Glossary - Revision history

FloraC: /* R */ "interval ratio" doesn't exist

2025-12-07T09:43:28Z

R: "interval ratio" doesn't exist

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	; [[rank]] : The number of [[#G\|generators]] of a set of [[#I\|intervals]], i.e. the set's dimensionality (not to be confused with the [[dimensionality]] of the temperament itself). For example, [[12edo]] is rank-1 because it can be generated by the semitone; [[Pythagorean tuning]] is rank-2 because it can be generated by the primes {2, 3}.		; [[rank]] : The number of [[#G\|generators]] of a set of [[#I\|intervals]], i.e. the set's dimensionality (not to be confused with the [[dimensionality]] of the temperament itself). For example, [[12edo]] is rank-1 because it can be generated by the semitone; [[Pythagorean tuning]] is rank-2 because it can be generated by the primes {2, 3}.

	; ratio : See [[#I\|~~interval~~ ratio]] and [[#S\|step ratio]]. May also be used to designate other mathematical ~~[[Wikipedia:Ratio~~\|~~ratios]]~~.		; ratio : See [[#F\|frequency ratio]] and [[#S\|step ratio]]. May also be used to designate other mathematical {{w\|ratio}}s.

	; [[reference tone]] (or reference pitch) : An agreed-upon fundamental or dominant [[#F\|frequency]] that musical instruments will reference when adjusting tuning.		; [[reference tone]] (or reference pitch) : An agreed-upon fundamental or dominant [[#F\|frequency]] that musical instruments will reference when adjusting tuning.

Inthar: /* C */

2025-12-02T03:40:50Z

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	; [[consonance]] : The subjective, contextual smoothness of an [[#I\|interval]] or [[#C\|chord]].		; [[consonance]] : The subjective, contextual smoothness of an [[#I\|interval]] or [[#C\|chord]].

	; [[constant structure]] (CS) : The property of a [[#S\|scale]] whose [[#I\|interval classes]] ~~are distinct~~.		; [[constant structure]] (CS) : The property of a [[#S\|scale]] whose [[#I\|interval classes]] do not overlap.

	== D ==		== D ==

Fredg999: Manually add "See also" in horizontal TOC

2025-07-20T02:37:14Z

Manually add "See also" in horizontal TOC

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	\| a23=[[#W\|W–Z]]		\| a23=[[#W\|W–Z]]
	\| a24=[[#0–9\|0–9]]		\| a24=[[#0–9\|0–9]]
			\| a25=[[#See also\|See also]]
	}}		}}

Fredg999: Link already in the "See also" section at the bottom of the page

2025-07-20T02:35:19Z

Link already in the "See also" section at the bottom of the page

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	A concise list of essential [[:Category:Terms\|terms]] in xenharmonic music theory. See also: [[acronyms]].		A concise list of essential [[:Category:Terms\|terms]] in xenharmonic music theory. See also: [[acronyms]].

	~~== Other glossaries ==~~
	* [[Glossary of scale properties]]


	{{TOC Horizontal		{{TOC Horizontal

BudjarnLambeth: /* Other glossaries */

2025-07-20T01:55:31Z

Other glossaries

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	== Other glossaries ==		== Other glossaries ==
	* [[Glossary of scale properties]]		* [[Glossary of scale properties]]


	{{TOC Horizontal		{{TOC Horizontal

BudjarnLambeth at 01:55, 20 July 2025

2025-07-20T01:55:24Z

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	A concise list of essential [[:Category:Terms\|terms]] in xenharmonic music theory. See also: [[acronyms]].		A concise list of essential [[:Category:Terms\|terms]] in xenharmonic music theory. See also: [[acronyms]].

			== Other glossaries ==
			* [[Glossary of scale properties]]

	{{TOC Horizontal		{{TOC Horizontal

Fredg999: /* A */ "avoid note" is not xen-specific

2025-07-18T05:26:02Z

A: "avoid note" is not xen-specific

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	== A ==		== A ==
	; [[achiral scale]] : A [[#S\|scale]] whose mirror image (reversing the order of its [[#S\|steps]]) is a [[#M\|mode]] of the same scale.		; [[achiral scale]] : A [[#S\|scale]] whose mirror image (reversing the order of its [[#S\|steps]]) is a [[#M\|mode]] of the same scale.
	~~; avoid note : A note in a scale which is considered dissonant relative to the root chord, and is thus preferably avoided~~.

	== B ==		== B ==

FloraC: /* M */ corrections

2025-07-07T12:55:15Z

M: corrections

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	; [[mode]] : A particular rotation of a [[#S\|scale]], e.g. Ionian, Dorian etc. for the [[#D\|diatonic scale]].		; [[mode]] : A particular rotation of a [[#S\|scale]], e.g. Ionian, Dorian etc. for the [[#D\|diatonic scale]].

	; [[monzo]] : A representation of a [[#J\|just intonation]] [[#I\|interval]] using the exponents in its prime factorization; e.g. 81/80 = {{monzo\|-4 4 -1}}.		; [[monzo]] : A representation of a [[#J\|just intonation]] [[#I\|interval]] using the exponents in its prime factorization; e.g. the monzo of 81/80 is {{monzo\| -4 4 -1 }}.

