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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.
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 ...
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 ...
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 ...
The concept of "mode" in Western music theory has three successive stages: in Gregorian chant theory, in Renaissance polyphonic theory, and in tonal harmonic music of the common practice period. In all three contexts, "mode" incorporates the idea of the diatonic scale , but differs from it by also involving an element of melody type .
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.
Interval class Play ⓘ.. In musical set theory, an interval class (often abbreviated: ic), also known as unordered pitch-class interval, interval distance, undirected interval, or "(even completely incorrectly) as 'interval mod 6'" (Rahn 1980, 29; Whittall 2008, 273–74), is the shortest distance in pitch class space between two unordered pitch classes.
In music, just intonation or pure intonation is the tuning of musical intervals as whole number ratios (such as 3:2 or 4:3) of frequencies. An interval tuned in this way is said to be pure, and is called a just interval. Just intervals (and chords created by combining them) consist of tones from a single harmonic series of an implied ...