Finite Field Linear Algebra for Composition

Composed in 2016, this piece is intended as a demonstration of how tone rows can be treated as elements of a vector space based on an integer field; essentially, applying concepts from abstract and linear algebra to music. In the case of this composition, we consider an isomorphism between Z7 and Eb lydian, and utilize vector and matrix multiplication in a 4-dimensional vector space based on Z7 to compose a surprisingly tonal work.

Price: $15.00

Score Excerpt