Utilize este identificador para referenciar este registo: http://hdl.handle.net/10400.22/1269
Título: Dynamical analysis of compositions
Autor: Costa, António Cardoso
Machado, J. A. Tenreiro
Lima, Miguel
Palavras-chave: Dynamics
Musical compositions
Multidimensional scaling
Data: 2011
Editora: Springer
Relatório da Série N.º: Nonlinear Dynamics; Vol. 65, Issue 4
Resumo: This paper analyzes musical opus from the point of view of two mathematical tools, namely the entropy and the multidimensional scaling (MDS). The Fourier analysis reveals a fractional dynamics, but the time rhythm variations are diluted along the spectrum. The combination of time-window entropy and MDS copes with the time characteristics and is well suited to treat a large volume of data. The experiments focus on a large number of compositions classified along three sets of musical styles, namely “Classical”, “Jazz”, and “Pop & Rock” compositions. Without lack of generality, the present study describes the application of the tools and the sets of musical compositions in a methodology leading to clear conclusions, but extensions to other possibilities are straightforward. The results reveal significant differences in the musical styles, demonstrating the feasibility of the proposed strategy and motivating further developments toward a dynamical analysis of musical compositions.
Peer review: yes
URI: http://hdl.handle.net/10400.22/1269
ISSN: 0924-090X
Versão do Editor: http://link.springer.com/article/10.1007%2Fs11071-010-9900-6
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