Geodesic
Combinatorial enumeration of ragas (scales of integer sequences) of Indian music
Journal of integer sequences, Tome 5 (2002) no. 2.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: 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.
Keywords: indian carnatic music, combinatorics, ragas, music scales 
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     author = {Balasubramanian, K.},
     title = {Combinatorial enumeration of ragas (scales of integer sequences) of {Indian} music},
     journal = {Journal of integer sequences},
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     number = {2},
     year = {2002},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JIS_2002__5_2_a3/}
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Balasubramanian, K. Combinatorial enumeration of ragas (scales of integer sequences) of Indian music. Journal of integer sequences, Tome 5 (2002) no. 2. http://geodesic.mathdoc.fr/item/JIS_2002__5_2_a3/