Journal of Integer Sequences, Vol. 5 (2002), Article 02.2.6

Combinatorial enumeration of ragas (scales of integer sequences) of Indian music


K. Balasubramanian
Department of Applied Science
University of California, Davis
L-794 Livermore, CA 94550
USA

Abstract: It is shown that a combinatorial method based on the principle of inclusion and exclusion (Sieve formula) yields generating functions for the enumeration of integer sequences chosen from 12 musical tones for the ragas (scales) of the Indian music system. Mathematical and computational schemes are presented for the enumeration and construction of integer sequences pertinent to Indian music.

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Received August 28, 2002; revised version received December 9, 2002. Published in Journal of Integer Sequences December 9, 2002.

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