A Quantitative Study of Local Variation Regularities on the Base of Russian, French, and American Folk Songs

Irina V. Bakhmutova
Vladimir D. Gusev
Lubov A. Nemytikova

Institute of Mathematics, Siberian Branch of Russian Academy of Sciences
Russia, Novosibirsk


The general approach to obtaining the quantitative characteristics of the local variation in music texts is described. The approach was tested on a set of the Russian, French, and American folk songs. The general and national specific features of the local variation are revealed. The results obtained can be used to estimate weights of edit operations in the musically oriented measures of closeness, for the classification (by the style, genre, composer etc.) as well as for the computer composition of melodic variations.

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