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DY: Fachverband Dynamik und Statistische Physik

DY 32: Posters DY - Statistical Physics, Brownian Motion and Nonlinear Dynamics

DY 32.3: Poster

Tuesday, March 23, 2021, 16:30–19:00, DYp

Long-range correlations in musical time-series? — •Corentin Nelias and Theo Geisel — MPI for Dynamics and Self-Organization, Goettingen, Germany

Musical pitch time-series seem to present long-range correlations reflected in 1/f-type power-spectral densities. The existence, nature, and shape of these correlations have remained unclear as conflicting results were reported in the literature. The present work is clarifying the existing controversy by a careful analysis of power-spectral densities on a corpus 256 compositions and improvised pieces. Generally we do find 1/f-type spectra, but they show up on limited spectral scales only, corresponding to time scales typically up to a few musical bars.