This article introduces a type of harmonic geometry, Fourier phase space, and uses it to
advance the understanding of Schubert's tonal language and comment upon current topics …

The discrete Fourier transform on pitch-class sets, proposed by David Lewin and advanced
by Ian Quinn, may provide a new lease on life for Allen Forte's idea of a general theory of …

Music theorists have proposed two very different geometric models of musical objects, one
based on voice leading and the other based on the Fourier transform. On the surface these …

Filtered Point-Symmetry (FiPS) is a tool for modeling relationships between iterated
maximally even sets. Common musical relationships can be studied by using FiPS to model …

This paper studies the “integration” problem of nineteenth-century harmony—the question
whether the novel chromatic chord transitions in this time are a radical break from or a …

Schubert's song Ganymed has attracted a great deal of interest from analysts on account of
its progressive tonal plan, which is often seen as a challenge to Schenkerian theories of …

Maximal evenness was first introduced in the music theory domain by John Clough and Jack
Douthett. Later, the concept was explored by others such as Dmitri Tymoczko and Richard …

Music theorists have proposed two very different geometric models of musical objects, one
based on voice leading and the other based on the Fourier transform. On the surface these …

Mathematical approaches to scale degrees and harmonic functions in analytical dialogue Page
1 Boston University OpenBU http://open.bu.edu School of Music BU Open Access Articles …

A recent special issue of the Journal of Mathematics and Music on mathematical theories of
voice leading focused on the intersections of geometrical voice-leading spaces (GVLS) …