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Main intervals from C. In Western music theory, an interval is named according to its number (also called diatonic number, interval size [6] or generic interval [7]) and quality. For instance, major third (or M3) is an interval name, in which the term major (M) describes the quality of the interval, and third (3) indicates its number.
Transformational theory is a branch of music theory developed by David Lewin in the 1980s, and formally introduced in his 1987 work, Generalized Musical Intervals and Transformations. The theory, which models musical transformations as elements of a mathematical group , can be used to analyze both tonal and atonal music .
See Music of Mesopotamia § Music theory.) It is named, and has been widely misattributed, to Ancient Greeks , notably Pythagoras (sixth century BC) by modern authors of music theory. Ptolemy , and later Boethius , ascribed the division of the tetrachord by only two intervals, called "semitonium" and "tonus" in Latin (256:243 × 9:8 × 9:8), to ...
Music written using tone-clock theory features a high economy of musical intervals within a generally chromatic musical language. This is because tone-clock theory encourages the composer to generate all their harmonic and melodic material from a limited number of intervallic configurations (called "intervallic prime forms", or IPFs, in tone ...
List of musical intervals may refer to: Interval (music)#Main intervals as abstract relations between notes in western music theory. List of pitch intervals as frequency ratios in intonation and tuning of musical instruments and performances.
Intervals Integer notation # of pitch classes Lower tetrachord Upper tetrachord Use of key signature usual or unusual 15 equal temperament: 15-tet scale on C. Play ⓘ — — — 15 — — — 16 equal temperament: 16-tet scale on C. Play ⓘ — — — 16 — — 17 equal temperament: 17-tet scale on C. Play ⓘ — — — 17 — — 19 ...
Below is a list of intervals expressible in terms of a prime limit (see Terminology), completed by a choice of intervals in various equal subdivisions of the octave or of other intervals. For commonly encountered harmonic or melodic intervals between pairs of notes in contemporary Western music theory , without consideration of the way in which ...
In music theory, the tritone is defined as a musical interval spanning three adjacent whole tones (six semitones). [1] For instance, the interval from F up to the B above it (in short, F–B) is a tritone as it can be decomposed into the three adjacent whole tones F–G, G–A, and A–B.