Group Theory for Pitch Sequence Representation: From the Obvious to the Emergent Complexity

Abstract

In the first two sections of this contribution we construct the groups in order to have an intuitive way to represent musical phrases by their melodic contour. Later we derive an algorithm for composing music using a given number and the group. Finally we offer a variation of the same algorithm to be able to translate a piece of music in a finite digit number, with analytic and deconstructive aims.