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- Diatonic set theory

Generic and specific intervals

In diatonic set theory a generic interval is the number of scale steps between notes of a collection or scale. The largest generic interval is one less than the number of scale members. (Johnson 2003,

Bisector (music)

In diatonic set theory, a bisector divides the octave approximately in half (the equal tempered tritone is exactly half the octave) and may be used in place of a generator to derive collections for wh

Diatonic scale

In music theory, a diatonic scale is any heptatonic scale that includes five whole steps (whole tones) and two half steps (semitones) in each octave, in which the two half steps are separated from eac

Harmonic major scale

In music theory, the harmonic major scale is a musical scale found in some music from the common practice era and now used occasionally, most often in jazz. In George Russell's Lydian Chromatic Concep

Ionian mode

Ionian mode is a musical mode or, in modern usage, a diatonic scale also called the major scale. It is the name assigned by Heinrich Glarean in 1547 to his new authentic mode on C (mode 11 in his numb

Structure implies multiplicity

In diatonic set theory structure implies multiplicity is a quality of a collection or scale. This is that for the interval series formed by the shortest distance around a diatonic circle of fifths bet

Generated collection

In diatonic set theory, a generated collection is a collection or scale formed by repeatedly adding a constant interval in integer notation, the generator, also known as an interval cycle, around the

Diatonic set theory

Diatonic set theory is a subdivision or application of musical set theory which applies the techniques and analysis of discrete mathematics to properties of the diatonic collection such as maximal eve

Cardinality equals variety

The musical operation of scalar transposition shifts every note in a melody by the same number of scale steps. The musical operation of chromatic transposition shifts every note in a melody by the sam

Common tone (scale)

In music, a common tone is a pitch class that is a member of, or common to (shared by) two or more scales or sets.

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