Form as meter: metric forms through Fourier space
Chiu, Matthew Ga-Yan
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The Discrete Fourier Transform, which was initially mentioned in the music theory domain by David Lewin, is an analytical tool developed by Ian Quinn, and later expanded by theorists such as Jason Yust, William Sethares, and Andrew Milne. Though it was originally designed for pitch-class spaces, Emmanuel Amiot has explored the DFT’s implementation into the rhythmic domain, and has recently used it to unravel mathematical problems in music. An explanation of the DFT model will be made available here to a reader requiring only fundamental arithmetic. Throughout this thesis, I intend to explore the DFT in the music of various composers to demonstrate applicability, and will argue for a metric conception of form.
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