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Advances in Complex Systems, Vol. 9, Nos. 1&2 (2006) 121132 c World Scientific Publishing Company
 

Summary: Advances in Complex Systems, Vol. 9, Nos. 1&2 (2006) 121132
c World Scientific Publishing Company
RECURRING HARMONIC WALKS AND NETWORK MOTIFS
IN WESTERN MUSIC
SHALEV ITZKOVITZ, RON MILO, NADAV KASHTAN, REUVEN LEVITT,
AMIR LAHAV, and URI ALON
Departments of Molecular Cell Biology and Physics of Complex Systems,
Weizmann Institute of Science, Rehovot 76100, Israel
The Music Mind and Motion Lab, Sargent College of Health and Rehabilitation
Sciences, Boston University, Boston, MA 02215, USA
Department of Neurology, Beth Israel Deaconess Medical Center and
Harvard Medical School, Boston, MA 02215, USA
Received 23 March 2006
Western harmony is comprised of sequences of chords, which obey grammatical rules.
It is of interest to develop a compact representation of the harmonic movement of
chord sequences. Here, we apply an approach from analysis of complex networks, known
as "network motifs" to define repeating dynamical patterns in musical harmony. We
describe each piece as a graph, where the nodes are chords and the directed edges con-
nect chords which occur consecutively in the piece. We detect several patterns, each of
which is a walk on this graph, which recur in diverse musical pieces from the Baroque

  

Source: Alon, Uri - Departments of Molecular Cell Biology & Physics of Complex Systems, Weizmann Institute of Science

 

Collections: Biology and Medicine