Rhythmic Analyses
Mathematics
The
mathematics that we employ is to perform continuous Gabor wavelet
transforms of pulse trains. Continuous Gabor wavelet transforms
are described in detail in the following article (see especially
section 4, pp. 466-474): Time-frequency analysis of musical instruments. Their application to pulse trains and the description of rhythm is described in the following: Book extract (PDF) (pp. 237-241), which is an extract from the book, A Primer on Wavelets and Their Scientific Applications.
Musical Examples
Six Percussion
Passages