DocumentCode :
176664
Title :
From view of complex network: Fractal dimension of music notation
Author :
Ningkui Wang ; Daijun Wei
Author_Institution :
Key Lab. of Biologic Resources Protection & Utilization of Hubei Province, Enshi, China
fYear :
2014
fDate :
May 31 2014-June 2 2014
Firstpage :
3647
Lastpage :
3650
Abstract :
Recently, complex system has been considered by complex networks. The fractal and self-similarity properties are revealed in many real complex networks. The visibility graph which can convert a time series into a graph. In this paper, music notation is considered as a time series. And then, the fractal and self-similarity properties of music are revealed using box-covering algorithm of complex networks. The proposed method is applied to calculate the fractal dimensions of some real music. Our results show that the proposed method is efficient to study the fractal and self-similarity properties of music.
Keywords :
graph theory; music; time series; box-covering algorithm; complex network; fractal dimension; music notation; self-similarity property; time series; visibility graph; Bars; Biology; Complex networks; Educational institutions; Fractals; Least squares methods; Time series analysis; Complex networks; Fractal; Music; Visibility graph;
fLanguage :
English
Publisher :
ieee
Conference_Titel :
Control and Decision Conference (2014 CCDC), The 26th Chinese
Conference_Location :
Changsha
Print_ISBN :
978-1-4799-3707-3
Type :
conf
DOI :
10.1109/CCDC.2014.6852813
Filename :
6852813
Link To Document :
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