is equivalent to 5-limit [[porcupine]] temperament. In other words, they are both extensions of 2.3.5 porcupine (and in fact of 2.3.5.11 porkypine).

VectorGraphics at 05:26, 15 May 2025

2025-05-15T05:26:27Z

← Older revision		Revision as of 05:26, 15 May 2025
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	{{Beginner\|Subgroup temperament families, relationships, and genes}}		{{Beginner\|Subgroup temperament families, relationships, and genes}}
	'''Temperament families''' and '''clans''' are ways to organize [[regular temperament]]s. A temperament family ~~starts with~~ a ~~full~~ [[~~Harmonic limit\|prime~~-limit]] ~~temperament~~ which [[~~Tempering out\|tempers out~~]] ~~only one~~ [[~~comma~~]], and ~~includes~~ [[~~extension~~]]~~s of it~~. ~~A temperament clan is similar~~ to ~~a temperament family but it starts with a~~ [[~~subgroup~~]] ~~temperament instead~~.		'''Temperament families''' and '''clans''' are ways to organize [[regular temperament]]s. Two temperaments are in the same '''clan''' if there is some subgroup in which both temperaments temper out the same single comma (which defines the clan). Each clan has a parent temperament, which is the temperament in the given subgroup in which precisely that comma is tempered out. (For example, the parent of the archytas clan is 2.3.7 archy, tempering out 64/63 in the 2.3.7 subgroup.) A special case of clans are '''families''', where the common subgroup is a prime limit (2.3.5 for a rank-2 temperament, for example). (Note that a family is usually not called a clan.)

			For example, [[porky]] and [[porcupinefish]] are both in the [[porcupine family]], because they have a common 5-limit structure in which only the porcupine comma [[250/243]] is tempered out, which is equivalent to 5-limit [[porcupine]] temperament. In other words, they are both extensions of 2.3.5 porcupine (and in fact of 2.3.5.11 porkypine).

			[[Ultrapyth]] and superpyth are both in the [[archytas clan]], because they have a common 2.3.7 structure equivalent to [[archy]], as they both temper out 64/63 in the 2.3.7 subgroup. In other words, they are both extensions of 2.3.7 archy.

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

ArrowHead294 at 12:25, 31 March 2025

2025-03-31T12:25:39Z

← Older revision		Revision as of 12:25, 31 March 2025
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	{{Beginner\|Subgroup ~~Temperament Families~~, ~~Relationships~~, and ~~Genes~~}}		{{Beginner\|Subgroup temperament families, relationships, and genes}}
	'''Temperament families''' and '''clans''' are ways to organize [[regular temperament]]s. A temperament family starts with a full [[Harmonic limit\|prime-limit]] temperament which [[Tempering out\|tempers out]] only one [[comma]], and includes [[extension]]s of it. A temperament clan is similar to a temperament family but it starts with a [[subgroup]] temperament instead.		'''Temperament families''' and '''clans''' are ways to organize [[regular temperament]]s. A temperament family starts with a full [[Harmonic limit\|prime-limit]] temperament which [[Tempering out\|tempers out]] only one [[comma]], and includes [[extension]]s of it. A temperament clan is similar to a temperament family but it starts with a [[subgroup]] temperament instead.

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	* [[:Category:Temperament families]]		* [[:Category:Temperament families]]
	* [[:Category:Temperament clans]]		* [[:Category:Temperament clans]]


	{{todo\|inline=1\|expand}}		{{todo\|inline=1\|expand}}

Sintel: Undo revision 179629 by Tremend (talk)

2025-02-07T00:38:44Z

Undo revision 179629 by Tremend (talk)

← Older revision		Revision as of 00:38, 7 February 2025
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	{{Beginner\|Subgroup Temperament Families, Relationships, and Genes}}		{{Beginner\|Subgroup Temperament Families, Relationships, and Genes}}
	'''Temperament ~~family or~~ families''' and '''clans''' are ways to organize [[regular temperament]]s. A temperament family starts with a full [[Harmonic limit\|prime-limit]] temperament which [[Tempering out\|tempers out]] only one [[comma]], and includes [[extension]]s of it. A temperament clan is similar to a temperament family but it starts with a [[subgroup]] temperament instead.		'''Temperament families''' and '''clans''' are ways to organize [[regular temperament]]s. A temperament family starts with a full [[Harmonic limit\|prime-limit]] temperament which [[Tempering out\|tempers out]] only one [[comma]], and includes [[extension]]s of it. A temperament clan is similar to a temperament family but it starts with a [[subgroup]] temperament instead.

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

Tremend at 00:18, 7 February 2025

2025-02-07T00:18:42Z

← Older revision		Revision as of 00:18, 7 February 2025
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	{{Beginner\|Subgroup Temperament Families, Relationships, and Genes}}		{{Beginner\|Subgroup Temperament Families, Relationships, and Genes}}
	'''Temperament families''' and '''clans''' are ways to organize [[regular temperament]]s. A temperament family starts with a full [[Harmonic limit\|prime-limit]] temperament which [[Tempering out\|tempers out]] only one [[comma]], and includes [[extension]]s of it. A temperament clan is similar to a temperament family but it starts with a [[subgroup]] temperament instead.		'''Temperament family or families''' and '''clans''' are ways to organize [[regular temperament]]s. A temperament family starts with a full [[Harmonic limit\|prime-limit]] temperament which [[Tempering out\|tempers out]] only one [[comma]], and includes [[extension]]s of it. A temperament clan is similar to a temperament family but it starts with a [[subgroup]] temperament instead.

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

BudjarnLambeth: Update todo

2024-12-21T07:24:46Z

Update todo

← Older revision		Revision as of 07:24, 21 December 2024
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	* [[:Category:Temperament clans]]		* [[:Category:Temperament clans]]


			{{todo\|inline=1\|expand}}
	[[Category:Regular temperament theory]]		[[Category:Regular temperament theory]]
	[[Category:Temperament families\| ]] <!-- Main article -->		[[Category:Temperament families\| ]] <!-- Main article -->
	[[Category:Temperament clans\| ]] <!-- Main article -->		[[Category:Temperament clans\| ]] <!-- Main article -->
	~~{{Stub}}{{todo\|expand}}~~

ArrowHead294 at 15:18, 29 May 2024

2024-05-29T15:18:54Z

← Older revision		Revision as of 15:18, 29 May 2024
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	[[Category:Regular temperament theory]]		[[Category:Regular temperament theory]]
	[[Category:Temperament families\| ]] <!-- ~~main~~ article -->		[[Category:Temperament families\| ]] <!-- Main article -->
	[[Category:Temperament clans\| ]] <!-- ~~main~~ article -->		[[Category:Temperament clans\| ]] <!-- Main article -->


	{{Stub}}{{todo\|expand}}		{{Stub}}{{todo\|expand}}

BudjarnLambeth: +todo expand

2024-01-30T07:34:34Z

+todo expand

← Older revision		Revision as of 07:34, 30 January 2024
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	{{Stub}}		{{Stub}}{{todo\|expand}}