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arXiv · 1208.4774

The Torii of phases

Emmanuel Amiot
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Abstract

The import of the magnitude of fourier coefficients of a pitch class set is fairly well known. This paper deals with the angular component of these compelx numbers, the phase. It enables to shed new light on triads, the Tonnetz, and continuous gestures between diverse pc-sets, even those with different cardinalities.

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Emmanuel Amiot. 2012-08-23. The Torii of phases. https://arxiv.org/abs/1208.4774

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