Emergence and Complexity in Music

How can we apply mathematical notions of complexity and emergence to music, and how can these mathematical ideas then inspire new musical works? Using Steve Reich's Clapping Music as a starting point, we look for emergent patterns in music by considering cases where a piece's complexity is...

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Main Author:	Tucker, Zoe
Format:	Others
Published:	Scholarship @ Claremont 2017
Subjects:	music complexity mathematics rhythm Other Mathematics
Online Access:	http://scholarship.claremont.edu/hmc_theses/101 http://scholarship.claremont.edu/cgi/viewcontent.cgi?article=1104&context=hmc_theses

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spelling	ndltd-CLAREMONT-oai-scholarship.claremont.edu-hmc_theses-11042017-06-15T03:34:32Z Emergence and Complexity in Music Tucker, Zoe How can we apply mathematical notions of complexity and emergence to music, and how can these mathematical ideas then inspire new musical works? Using Steve Reich's Clapping Music as a starting point, we look for emergent patterns in music by considering cases where a piece's complexity is significantly different from the total complexity of each of the individual parts. Definitions of complexity inspired by information theory, data compression, and musical practice are considered. We also consider the number of distinct musical pieces that could be composed in the same manner as Clapping Music. Finally, we present a new musical compositions to demonstrate some of these ideas. 2017-01-01T08:00:00Z text application/pdf http://scholarship.claremont.edu/hmc_theses/101 http://scholarship.claremont.edu/cgi/viewcontent.cgi?article=1104&context=hmc_theses © 2017 Zoe Tucker http://creativecommons.org/licenses/by-nc/4.0/ HMC Senior Theses Scholarship @ Claremont music complexity mathematics rhythm Other Mathematics
collection	NDLTD
format	Others
sources	NDLTD
topic	music complexity mathematics rhythm Other Mathematics
spellingShingle	music complexity mathematics rhythm Other Mathematics Tucker, Zoe Emergence and Complexity in Music
description	How can we apply mathematical notions of complexity and emergence to music, and how can these mathematical ideas then inspire new musical works? Using Steve Reich's Clapping Music as a starting point, we look for emergent patterns in music by considering cases where a piece's complexity is significantly different from the total complexity of each of the individual parts. Definitions of complexity inspired by information theory, data compression, and musical practice are considered. We also consider the number of distinct musical pieces that could be composed in the same manner as Clapping Music. Finally, we present a new musical compositions to demonstrate some of these ideas.
author	Tucker, Zoe
author_facet	Tucker, Zoe
author_sort	Tucker, Zoe
title	Emergence and Complexity in Music
title_short	Emergence and Complexity in Music
title_full	Emergence and Complexity in Music
title_fullStr	Emergence and Complexity in Music
title_full_unstemmed	Emergence and Complexity in Music
title_sort	emergence and complexity in music
publisher	Scholarship @ Claremont
publishDate	2017
url	http://scholarship.claremont.edu/hmc_theses/101 http://scholarship.claremont.edu/cgi/viewcontent.cgi?article=1104&context=hmc_theses
work_keys_str_mv	AT tuckerzoe emergenceandcomplexityinmusic
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Emergence and Complexity in Music

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