Measuring the Invisible: A Process among Arithmetic, Geometry and Music

Detalhes bibliográficos
Autor(a) principal: Saito, Fumikazu
Data de Publicação: 2015
Outros Autores: Bromberg, Carla
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Circumscribere
Texto Completo: https://revistas.pucsp.br/index.php/circumhc/article/view/24000
Resumo: Abstract: The parallel between music and mathematics abounded in sixteenth-century studies. Referring to the concept of proportions, it was then assumed that theorists considered audible and visible proportions to be analogous. However, when approaching the treatises and focusing on how those processes of mensuration took place, we realise that there were differences concerning the very notion of quantifying. In this paper, we would like to identify the roles played by arithmetic and geometry in the musical tradition through the notion of quantification, departing from the definition of the musical interval given by the most important theorist of the sixteenth century, Gioseffo Zarlino, and identifying the core of musical debates within the realm of mathematics. Keywords: Mathematics; Music; Optics; Geometry; Arithmetic; Measuring
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spelling Measuring the Invisible: A Process among Arithmetic, Geometry and MusicAbstract: The parallel between music and mathematics abounded in sixteenth-century studies. Referring to the concept of proportions, it was then assumed that theorists considered audible and visible proportions to be analogous. However, when approaching the treatises and focusing on how those processes of mensuration took place, we realise that there were differences concerning the very notion of quantifying. In this paper, we would like to identify the roles played by arithmetic and geometry in the musical tradition through the notion of quantification, departing from the definition of the musical interval given by the most important theorist of the sixteenth century, Gioseffo Zarlino, and identifying the core of musical debates within the realm of mathematics. Keywords: Mathematics; Music; Optics; Geometry; Arithmetic; MeasuringCentro Simão Mathias de Estudos em História da Ciência2015-12-11info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionHistorical Inquiryapplication/pdfapplication/pdfhttps://revistas.pucsp.br/index.php/circumhc/article/view/24000Circumscribere International Journal for the History of Science; Vol. 16 (2015); 17-37Circumscribere International Journal for the History of Science; v. 16 (2015); 17-371980-7651reponame:Circumscribereinstname:Pontifícia Universidade Católica de São Paulo (PUC-SP)instacron:PUC_SPenghttps://revistas.pucsp.br/index.php/circumhc/article/view/24000/18610https://revistas.pucsp.br/index.php/circumhc/article/view/24000/36150Saito, FumikazuBromberg, Carlainfo:eu-repo/semantics/openAccess2017-10-25T01:12:04Zoai:ojs.pkp.sfu.ca:article/24000Revistahttps://revistas.pucsp.br/index.php/circumhcPRIhttps://revistas.pucsp.br/index.php/circumhc/oai||circumhc@pucsp.br1980-76511980-7651opendoar:2017-10-25T01:12:04Circumscribere - Pontifícia Universidade Católica de São Paulo (PUC-SP)false
dc.title.none.fl_str_mv Measuring the Invisible: A Process among Arithmetic, Geometry and Music
title Measuring the Invisible: A Process among Arithmetic, Geometry and Music
spellingShingle Measuring the Invisible: A Process among Arithmetic, Geometry and Music
Saito, Fumikazu
title_short Measuring the Invisible: A Process among Arithmetic, Geometry and Music
title_full Measuring the Invisible: A Process among Arithmetic, Geometry and Music
title_fullStr Measuring the Invisible: A Process among Arithmetic, Geometry and Music
title_full_unstemmed Measuring the Invisible: A Process among Arithmetic, Geometry and Music
title_sort Measuring the Invisible: A Process among Arithmetic, Geometry and Music
author Saito, Fumikazu
author_facet Saito, Fumikazu
Bromberg, Carla
author_role author
author2 Bromberg, Carla
author2_role author
dc.contributor.author.fl_str_mv Saito, Fumikazu
Bromberg, Carla
description Abstract: The parallel between music and mathematics abounded in sixteenth-century studies. Referring to the concept of proportions, it was then assumed that theorists considered audible and visible proportions to be analogous. However, when approaching the treatises and focusing on how those processes of mensuration took place, we realise that there were differences concerning the very notion of quantifying. In this paper, we would like to identify the roles played by arithmetic and geometry in the musical tradition through the notion of quantification, departing from the definition of the musical interval given by the most important theorist of the sixteenth century, Gioseffo Zarlino, and identifying the core of musical debates within the realm of mathematics. Keywords: Mathematics; Music; Optics; Geometry; Arithmetic; Measuring
publishDate 2015
dc.date.none.fl_str_mv 2015-12-11
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
Historical Inquiry
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv https://revistas.pucsp.br/index.php/circumhc/article/view/24000
url https://revistas.pucsp.br/index.php/circumhc/article/view/24000
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv https://revistas.pucsp.br/index.php/circumhc/article/view/24000/18610
https://revistas.pucsp.br/index.php/circumhc/article/view/24000/36150
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.publisher.none.fl_str_mv Centro Simão Mathias de Estudos em História da Ciência
publisher.none.fl_str_mv Centro Simão Mathias de Estudos em História da Ciência
dc.source.none.fl_str_mv Circumscribere International Journal for the History of Science; Vol. 16 (2015); 17-37
Circumscribere International Journal for the History of Science; v. 16 (2015); 17-37
1980-7651
reponame:Circumscribere
instname:Pontifícia Universidade Católica de São Paulo (PUC-SP)
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instname_str Pontifícia Universidade Católica de São Paulo (PUC-SP)
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institution PUC_SP
reponame_str Circumscribere
collection Circumscribere
repository.name.fl_str_mv Circumscribere - Pontifícia Universidade Católica de São Paulo (PUC-SP)
repository.mail.fl_str_mv ||circumhc@pucsp.br
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