Matrix (music)

[1] The term was derived from use in musical writings and from Arthur Koestler's The Act of Creation, who defines creativity as the bisociation of two sets of ideas or matrices.

[2] Musical matrices may be combined in any number, usually more than two, and may be — and must be for analysis — broken down into smaller ones.

[1] The simplest examples given by van der Merwe[1] are fixed notes, definite intervals, and regular beats, while the most complex given are the Baroque fugue, Classical tonality, and Romantic chromaticism.

The matrices of the larger matrix known as sonata rondo form are more bound up than the matrices of rondo form, while African and Indian music feature more rhythmic at-oddness than European music's coinciding beats, and European harmony features more at-oddness (between the melody and bass) than the preceding organum.

At-oddness is a matter of degree, and almost all at odd matrices are partially bound up.