This book is not about harmonics, analysis or synthesis of sound. It deals with harmonic
analysis but in the abstract realm of musical structures: scales, chords, rhythms, etc. It was …

This study examines pitch-class distributions in a large body of tonal music from the
seventeenth, eighteenth and nineteenth centuries using the DFT on pitch-class sets. The …

The music-theoretic idea of a Tonnetz can be generalized at different levels: as a network of
chords relating by maximal intersection, a simplicial complex in which vertices represent …

This analysis of the fourth piece from Debussy's Préludes Book I illustrates typical harmonic
techniques of Debussy as manipulations of harmonic qualities. We quantify harmonic …

Abstract The rhythm of Steve Reich's Clapping Music (1972) features in so many of his
pieces that it can be understood as a rhythmic signature. A theory of rhythmic qualities …

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 …

Pitch-class distributions are central to much of the computational and psychological
research on musical keys. This paper looks at pitch-class distributions through the DFT on …

This article examines macroharmony through the lens of the discrete Fourier transform (DFT)
using computational analysis. It first introduces the DFT, giving an interpretive framework to …

How does the brain represent musical properties? Even with our growing understanding of
the cognitive neuroscience of music, the answer to this question remains unclear. One …

This article investigates the use of octatonic chord progressions at deeper structural levels in
the music of Maurice Ravel. Octatonic chord progressions are successions of triads and …