	; [[moment-of-symmetry scale]] (MOS scale) : A type of [[#S\|scale]] that generalizes the [[#D\|diatonic scale]] by preserving some of its properties, including [[#M\|maximum-variety 2]] and [[#R\|rank 2]].		; [[moment-of-symmetry scale]] (MOS scale) : A type of [[#S\|scale]] that generalizes the [[#D\|diatonic scale]] by preserving some of its properties, including [[#M\|maximum-variety 2]] and [[#R\|rank 2]].

	; [[Myhill's property]] : The property of a [[#S\|scale]] with [[#M\|~~maximum~~ variety]] 2.		; [[Myhill's property]] : The property of a [[#S\|scale]] with [[#S\|strict variety]] 2.

	== N ==		== N ==

BudjarnLambeth: /* L */

2025-05-26T11:55:14Z

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	== K ==		== K ==
	== L ==		== L ==
	; L (as in L7.13) : ~~Limit~~ (e.g. "L11.19" is a shorthand for "2.3.5.7.11.19", or "11 prime limit, plus 19".~~) ''see below:''~~		; L (as in L7.13) : Shorthand for "prime limit" (e.g. "L11.19" is a shorthand for "2.3.5.7.11.19", or "11 prime limit, plus 19").

	; limit : See [[#P\|prime limit]], [[#O\|odd limit]] and [[#I\|integer limit]].		; limit : See [[#P\|prime limit]], [[#O\|odd limit]] and [[#I\|integer limit]].

BudjarnLambeth: /* L */

2025-05-26T07:39:24Z

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	== K ==		== K ==
	== L ==		== L ==
	; L (as in ~~L11~~.19) : Limit (e.g. "L11.19" is a shorthand for "2.3.5.7.11.19", or "11 prime limit, plus 19".) ''see below:''		; L (as in L7.13) : Limit (e.g. "L11.19" is a shorthand for "2.3.5.7.11.19", or "11 prime limit, plus 19".) ''see below:''

	; limit : See [[#P\|prime limit]], [[#O\|odd limit]] and [[#I\|integer limit]].		; limit : See [[#P\|prime limit]], [[#O\|odd limit]] and [[#I\|integer limit]].

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	; [[rank]] : The number of [[#G\|generators]] of a set of [[#I\|intervals]], i.e. the set's dimensionality (not to be confused with the [[dimensionality]] of the temperament itself). For example, [[12edo]] is rank-1 because it can be generated by the semitone; [[Pythagorean tuning]] is rank-2 because it can be generated by the primes {2, 3}.		; [[rank]] : The number of [[#G\|generators]] of a set of [[#I\|intervals]], i.e. the set's dimensionality (not to be confused with the [[dimensionality]] of the temperament itself). For example, [[12edo]] is rank-1 because it can be generated by the semitone; [[Pythagorean tuning]] is rank-2 because it can be generated by the primes {2, 3}.

	; ratio : See [[#I\|~~interval~~ ratio]] and [[#S\|step ratio]]. May also be used to designate other mathematical ~~[[Wikipedia:Ratio~~\|~~ratios]]~~.		; ratio : See [[#F\|frequency ratio]] and [[#S\|step ratio]]. May also be used to designate other mathematical {{w\|ratio}}s.

	; [[reference tone]] (or reference pitch) : An agreed-upon fundamental or dominant [[#F\|frequency]] that musical instruments will reference when adjusting tuning.		; [[reference tone]] (or reference pitch) : An agreed-upon fundamental or dominant [[#F\|frequency]] that musical instruments will reference when adjusting tuning.

← Older revision		Revision as of 12:55, 7 July 2025
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	; [[mode]] : A particular rotation of a [[#S\|scale]], e.g. Ionian, Dorian etc. for the [[#D\|diatonic scale]].		; [[mode]] : A particular rotation of a [[#S\|scale]], e.g. Ionian, Dorian etc. for the [[#D\|diatonic scale]].

	; [[monzo]] : A representation of a [[#J\|just intonation]] [[#I\|interval]] using the exponents in its prime factorization; e.g. 81/80 = {{monzo\|-4 4 -1}}.		; [[monzo]] : A representation of a [[#J\|just intonation]] [[#I\|interval]] using the exponents in its prime factorization; e.g. the monzo of 81/80 is {{monzo\| -4 4 -1 }}.

	; [[moment-of-symmetry scale]] (MOS scale) : A type of [[#S\|scale]] that generalizes the [[#D\|diatonic scale]] by preserving some of its properties, including [[#M\|maximum-variety 2]] and [[#R\|rank 2]].		; [[moment-of-symmetry scale]] (MOS scale) : A type of [[#S\|scale]] that generalizes the [[#D\|diatonic scale]] by preserving some of its properties, including [[#M\|maximum-variety 2]] and [[#R\|rank 2]].

	; [[Myhill's property]] : The property of a [[#S\|scale]] with [[#M\|~~maximum~~ variety]] 2.		; [[Myhill's property]] : The property of a [[#S\|scale]] with [[#S\|strict variety]] 2.

	== N ==		== N ==