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Prof Markus Müller from Center for Science of Complex Systems, UNAM (Mexico) visits MIB and gives talk titled: Multiple scaling behaviour and nonlinear traits in music scores
07.05.2019 |
| Dato | man 20 maj |
| Tid | 13:30 — 14:30 |
| Sted | Meeting 4th floor, DNC Building 10G, Nørrebrogade 44, Aarhus |
TITLE:
Multiple scaling behaviour and nonlinear traits in music scores
ABSTRACT:
We present a statistical analysis of music scores from different composers using detrended fluctuation analysis (DFA). We find different fluctuation profiles that correspond to distinct autocorrelation structures of the musical pieces. Further, we reveal evidence for the presence of nonlinear autocorrelations by estimating the DFA of the magnitude series, a result validated by a corresponding study of appropriate surrogate data. The amount and the character of nonlinear correlations vary from one composer to another. Finally, we performed a simple experiment in order to evaluate the pleasantness of the musical surrogate pieces in comparison with the original music and find that nonlinear correlations could play an important role in the aesthetic perception of a musical piece.