Research Article
Composing Music with Complex Networks
@INPROCEEDINGS{10.1007/978-3-642-02469-6_95, author={Xiaofan Liu and Chi Tse and Michael Small}, title={Composing Music with Complex Networks}, proceedings={Complex Sciences. First International Conference, Complex 2009, Shanghai, China, February 23-25, 2009, Revised Papers, Part 2}, proceedings_a={COMPLEX PART 2}, year={2012}, month={5}, keywords={}, doi={10.1007/978-3-642-02469-6_95} }- Xiaofan Liu
Chi Tse
Michael Small
Year: 2012
Composing Music with Complex Networks
COMPLEX PART 2
Springer
DOI: 10.1007/978-3-642-02469-6_95
Abstract
In this paper we study the network structure in music and attempt to compose music artificially. Networks are constructed with nodes and edges corresponding to musical notes and their co-occurrences. We analyze sample compositions from Bach, Mozart, Chopin, as well as other types of music including Chinese pop music. We observe remarkably similar properties in all networks constructed from the selected compositions. Power-law exponents of degree distributions, mean degrees, clustering coefficients, mean geodesic distances, etc. are reported. With the network constructed, music can be created by using a biased random walk algorithm, which begins with a randomly chosen note and selects the subsequent notes according to a simple set of rules that compares the weights of the edges, weights of the nodes, and/or the degrees of nodes. The newly created music from complex networks will be played in the presentation.
