List of approaches to musical tuning: Difference between revisions
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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). | ||
* [[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 === | ||
* [[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]] | ||
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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 | ||
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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 | * [[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. | ||
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* [[Ancient Greek]] | * [[Ancient Greek]] | ||
* [[Arabic, Turkish, Persian|Arabic]] | * [[Arabic, Turkish, Persian|Arabic]] | ||
* [http://orthodoxwiki.org/Byzantine_Chant#The_scale | * 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) | ||
* [[Georgian]] | * [[Equipentatonic]] or [[equiheptatonic]] scales | ||
* [[Music of Georgia|Georgian]] | |||
* [[Indian]] (e.g. North, South) | * [[Indian]] (e.g. North, South) | ||
* [[Indonesian]] ( | * [[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) | ||
* [[Wikipedia:Music of Thailand| | * 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'']. | |||
== Subjective processes == | == Subjective processes == | ||
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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 == | ||