List of approaches to musical tuning: Difference between revisions

<ul><li>[[JustIntonation|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 diamonds, eikosany, Fokker blocks etc.</li><li>[[Generalized_overtone_tuning|Generalized overtone 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.</li><li>[[Equal_Temperaments|Equal tuning]]: Tunings that use a single interval (and combinations thereof) to form a subtle monoculture of intervals.</li><li>[[Historical_Western_Temperaments|Historical Western Temperaments]]: The (somewhat forgotten) use of [[Meantone|meantone tunings]] and [[Circulating_Temperaments|circulating temperaments]] in Western common practice music.</li><li>Musical traditions of indigenous, ancient, and/or non-Western cultures<ul><li>[[Arabic,_Turkish,_Persian|Arabic, Turkish, Persian]]</li><li>[[Indian|Indian]] (North, South)</li><li>[[African|African]]</li><li>Thai</li><li>[[Pre-Columbian_South_American_Music|Pre-Columbian South American]] (e.g. Maya, Inca, Aztec..)</li><li>[[Indonesian|Indonesian]] (Java, Bali)</li><li>Ancient Greek, [http://orthodoxwiki.org/Byzantine_Chant#The_scale Byzantine]</li><li>[[Georgian|Georgian]]</li></ul></li><li>[[Regular_Temperaments|Regular Temperaments]]: (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</li><li>[[MOSScales|Moment of Symmetry]]: Tunings (or better, scales) that use iterations of a generating interval, modulo a period interval, to produce scales of two step-sizes.</li><li>[[Empirical|Empirical]]: This is 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.</li><li>[[tetrachord|Tetrachordal Scales]]: the use of divided fourths as building blocks for composition.</li><li>[[isoharmonic_chords|Isoharmonic chords/scales]]</li><li>[[Pretty_Pictures|Pretty Pictures]] that represent scales in one way or another</li><li>[[Notation|Notation]] (pretty pictures for the purpose of writing music down)<ul><li>[[Nominal-Accidental_Chains|Nominal-Accidental Chains]] A common approach to notation</li></ul></li><li>the notion of a [[Scalesmith|Scalesmith]] who ''builds'' scales, with various methods, perhaps for single occasions<ul><li>Mathematically based scales</li><li>Acoustically-based scales (resonant frequencies of performance space, for example)</li><li>Scale transformation and stretching</li><li>Counter-intuitive, random, arbitrary scales</li></ul></li></ul>