TY - GEN
T1 - Composing music with complex networks
AU - Liu, Xiaofan
AU - Tse, Chi Kong
AU - Small, Michael
PY - 2009/12/1
Y1 - 2009/12/1
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.
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.
UR - http://www.scopus.com/inward/record.url?scp=84885893637&partnerID=8YFLogxK
U2 - 10.1007/978-3-642-02469-6_95
DO - 10.1007/978-3-642-02469-6_95
M3 - Conference article published in proceeding or book
SN - 3642024688
SN - 9783642024689
T3 - Lecture Notes of the Institute for Computer Sciences, Social-Informatics and Telecommunications Engineering
SP - 2196
EP - 2205
BT - Complex Sciences - First International Conference, Complex 2009, Revised Papers
T2 - 1st International Conference on Complex Sciences: Theory and Applications, Complex 2009
Y2 - 23 February 2009 through 25 February 2009
ER -