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Method Of And Apparatus For Computer-Aided Generation Of Variations Of A Sequence Of Symbols, Such As A Musical Piece, And Other Data, Character Or Image Sequences, Diana Dabby
Diana Dabby
A procedure for generating different variations of a sequence of symbols, such as a musical piece, based on the properties of a chaotic system--most notably, sensitive dependence on the initial condition--is described and demonstrated. This method preferably uses a fourth order Runge-Kutta implementation of a chaotic system. Bach's Prelude in C Major from the Well-Tempered Clavier, Book I serves as the illustrative example since it is well-known and easily accessible. Variations of the Bach can be heard that are very close to the original while others diverge further. The system is designed for composers who, having created a through-composed work …