List of approaches to musical tuning - Revision history

Zeta Function: /* Subjective processes */ Remove Contextual Xenharmonics for now. It is not a well-defined approach

2026-08-01T19:13:22Z

Subjective processes: Remove Contextual Xenharmonics for now. It is not a well-defined approach

← Older revision		Revision as of 19:13, 1 August 2026
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	The following approaches describe the subjective exploration process or its representations rather than its objective, audible result:		The following approaches describe the subjective exploration process or its representations rather than its objective, audible result:

	* Contextual Xenharmonics: The exploration of why things sound the way they do to some and not others.
	* [[Empirical]]: A form of hands-on field research as opposed to a form of acoustical or scale engineering, where tunings are specifically derived from listening and playing experiments carried out in the pitch continuum.		* [[Empirical]]: A form of hands-on field research as opposed to a form of acoustical or scale engineering, where tunings are specifically derived from listening and playing experiments carried out in the pitch continuum.
	* [[Pretty Pictures]] that represent scales in one way or another.		* [[Pretty Pictures]] that represent scales in one way or another.

Zeta Function: /* Subjective processes */ Delink

2026-08-01T18:57:42Z

Subjective processes: Delink

← Older revision		Revision as of 18:57, 1 August 2026
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	The following approaches describe the subjective exploration process or its representations rather than its objective, audible result:		The following approaches describe the subjective exploration process or its representations rather than its objective, audible result:

	* [[Contextual Xenharmonics]]: The exploration of why things sound the way they do to some and not others.		* Contextual Xenharmonics: The exploration of why things sound the way they do to some and not others.
	* [[Empirical]]: A form of hands-on field research as opposed to a form of acoustical or scale engineering, where tunings are specifically derived from listening and playing experiments carried out in the pitch continuum.		* [[Empirical]]: A form of hands-on field research as opposed to a form of acoustical or scale engineering, where tunings are specifically derived from listening and playing experiments carried out in the pitch continuum.
	* [[Pretty Pictures]] that represent scales in one way or another.		* [[Pretty Pictures]] that represent scales in one way or another.

Fredg999: Text replacement - "Combination product sets" to "Combination product sets"

2026-07-27T20:17:09Z

Text replacement - "Combination product sets" to "Combination product sets"

← Older revision		Revision as of 20:17, 27 July 2026
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	* [[Just intonation]]: The tuning of pitches so that their fundamental frequencies are related by ratios of whole numbers. An infinite world of numerous models:		* [[Just intonation]]: The tuning of pitches so that their fundamental frequencies are related by ratios of whole numbers. An infinite world of numerous models:
	** [[Adaptive just intonation]]		** [[Adaptive just intonation]]
	** [[Combination product ~~sets~~]]		** [[Combination product set]]s
	** [[Detempering]] (including [[ringer scale]]s)		** [[Detempering]] (including [[ringer scale]]s)
	** [[Fokker blocks]]		** [[Fokker blocks]]

Fredg999: Interwiki (order)

2026-07-19T06:34:04Z

Interwiki (order)

← Older revision		Revision as of 06:34, 19 July 2026
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	{{Interwiki		{{Interwiki
			\| de =
	\| en = List of approaches to musical tuning		\| en = List of approaches to musical tuning
	~~\| de =~~
	\| es = Orientación general		\| es = Orientación general
	\| ja = 調律方法		\| ja = 調律方法

Fredg999: Interwiki

2026-07-19T06:33:44Z

Interwiki

← Older revision		Revision as of 06:33, 19 July 2026
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	{{~~interwiki~~		{{Interwiki
	\| en = List of approaches to musical tuning		\| en = List of approaches to musical tuning
	\| de =		\| de =
	\| es =		\| es = Orientación general
	\| ja = 調律方法		\| ja = 調律方法
	}}		}}

