A simple experiment demonstrating the connection between chaos and music

TL;DR

This paper explores the relationship between chaos and music by analyzing dripping faucet patterns through spectral density matching, demonstrating the presence of a power law characteristic of nonlinear chaotic systems.

Contribution

It introduces a simple experimental method linking chaos theory with musical analysis by matching power spectral densities of dripping patterns to a known power law.

Findings

Dripping faucet signals follow a 1/f^β power law

Spectral analysis reveals nonlinear chaotic behavior

Method demonstrates connection between chaos and musical signals

Abstract

In this pedagogical paper we study the dripping pattern of a leaking faucet which we analyse on the basis of a musical procedure which we outline and match the power spectral density of these drops (which are recorded as noise signals over time) to verify the $\frac{1}{f^{\beta}}$ power law which characterizes the nature of such systems with non linear characteristics.