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List of approaches to musical tuning: Difference between revisions

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Converted comma list of just intonation methods into a dot point list. Moved just intonation lower down on the list so that the article doesn't immediately open with a massive wall of intimidating technical-sounding terms.
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Musical [[tuning]] can be approached in many different ways. Here are some of the currently-established theories and approaches:
Musical [[tuning]] can be approached in many different ways. Here are some of the currently-established theories and approaches:


* [[Just intonation]]: The tuning of pitches so that their fundamental frequencies are related by ratios of whole numbers. An infinite world of numerous models: [[combination product sets]], the [[harmonic series]], [[Fokker blocks]], integer frequency ratios, [[overtone scale]]s, [[primodality]], [[tonality diamond]]s, 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.
* [[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 many [[nonoctave]] tunings (sometimes called [[edonoi]]).
* [[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 many [[nonoctave]] tunings (sometimes called [[edonoi]]).
* [[Historical temperaments|Historical western temperaments]]: The (somewhat forgotten) use of [[Pythagorean]] and [[meantone]] tunings and [[well temperament]]s in Western common practice music.
* [[Regular temperament]]s: (including linear temperaments): 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
* Musical traditions of indigenous, ancient, and/or non-Western cultures
*[[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.
*[[Historical temperaments|Historical western temperaments]]: The (somewhat forgotten) use of [[Pythagorean]] and [[meantone]] tunings and [[well temperament]]s in Western common practice music.
* Musical traditions of indigenous, ancient, and/or non-Western cultures:
**[[African]]
**[[African]]
** [[Arabic, Turkish, Persian]]
**[[Wikipedia:Musical_system_of_ancient_Greece|Ancient Greek]]
** [[Music of Georgia|Georgian]]
**[[Arabic, Turkish, Persian]]
** [[Wikipedia:Musical_system_of_ancient_Greece|Ancient Greek]], [http://orthodoxwiki.org/Byzantine_Chant#The_scale Byzantine]
** [http://orthodoxwiki.org/Byzantine_Chant#The_scale Byzantine]
** [[Indian]] (North, South)
**[[Music of Georgia|Georgian]]
** [[Indonesian]] (Java, Bali)
**[[Indian]] (North, South)
** [[Pre-Columbian South American Music|Pre-Columbian South American]] (e.g. Maya, Inca, Aztec..)
**[[Indonesian]] (Java, Bali)
** [[Wikipedia:Music of Thailand|Thai]]
**[[Pre-Columbian South American Music|Pre-Columbian South American]] (e.g. Maya, Inca, Aztec..)
* [[Regular temperament]]s: (including linear temperaments): 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
**[[Wikipedia:Music of Thailand|Thai]]
* [[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 as building blocks for composition.
*[[Isoharmonic chords]]: the use of chords with an equal harmonic difference between the pitches as building blocks for scales.
* [[Isoharmonic chords]]: the use of chords with an equal harmonic difference between the pitches as building blocks for scales.
* [[Just intonation]]: The tuning of pitches so that their fundamental frequencies are related by ratios of whole numbers. An infinite world of numerous models:
** [[Combination product sets]]
** The [[harmonic series]]
** [[Fokker blocks]]
** Integer frequency ratios
** [[Overtone scale]]s
** [[Primodality]]
** [[Tonality diamond]]s
** 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.


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:
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