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Entropy-based Tuning of Musical Instruments

Classical Physics 2012-04-10 v2 Sound Popular Physics

Abstract

The human sense of hearing perceives a combination of sounds 'in tune' if the corresponding harmonic spectra are correlated, meaning that the neuronal excitation pattern in the inner ear exhibits some kind of order. Based on this observation it is suggested that musical instruments such as pianos can be tuned by minimizing the Shannon entropy of suitably preprocessed Fourier spectra. This method reproduces not only the correct stretch curve but also similar pitch fluctuations as in the case of high-quality aural tuning.

Keywords

Cite

@article{arxiv.1203.5101,
  title  = {Entropy-based Tuning of Musical Instruments},
  author = {Haye Hinrichsen},
  journal= {arXiv preprint arXiv:1203.5101},
  year   = {2012}
}

Comments

13 pages, 9 figures

R2 v1 2026-06-21T20:38:39.045Z