An algorithm is proposed for performing harmonic analysis of tonal music. The algorithm begins with a representation of a piece as pitches and durations; it generates a representation in which the ...

Music scholars have been studying tonal harmony intensively for centuries, yielding numerous theories and models. Unfortunately, a large number of these theories are formulated in a rather informal ...

A few years ago, two neuroscientists at the Massachusetts Institute of Technology (MIT) made a friendly bet on whether or not the human brain responded differently to harmonic tones (heard in music ...

Lie groups provide a natural framework for describing continuous symmetries in both mathematics and physics. These groups, which are simultaneously smooth manifolds, allow for the integration of ...