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Circular Statistics in Musicology

Lee, Jeong-Ran;Oh, Hee-Seok

  • Published : 2008.03.30

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.

Keywords

Circular statistics;statistics in musicology

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