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Music-Based Coefficients for Wavelet Transform: A Contribution to Musical Signals Analysis

Using the octave chromatic division (21-12) and the difference between two tones (22-12 - 21-12), the authors define alpha and beta in Pollen's parametric equations to calculate new wavelet coefficients. First four coefficients were calculated using alpha = 21-12 and beta = 0, then alpha = 21-12 and beta = 22-12 - 21-12 were calculated for the definition of six coefficients. This paper describes the calculations and shows the results yielded in the direct and inverse transform of musical signals.

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