List of approaches to musical tuning
(Redirected from Approaches to Musical Tuning)
Jump to navigation
Jump to search
Musical tuning can be approached in many different ways. Here are some of the currently-established theories and approaches:
- Equal-step tunings: Tunings that use a single interval (and combinations thereof) to form a subtle monoculture of intervals. These include edos (equal divisions of the octave), but also edonoi (equal divisions of nonoctave intervals).
- 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:
- Combination product sets
- Fokker blocks
- The harmonic series and subharmonic series
- Harmonic limits
- Isoharmonic chords
- Just intonation subgroups
- NEJI scales (near-equal just intonation)
- Overtone scales/AFDOs
- Primodality
- Tonality diamonds
- Tritriadic scales
- Undertone scales/IFDOs
- etc.
- 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
- 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.
- Extensions or alterations of just intonation:
- Musical traditions of indigenous, ancient, and/or non-Western cultures:
- African
- Ancient Greek
- Arabic, Turkish, Persian
- Byzantine
- Georgian
- Indian (e.g. North, South)
- Indonesian (e.g. Java, Bali)
- Pre-Columbian South American (e.g. Maya, Inca, Aztec)
- Thai
- Historical temperaments: The (somewhat forgotten) use of Pythagorean tuning, meantone tunings and well temperaments in Western common practice music.
- Tetrachordal scales: the use of divided fourths as building blocks for composition.
Subjective processes
The following approaches describe the subjective exploration process or its representations rather than its objective, audible result:
- Contextual Xenharmonics: The exploration of why things sound the way they do to some and not others.
- Empirical: 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.
- Pretty Pictures that represent scales in one way or another.
- Musical notation: Pretty pictures for the purpose of writing music down.
- Nominal-Accidental Chains: The most common approach to notation
- The notion of a Scalesmith who builds scales, with various methods, perhaps for single occasions.
- Mathematically based scales
- Acoustically-based scales (resonant frequencies of performance space, for example)
- Scale transformation and stretching
- Counter-intuitive, random, arbitrary scales