Fix, Adam (Author)
Boantza, Victor D. (Advisor)
In this dissertation I analyze the relations between mathematics, music theory, and experimental sciences from the scientific revolution through the Enlightenment. Music in the early modern period was seen as a mathematical science. More so than other branches of mathematics, music also had a direct connection to human sensory perception. I show that music, interpreted as a kind of "sensible mathematics," played a crucial though largely underappreciated role in uniting mathematical and empirical European scientific traditions. I describe the upheavals that saw music theory become unmoored and drift away from what came to be known as modern science. During the Enlightenment it landed in the domain of fine arts and aesthetics, a separation we typically see as self-evident today. By elucidating the role of music in the scientific revolution and its aftermath, while emphasizing the shift from premodern musical science to modern physico-mathematical acoustics, I reveal the profound—even paradoxical—tensions between science and the practical arts.
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Article
Fabio Bellissima;
(2014)
Arithmetic, Geometric and Harmonic Means in Music Theory
(/p/isis/citation/CBB139505675/)
Book
Gal, Ofer;
Chen-Morris, Raz;
(2013)
Science in the Age of Baroque
(/p/isis/citation/CBB001213194/)
Article
Sisman, Elaine;
(2013)
Hadyn's Solar Poetics: The Tageszeiten Symphonies and Enlightenment Knowledge
(/p/isis/citation/CBB001320652/)
Book
Wardhaugh, Benjamin;
(2008)
Music, Experiment and Mathematics in England, 1653--1705
(/p/isis/citation/CBB000950393/)
Article
Wardhaugh, Benjamin;
(2007)
The Logarithmic Ear: Pietro Mengoli's Mathematics of Music
(/p/isis/citation/CBB000772411/)
Book
Kim Williams;
Michael J. Ostwald;
(2015)
Architecture and Mathematics from Antiquity to the Future: Volume II: The 1500s to the Future
(/p/isis/citation/CBB835229511/)
Thesis
Zhuqing Hu;
(2019)
From Ut Re Mi to Fourteen-Tone Temperament: The Global Acoustemologies of an Early Modern Chinese Tuning Reform
(/p/isis/citation/CBB144734757/)
Book
Juan Carlos González Espitia;
(2019)
Sifilografía: A History of the Writerly Pox in the Eighteenth-Century Hispanic World
(/p/isis/citation/CBB593267991/)
Book
Denis De Lucca;
(2012)
Jesuits and Fortifications: The Contribution of the Jesuits to Military Architecture in the Baroque Age
(/p/isis/citation/CBB245150857/)
Book
Baker, Christopher Paul;
(2002)
Absolutism and the Scientific Revolution, 1600-1720: A Biographical Dictionary
(/p/isis/citation/CBB000301501/)
Article
Villegas Guillén, Salvador;
(2006)
Un fresco de Rafael, un desconocido Boecio y un diapasón
(/p/isis/citation/CBB001023873/)
Article
Carla Bromberg;
Ana M. Alfonso-Goldfarb;
(2016)
Music and Mathematics: A Case Study in the History of Science
(/p/isis/citation/CBB854514897/)
Article
Fabio Bellissima;
Maria Silvestrini;
(2017)
The «Mathematical Possibilities» of the Music Concept of Mode from Ptolemy to Messiaen
(/p/isis/citation/CBB413487512/)
Article
Creese, David;
(2012)
Rhetorical Uses of Mathematical Harmonics in Philo and Plutarch
(/p/isis/citation/CBB001221683/)
Article
Cecilia Panti;
(2017)
Boethius and Ptolemy on Harmony, Harmonics and Human Music
(/p/isis/citation/CBB900599050/)
Article
Borzacchini, Luigi;
(2007)
Incommensurability, Music, and Continuum: A Cognitive Approach
(/p/isis/citation/CBB000771561/)
Article
Siegert, Bernhard;
(2013)
Mineral Sound or Missing Fundamental: Cultural History as Signal Analysis
(/p/isis/citation/CBB001320385/)
Book
Assayag, Gérard;
Feichtinger, Hans Georg;
Rodrigues, José Francisco;
(2002)
Mathematics and Music: A Diderot Mathematical Forum
(/p/isis/citation/CBB000330004/)
Book
Andrea Strazzoni;
(2019)
Burchard de Volder and the Age of the Scientific Revolution
(/p/isis/citation/CBB530504995/)
Chapter
Jan Golinski;
(2017)
Enlightenment Science
(/p/isis/citation/CBB923464058/)
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