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

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

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...

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Bibliographic Details
Main Authors: Schuyler Nicholson, Eun-jin Kim
Format: Article
Language:English
Published: MDPI AG 2016-07-01
Series:Entropy
Subjects:
fisher information
non-equilibrium
information geometry
Online Access:http://www.mdpi.com/1099-4300/18/7/258
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spelling doaj-603f8af04e894fa8b4d7d015106ec7382020-11-24T23:59:44ZengMDPI AGEntropy1099-43002016-07-0118725810.3390/e18070258e18070258Structures in Sound: Analysis of Classical Music Using the Information LengthSchuyler Nicholson0Eun-jin Kim1Chemistry Department, University of Massachusetts Boston, Boston, MA 02125, USASchool of Mathematics and Statistics, University of Sheffield, Sheffield S3 7RH, UKWe 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.http://www.mdpi.com/1099-4300/18/7/258fisher informationnon-equilibriuminformation geometry
collection DOAJ
language English
format Article
sources DOAJ
author Schuyler Nicholson
Eun-jin Kim
spellingShingle Schuyler Nicholson
Eun-jin Kim
Structures in Sound: Analysis of Classical Music Using the Information Length
Entropy
fisher information
non-equilibrium
information geometry
author_facet Schuyler Nicholson
Eun-jin Kim
author_sort Schuyler Nicholson
title Structures in Sound: Analysis of Classical Music Using the Information Length
title_short Structures in Sound: Analysis of Classical Music Using the Information Length
title_full Structures in Sound: Analysis of Classical Music Using the Information Length
title_fullStr Structures in Sound: Analysis of Classical Music Using the Information Length
title_full_unstemmed Structures in Sound: Analysis of Classical Music Using the Information Length
title_sort structures in sound: analysis of classical music using the information length
publisher MDPI AG
series Entropy
issn 1099-4300
publishDate 2016-07-01
description 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.
topic fisher information
non-equilibrium
information geometry
url http://www.mdpi.com/1099-4300/18/7/258
work_keys_str_mv AT schuylernicholson structuresinsoundanalysisofclassicalmusicusingtheinformationlength
AT eunjinkim structuresinsoundanalysisofclassicalmusicusingtheinformationlength
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