English

The Torii of phases

History and Overview 2015-03-20 v1

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.

Cite

@article{arxiv.1208.4774,
  title  = {The Torii of phases},
  author = {Emmanuel Amiot},
  journal= {arXiv preprint arXiv:1208.4774},
  year   = {2015}
}
R2 v1 2026-06-21T21:54:30.034Z