# Generation of $1/f$ noise motivated by a model for musical melodies

## TL;DR

This paper introduces a model for generating 1/f noise based on symmetry-breaking fluctuations in musical pitch, linking physical principles to musical melody creation.

## Contribution

It proposes a novel physical model for 1/f noise generation inspired by musical melody dynamics and symmetry-breaking concepts.

## Key findings

- The model successfully reproduces 1/f noise spectra.
- Fluctuations in pitch are modeled as symmetry-restoring interactions.
- The approach connects physical noise models with musical structure.

## Abstract

We present a model to generate power spectrum noise with intensity proportional to 1/f as a function of frequency f. The model arises from a broken-symmetry variable which corresponds to absolute pitch, where fluctuations occur in an attempt to restore that symmetry, influenced by interactions in the creation of musical melodies.