List of approaches to musical tuning: Difference between revisions

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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: the [[harmonic series]], integer frequency ratios, [[tonality diamond]]s, [[combination product sets]], [[Fokker blocks]], [[primodality]], etc.
* [[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.
* [[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.
* [[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
* Musical traditions of indigenous, ancient, and/or non-Western cultures
** [[African]]
** [[Arabic, Turkish, Persian]]
** [[Arabic, Turkish, Persian]]
** [[Georgian]]
** [[Wikipedia:Musical_system_of_ancient_Greece|Ancient Greek]], [http://orthodoxwiki.org/Byzantine_Chant#The_scale Byzantine]
** [[Indian]] (North, South)
** [[Indian]] (North, South)
** [[African]]
** [[Indonesian]] (Java, Bali)
** [[Pre-Columbian South American Music|Pre-Columbian South American]] (e.g. Maya, Inca, Aztec..)
** [[Wikipedia:Music of Thailand|Thai]]
** [[Wikipedia:Music of Thailand|Thai]]
** [[Pre-Columbian South American Music|Pre-Columbian South American]] (e.g. Maya, Inca, Aztec..)
** [[Indonesian]] (Java, Bali)
** [[Wikipedia:Musical_system_of_ancient_Greece|Ancient Greek]], [http://orthodoxwiki.org/Byzantine_Chant#The_scale Byzantine]
** [[Georgian]]
* [[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
* [[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
* [[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.