Communications for Statistical Applications and Methods

The Korean Statistical Society (한국통계학회)
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Circular Statistics in Musicology

  • Lee, Jeong-Ran (Department of Statistics, Seoul National University) ;
  • Oh, Hee-Seok (Department of Statistics, Seoul National University)
  • Published : 2008.03.30
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Abstract

An essential aspect of music is structure. Beran (2004) introduced a method of comparing piano plays via circular statistics based on the fact that there is circular structure in music. We expand the application of this method to a pair of two pop songs and discuss the possibility of applying it to detecting musical plagiarism. Circular statistics provides an objective view point comparing the musical works.

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References

  1. Beran, J. (2004). Statistics in Musicology. Champman & Hall/CRC, New York
  2. Chambers, J. M., Cleveland, W. S., Kleiner, B. and Tukey, P. A. (1983). Graphical Methods for Data Analysis. Duxbury Press, Boston
  3. Fisher, N. I. (1993). Statistical Analysis of Circular Data. Cambridge University Press, Cambridge
  4. Jammalamadaka, S. R. and SenGupta, A. (2001). Topics in Circular Statistics. World Scientific Publishing Company, New Jersey
  5. Mardia, K. V. (1972). Statistics of Directional Data. Academic Press, London