Modeling complexity in musical rhythm

Authors

  • Cheng-Yuan Liou,

    Corresponding author
    1. Department of Computer Science and Information Engineering, National Taiwan University, Taipei, Taiwan 106, Republic of China
    • Department of Computer Science and Information Engineering, National Taiwan University, Taipei, Taiwan 106, Republic of China
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  • Tai-Hei Wu,

    1. Department of Computer Science and Information Engineering, National Taiwan University, Taipei, Taiwan 106, Republic of China
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  • Chia-Ying Lee

    1. Department of Computer Science and Information Engineering, National Taiwan University, Taipei, Taiwan 106, Republic of China
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Abstract

This article 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. © 2009 Wiley Periodicals, Inc. Complexity, 2010

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