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