Math & Music: The Perfect Match

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Abstract

Operations research is a field that prides itself in its versatility in the mathematical modeling of complex problems to find optimal or feasible solutions. It should come as no surprise that O.R. has much to offer in terms of solving problems in music composition, analysis and performance. Operations researchers have tackled problems in areas ranging from airline yield management and computational finance, to computational biology and radiation oncology, to computational linguistics, and in eclectic applications such as diet formulation, sports strategies and chicken dominance behavior, so why not music?
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The goal of this article is to provide broader perspectives on the growth and maturation of music and computing as a discipline, resources to learn more about the field, and some ways in which operations research impacts – and can influence – this rapidly expanding field. My objective is to show that music – its analysis, composition and performance – presents rich application areas for O.R. techniques.

Keywords

  • math and music
  • music technology
  • automated music analysis
  • computational music analysis
  • computational music structure analysis
  • computer assisted composition
  • music generation
  • human-machine improvisation
  • music expression synthesis

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