Eufalesio: tiny things

2026-05-30T18:48:38Z

tiny things

← Older revision		Revision as of 18:48, 30 May 2026
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	* [[Equal-step tuning]]s: Tunings that use a single interval (and combinations thereof) to form a subtle monoculture of intervals. These include [[edo]]s (equal divisions of the octave), but also [[edonoi]] (equal divisions of [[nonoctave]] intervals).		* [[Equal-step tuning]]s: Tunings that use a single interval (and combinations thereof) to form a subtle monoculture of intervals. These include [[edo]]s (equal divisions of the octave), but also [[edonoi]] (equal divisions of [[nonoctave]] intervals).
	* [[MOS scale\|Moment of symmetry (MOS)]]: Tunings (or better, scales) that use iterations of a generating interval, modulo a period interval, to produce scales of two step-sizes.		* [[MOS scale\|Moment of symmetry (MOS)]]: Tunings (or better, scales) that use iterations of a generating interval, modulo a period interval, to produce scales of two step-sizes.
	* [[Tetrachord\|Tetrachordal scales]]: the use of divided fourths as building blocks for composition.		* [[Tetrachord\|Tetrachordal scales]]: the use of divided fourths or fifths as building blocks for composition.

	=== Frequency ratio-based ===		=== Frequency ratio-based ===
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	** etc.		** etc.
	* [[Timbral tuning]]: An approach similar to just intonation, but using an instrument's actual, non-harmonic overtone spectrum (e.g. the partials of a metal bar, drum head, or synthesized timbre) to relate frequencies instead of the harmonic series.		* [[Timbral tuning]]: An approach similar to just intonation, but using an instrument's actual, non-harmonic overtone spectrum (e.g. the partials of a metal bar, drum head, or synthesized timbre) to relate frequencies instead of the harmonic series.
	* [[Regular temperament]]s (including [[linear temperament]]s): a centuries-old practice that has recently undergone a mathematical facelift, in which just intonation is selectively and ~~regularly~~ detuned in various ways, to better meet a variety of compositional desires		* [[Regular temperament]]s (including [[linear temperament]]s): a centuries-old practice that has recently undergone a mathematical facelift, in which just intonation is selectively, regularly and consistently detuned in various ways to better meet a variety of compositional desires; most often making JI easier to navigate by [[tempering out]] [[Comma basis\|commas]] to equate similarly sized pitches.
	* [[Historical temperaments]]: The (somewhat forgotten) use of [[Pythagorean tuning]], [[meantone]] tunings and [[well temperament]]s in Western common practice music.		* [[Historical temperaments]]: The (somewhat forgotten) use of [[Pythagorean tuning]], [[meantone]] tunings and historic [[well temperament]]s in Western common practice music.
	* [[Xenharmonic series]]: Just intonation but the entire matrix of just intervals is stretched, squished or otherwise warped or manipulated for interesting effect.		* [[Xenharmonic series]]: Just intonation but the entire matrix of just intervals is stretched, squished or otherwise warped or manipulated for interesting effect.

Overthink: /* Ratio-based */ clarify

2026-02-15T04:53:46Z

Ratio-based: clarify

← Older revision		Revision as of 04:53, 15 February 2026
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	* [[Tetrachord\|Tetrachordal scales]]: the use of divided fourths as building blocks for composition.		* [[Tetrachord\|Tetrachordal scales]]: the use of divided fourths as building blocks for composition.

	=== ~~Ratio~~-based ===		=== Frequency ratio-based ===
	* [[Just intonation]]: The tuning of pitches so that their fundamental frequencies are related by ratios of whole numbers. An infinite world of numerous models:		* [[Just intonation]]: The tuning of pitches so that their fundamental frequencies are related by ratios of whole numbers. An infinite world of numerous models:
	** [[Adaptive just intonation]]		** [[Adaptive just intonation]]

ArrowHead294 at 13:26, 30 January 2026

2026-01-30T13:26:01Z

← Older revision		Revision as of 13:26, 30 January 2026
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	== Defined approaches ==		== Defined approaches ==

	=== Shape-based ===		=== Shape-based ===
	* [[Equal-step tuning]]s: Tunings that use a single interval (and combinations thereof) to form a subtle monoculture of intervals. These include [[edo]]s (equal divisions of the octave), but also [[edonoi]] (equal divisions of [[nonoctave]] intervals).		* [[Equal-step tuning]]s: Tunings that use a single interval (and combinations thereof) to form a subtle monoculture of intervals. These include [[edo]]s (equal divisions of the octave), but also [[edonoi]] (equal divisions of [[nonoctave]] intervals).

