List of approaches to musical tuning: Difference between revisions

BudjarnLambeth (talk | contribs)
m Made "Pythagorean" link to "Pythagorean tuning" instead of the "Pythagorean" disambiguation page
BudjarnLambeth (talk | contribs)
m Moved regular temperaments after just intonation in the list instead of before, because the description of regular temperaments refers back to just intonation
Line 8: Line 8:


* [[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]]).
* [[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.
*[[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:
Line 17: Line 16:
**[[Tonality diamond]]s
**[[Tonality diamond]]s
** etc.
** etc.
*[[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
*[[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.
* Musical traditions of indigenous, ancient, and/or non-Western cultures:
* Musical traditions of indigenous, ancient, and/or non-Western cultures: