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On the Mathematics of Music: From Chords to Fourier Analysis

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arxiv 1306.2859 v1 pith:JBO6SUVF submitted 2013-06-11 math.HO cs.SD

On the Mathematics of Music: From Chords to Fourier Analysis

classification math.HO cs.SD
keywords musicfouriermathematicsanalysisaudioinformationprocessingalgorithms
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Mathematics is a far reaching discipline and its tools appear in many applications. In this paper we discuss its role in music and signal processing by revisiting the use of mathematics in algorithms that can extract chord information from recorded music. We begin with a light introduction to the theory of music and motivate the use of Fourier analysis in audio processing. We introduce the discrete and continuous Fourier transforms and investigate their use in extracting important information from audio data.

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