Extended counterpoint symmetries and continuous counterpoint
arXiv:1502.06914 · doi:10.1007/978-3-319-47337-6_1
Abstract
A counterpoint theory for the whole continuum of the octave is obtained from Mazzola's model via extended counterpoint symmetries, and some of its properties are discussed.
I exposed the content of this paper as a part of the plenary talk I delivered at the International Congress on Music and Mathematics, Puerto Vallarta, Mexico, November 26-29, 2014, and it is intended to be published in the congress proceedings