List of approaches to musical tuning - Revision history

Eufalesio: tiny things

2026-05-30T18:48:38Z

tiny things

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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

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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 ==

BudjarnLambeth: /* Ratio-based */

2025-10-07T09:26:43Z

Ratio-based

← Older revision		Revision as of 09:26, 7 October 2025
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	** [[Fokker blocks]]		** [[Fokker blocks]]
	** The [[harmonic series]] and [[subharmonic series]]		** The [[harmonic series]] and [[subharmonic series]]
	** [[Harmonic limits]]		** [[Harmonic limits]] and [[harmonic class]]es
	** [[Isoharmonic chord]]s		** [[Isoharmonic chord]]s
	** [[Just intonation subgroup]]s		** [[Just intonation subgroup]]s

BudjarnLambeth: /* Subjective processes */ Add the word "or", add link for "arbitrary"

2025-05-12T02:28:45Z

Subjective processes: Add the word "or", add link for "arbitrary"

← Older revision		Revision as of 02:28, 12 May 2025
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	** Acoustically-based scales (resonant frequencies of performance space, for example)		** Acoustically-based scales (resonant frequencies of performance space, for example)
	** Scale transformation and stretching		** Scale transformation and stretching
	** Counter-intuitive, random, arbitrary scales		** Counter-intuitive, random, or [[:Category:Novelties\|arbitrary]] scales

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

Sintel: /* Musical traditions of indigenous, ancient, and/or non-Western cultures */ Link Georgian directly

2025-05-10T15:41:52Z

Musical traditions of indigenous, ancient, and/or non-Western cultures: Link Georgian directly

← Older revision		Revision as of 15:41, 10 May 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)
	* [[Georgian]]		* [[Music of Georgia\|Georgian]]
	* [[Indian]] (e.g. North, South)		* [[Indian]] (e.g. North, South)
	* [[Indonesian]] (most famously [[gamelan]])		* [[Indonesian]] (most famously [[gamelan]])

Sintel: /* Musical traditions of indigenous, ancient, and/or non-Western cultures */ Indonesia: link gamelan

2025-05-10T15:28:46Z

Musical traditions of indigenous, ancient, and/or non-Western cultures: Indonesia: link gamelan

← Older revision		Revision as of 15:28, 10 May 2025
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	* [[Georgian]]		* [[Georgian]]
	* [[Indian]] (e.g. North, South)		* [[Indian]] (e.g. North, South)
	* [[Indonesian]] (~~e.g. Java, Bali~~)		* [[Indonesian]] (most famously [[gamelan]])
	* [[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)

Sintel: /* Ratio-based */ -Homothetic, niche topic

2025-04-26T11:33:40Z

Ratio-based: -Homothetic, niche topic

← Older revision		Revision as of 11:33, 26 April 2025
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	* [[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 and regularly detuned in various ways, to better meet a variety of compositional desires
	* [[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 [[well temperament]]s in Western common practice music.
	* [[Homothetic just intonation]]: Just intonation with extra tones added in between according to a specific method.
	* [[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.