Modeling complexity in musical rhythm

This paper constructs a tree structure for the music rhythm using the L-system. It models the structure as an automata and derives its complexity. It also solves the complexity for the L-system. This complexity can resolve the similarity between trees. This complexity serves as a measure of psychological complexity for rhythms. It resolves the music complexity of various compositions including the Mozart effect K488. Keyword: music perception, psychological complexity, rhythm, L-system, automata, temporal associative memory, inverse problem, rewriting rule, bracketed string, tree similarity the number of text pages of the manuscript 21 the number of figures 13 the number of tables 2 1Correspondence: Department of Computer Science and Information Engineering, National Taiwan University, Taipei, Taiwan, 106, R.O.C., Tel: 8862 23625336 ext 515, Fax: 8862 23628167, email: [email protected]