TY - GEN
T1 - Composing music with complex networks
AU - Liu, Xiaofan
AU - Tse, Chi K.
AU - Small, Michael
PY - 2009/2
Y1 - 2009/2
N2 - 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. © 2009 ICST Institute for Computer Sciences, Social Informatics and Telecommunications Engineering.
AB - 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. © 2009 ICST Institute for Computer Sciences, Social Informatics and Telecommunications Engineering.
KW - Complex Network
KW - Degree Distribution
KW - Scale Free Network
KW - Node Weight
KW - Musical Note
UR - http://www.scopus.com/inward/record.url?scp=84885893637&partnerID=8YFLogxK
UR - https://www.scopus.com/record/pubmetrics.uri?eid=2-s2.0-84885893637&origin=recordpage
U2 - 10.1007/978-3-642-02469-6_95
DO - 10.1007/978-3-642-02469-6_95
M3 - RGC 32 - Refereed conference paper (with host publication)
SN - 9783642024689
T3 - Lecture Notes of the Institute for Computer Sciences, Social-Informatics and Telecommunications Engineering
SP - 2196
EP - 2205
BT - Complex Sciences
A2 - Zhou, Jie
PB - Springer Berlin Heidelberg
T2 - 1st International Conference on Complex Sciences: Theory and Applications (Complex 2009)
Y2 - 23 February 2009 through 25 February 2009
ER -