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Entropy 2016, 18(7), 258; doi:10.3390/e18070258

Structures in Sound: Analysis of Classical Music Using the Information Length

1
Chemistry Department, University of Massachusetts Boston, Boston, MA 02125, USA
2
School of Mathematics and Statistics, University of Sheffield, Sheffield S3 7RH, UK
*
Author to whom correspondence should be addressed.
Academic Editor: Takuya Yamano
Received: 29 April 2016 / Revised: 24 June 2016 / Accepted: 7 July 2016 / Published: 13 July 2016
(This article belongs to the Special Issue Applications of Fisher Information in Sciences)
View Full-Text   |   Download PDF [3612 KB, uploaded 13 July 2016]   |  

Abstract

We show that music is represented by fluctuations away from the minimum path through statistical space. Our key idea is to envision music as the evolution of a non-equilibrium system and to construct probability distribution functions (PDFs) from musical instrument digital interface (MIDI) files of classical compositions. Classical music is then viewed through the lens of generalized position and velocity, based on the Fisher metric. Through these statistical tools we discuss a way to quantitatively discriminate between music and noise. View Full-Text
Keywords: fisher information; non-equilibrium; information geometry fisher information; non-equilibrium; information geometry
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This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).

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Nicholson, S.; Kim, E.-J. Structures in Sound: Analysis of Classical Music Using the Information Length. Entropy 2016, 18, 258.

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