Structures in sound: Analysis of classical music using the information length

Schuyler Nicholson; Eun Jin Kim

doi:10.3390/e18070258

Structures in sound: Analysis of classical music using the information length

Schuyler Nicholson, Eun Jin Kim

Research output: Contribution to journal › Article › peer-review

18 Citations (Scopus)

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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.

Original language	English
Article number	258
Journal	Entropy
Volume	18
Issue number	7
DOIs	https://doi.org/10.3390/e18070258
Publication status	Published - 13 Jul 2016
Externally published	Yes

Keywords

Fisher information
Information geometry
Non-equilibrium

ASJC Scopus subject areas

General Physics and Astronomy

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10.3390/e18070258Licence: CC BY

Nicholson_Kim_Structures_in_sound_EntropyFinal published version, 3.53 MBLicence: CC BY

Cite this

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AB - 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.

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Structures in sound: Analysis of classical music using the information length

Abstract

Keywords

ASJC Scopus subject areas

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