Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

Fractal and Complex Patterns Existing in Music: Application to the Composition Diaphonies of Michael Paouris

Version 1 : Received: 29 April 2024 / Approved: 30 April 2024 / Online: 30 April 2024 (14:30:21 CEST)

How to cite: Nikolopoulos, D.; Petraki, E. Fractal and Complex Patterns Existing in Music: Application to the Composition Diaphonies of Michael Paouris. Preprints 2024, 2024041990. https://doi.org/10.20944/preprints202404.1990.v1 Nikolopoulos, D.; Petraki, E. Fractal and Complex Patterns Existing in Music: Application to the Composition Diaphonies of Michael Paouris. Preprints 2024, 2024041990. https://doi.org/10.20944/preprints202404.1990.v1

Abstract

This is a study on fractals existing in music. The application case is the composition DIAPHONIES of Michael Paouris. Sliding-window fractal analysis indicate areas of continuous fractality dipped in non-fractal areas of possibly deterministic and stochastic nature. Diverging cases of pronounced non-fractal areas are addressed and also areas of mixed fractality and non-fractality. Many segments exhibit persistency-P (2

Keywords

fractal; power-law; complexity; deterministic-fractal music

Subject

Physical Sciences, Mathematical Physics

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