Implementing algebraic methods in OpenMusic.

Abstract

In this paper we present the main ideas of the algebraic approach in the field of the representation of musical structures. In this perspective, well-known theories, as American Pitch-Class Set Theory, can be considered as a special case of the mathematical concept of group action. We show how the change of the group acting on a basic set enables to have different catalogues of musical structures, as well in the pitch as in the rhythmic domain. The OpenMusic implementation of these concepts offers to computational musicology the possibility to approach music analysis with a more firmly established theoretical background and at the same time it leads to new interesting compositional applications.

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