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Mathematics is a far reaching discipline and its tools appear in manyapplications. In this paper we discuss its role in music and signal processingby revisiting the use of mathematics in algorithms that can extract chordinformation from recorded music. We begin with a light introduction to thetheory of music and motivate the use of Fourier analysis in audio processing.We introduce the discrete and continuous Fourier transforms and investigatetheir use in extracting important information from audio data.

On the Mathematics of Music: From Chords to Fourier Analysis