Linear Computer-Music through Sequences over Galois Fields

TL;DR

This paper explores the use of finite field sequences for automatic composition of monophonic electronic music, including novel methods and compositions derived from image data and multilevel block-codes over various Galois fields.

Contribution

It introduces a new approach to e-music composition using finite field structures and multilevel block-codes, creating unique musical styles from image and code data.

Findings

Generated new compositions from Lenna's image.

Applied Galois fields GF(7), GF(8), GF(13), GF(17) in music creation.

Developed a style of electronic music using Pascal multilevel block codes.

Abstract

It is shown how binary sequences can be associated with automatic composition of monophonic pieces. We are concerned with the composition of e-music from finite field structures. The information at the input may be either random or information from a black-and-white, grayscale or color picture. New e-compositions and music score are made available, including a new piece from the famous Lenna picture: the score of the e-music <<Between Lenna's eyes in C major.>> The corresponding stretch of music score are presented. Some particular structures, including clock arithmetic (mod 12), GF(7), GF(8), GF(13) and GF(17) are addressed. Further, multilevel block-codes are also used in a new approach of e-music composition, engendering a particular style as an e-composer. As an example, Pascal multilevel block codes recently introduced are handled to generate a new style of electronic music over GF(13).