BudjarnLambeth: /* Musical traditions of indigenous, ancient, and/or non-Western cultures */ links

2025-10-21T21:59:13Z

Musical traditions of indigenous, ancient, and/or non-Western cultures: links

← Older revision		Revision as of 21:59, 21 October 2025
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	* [[Ancient Greek]]		* [[Ancient Greek]]
	* [[Arabic, Turkish, Persian\|Arabic]]		* [[Arabic, Turkish, Persian\|Arabic]]
	* [http://orthodoxwiki.org/Byzantine_Chant#The_scale ~~Byzantine~~]		* Byzantine
			** [http://orthodoxwiki.org/Byzantine_Chant#The_scale Orthodox Wiki page]
	* [[Wikipedia:Music of Croatia\|Croatian]] (including the [[Istrian]] scale)		* [[Wikipedia:Music of Croatia\|Croatian]] (including the [[Istrian]] scale)
	* [[Equipentatonic]] or [[equiheptatonic]] scales		* [[Equipentatonic]] or [[equiheptatonic]] scales
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	* [[Arabic, Turkish, Persian\|Iranian (Persian)]]		* [[Arabic, Turkish, Persian\|Iranian (Persian)]]
	* [[Pre-Columbian South American Music\|Pre-Columbian South American]] (e.g. Maya, Inca, Aztec)		* [[Pre-Columbian South American Music\|Pre-Columbian South American]] (e.g. Maya, Inca, Aztec)
	* [[Wikipedia:Music of Thailand\|~~Thai~~]]		* Thai
			** [[Wikipedia:Music of Thailand\|Wikipedia page]]
			** [https://www.reddit.com/r/GlobalMusicTheory/wiki/thaimusictheory/ r/GlobalMusicTheory reading list]
	* [[Arabic, Turkish, Persian\|Turkish]]		* [[Arabic, Turkish, Persian\|Turkish]]
	''Further reading: [https://www.reddit.com/r/GlobalMusicTheory/wiki/index/ the r/GlobalMusicTheory Wiki''].		''Further reading: [https://www.reddit.com/r/GlobalMusicTheory/wiki/index/ the r/GlobalMusicTheory Wiki''].

BudjarnLambeth: /* Musical traditions of indigenous, ancient, and/or non-Western cultures */ add link to r/GlobalMusicTheory wiki

2025-10-21T21:51:44Z

Musical traditions of indigenous, ancient, and/or non-Western cultures: add link to r/GlobalMusicTheory wiki

← Older revision		Revision as of 21:51, 21 October 2025
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	* [http://orthodoxwiki.org/Byzantine_Chant#The_scale Byzantine]		* [http://orthodoxwiki.org/Byzantine_Chant#The_scale Byzantine]
	* [[Wikipedia:Music of Croatia\|Croatian]] (including the [[Istrian]] scale)		* [[Wikipedia:Music of Croatia\|Croatian]] (including the [[Istrian]] scale)
			* [[Equipentatonic]] or [[equiheptatonic]] scales
	* [[Music of Georgia\|Georgian]]		* [[Music of Georgia\|Georgian]]
	* [[Indian]] (e.g. North, South)		* [[Indian]] (e.g. North, South)
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	* [[Wikipedia:Music of Thailand\|Thai]]		* [[Wikipedia:Music of Thailand\|Thai]]
	* [[Arabic, Turkish, Persian\|Turkish]]		* [[Arabic, Turkish, Persian\|Turkish]]
	* Many that use an [~~[equipentatonic]] or [[equiheptatonic]~~] ~~scale~~		''Further reading: [https://www.reddit.com/r/GlobalMusicTheory/wiki/index/ the r/GlobalMusicTheory Wiki''].

	== Subjective processes ==		== Subjective processes ==