A graph-theoretical approach for pattern matching in post-tonal music analysis

Abstract

A graph-theoretical approach is proposed to facilitate pattern matching in post-tonal music analysis with pitch-class set theory, in which music perception is taken into account by incorporating stream segregation – a model of the perceptual organization of music. A piece of music is modelled as a graph, with each musical note presented as a vertex and the relationship between a pair of musical notes as an edge. The relationship is determined by stream segregation. According to the proposed matching conditions, searching for a musical pattern is equivalent to searching for a special subgraph called a maximal matched CRP subgraph. The comparisons are made between the patterns identified by the graph-theoretical approach and those by the musicologists.

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