Fractal Geometry of Music

Overview

Journal Proc Natl Acad Sci U S A

Specialty Science

Date 1990 Feb 1

PMID 11607061

Citations 16

Authors

K J Hsu

A J Hsu

Affiliations

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Abstract

Music critics have compared Bach's music to the precision of mathematics. What "mathematics" and what "precision" are the questions for a curious scientist. The purpose of this short note is to suggest that the mathematics is, at least in part, Mandelbrot's fractal geometry and the precision is the deviation from a log-log linear plot.

Citing Articles

Fractal Fluency: Processing of Fractal Stimuli Across Sight, Sound, and Touch.

Taylor R, Viengkham C, Smith J, Rowland C, Moslehi S, Stadlober S Adv Neurobiol. 2024; 36:907-934.

PMID: 38468069 DOI: 10.1007/978-3-031-47606-8_45.

From signals to music: a bottom-up approach to the structure of neuronal activity.

Noel G, Mugno L, Andres D Front Syst Neurosci. 2023; 17:1171984.

PMID: 37637704 PMC: 10450627. DOI: 10.3389/fnsys.2023.1171984.

The Science of Harmony: A Psychophysical Basis for Perceptual Tensions and Resolutions in Music.

Chan P, Dong M, Li H Research (Wash D C). 2020; 2019:2369041.

PMID: 32043080 PMC: 7006947. DOI: 10.34133/2019/2369041.

Scaling behaviour in music and cortical dynamics interplay to mediate music listening pleasure.

Teixeira Borges A, Irrmischer M, Brockmeier T, Smit D, Mansvelder H, Linkenkaer-Hansen K Sci Rep. 2019; 9(1):17700.

PMID: 31776389 PMC: 6881362. DOI: 10.1038/s41598-019-54060-x.

Universality and diversity in human song.

Mehr S, Singh M, Knox D, Ketter D, Pickens-Jones D, Atwood S Science. 2019; 366(6468).

PMID: 31753969 PMC: 7001657. DOI: 10.1126/science.aax0868.

References

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