Category: 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.