caa a22 4500 445361344 CHVBK 20180317142916.0 cr unu---uuuuu 170323e20110901xx s 000 0 eng 10.1007/s11071-010-9900-6 doi (NATIONALLICENCE)springer-10.1007/s11071-010-9900-6 Dynamical analysis of compositions [Elektronische Daten] [J. TenreiroMachado, António Costa, Miguel Lima] 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. Springer Science+Business Media B.V., 2010 Dynamics nationallicence Musical compositions nationallicence Fractional dynamics nationallicence Entropy nationallicence Multidimensional scaling nationallicence TenreiroMachado J. Dept. of Electrical Engineering, Institute of Engineering of Porto, Rua Dr. António Bernardino de Almeida, 431, 4200-072, Porto, Portugal aut Costa António Dept. of Informatics Engineering, Institute of Engineering of Porto, Rua Dr. António Bernardino de Almeida, 431, 4200-072, Porto, Portugal aut Lima Miguel Dept. of Electrical Engineering, School of Technology of Viseu, Campus Politécnico de Repeses, 3504-510, Viseu, Portugal aut Nonlinear Dynamics Springer Netherlands 65/4(2011-09-01), 399-412 0924-090X 65:4<399 2011 65 11071 https://doi.org/10.1007/s11071-010-9900-6 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s11071-010-9900-6 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- TenreiroMachado J. Dept. of Electrical Engineering, Institute of Engineering of Porto, Rua Dr. António Bernardino de Almeida, 431, 4200-072, Porto, Portugal aut NATIONALLICENCE 700 1- Costa António Dept. of Informatics Engineering, Institute of Engineering of Porto, Rua Dr. António Bernardino de Almeida, 431, 4200-072, Porto, Portugal aut NATIONALLICENCE 700 1- Lima Miguel Dept. of Electrical Engineering, School of Technology of Viseu, Campus Politécnico de Repeses, 3504-510, Viseu, Portugal aut NATIONALLICENCE 773 0- Nonlinear Dynamics Springer Netherlands 65/4(2011-09-01), 399-412 0924-090X 65:4<399 2011 65 11071 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer