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The Mathematics of Music and Art

Title
The Mathematics of Music and Art [electronic resource] / by Arturo Portnoy.
ISBN
9783031344404
Edition
1st ed. 2023.
Publication
Cham : Springer International Publishing : Imprint: Springer, 2023.
Physical Description
1 online resource (XXIV, 129 p.) 65 illus., 45 illus. in color.
Local Notes
Access is available to the Yale community.
Access and use
Access restricted by licensing agreement.
Summary
This book explores the relationships between music, the sciences, and mathematics, both ancient and modern, with a focus on the big picture for a general audience as opposed to delving into very technical details. The language of music is deciphered through the language of mathematics. Readers are shown how apparently unrelated areas of knowledge complement each other and in fact propel each other's advancement. The presentation as well as the collection of topics covered throughout is unique and serves to encourage exploration and also, very concretely, illustrates the cross- and multidisciplinary nature of knowledge. Inspired by an introductory, multidisciplinary course, the author explores the relationships between the arts, sciences, and mathematics in the realm of music. The book has no prerequisites; rather it aims to give a broad overview and achieve the integration of the three presented themes. Mathematical tools are introduced and used to explain various aspects of music theory, and the author illustrates how, without mathematics, music could not have been developed. In addition, this book: Discuses the relationships between the arts, sciences, and mathematics in the realm of music Explores the language of music as deciphered through the language of mathematics Shows readers how apparently unrelated areas of knowledge complement each other and propel each other's advancement.
Variant and related titles
Springer Nature Synthesis Collection of Technology.
Other formats
Printed edition:
Printed edition:
Printed edition:
Format
Books / Online
Language
English
Added to Catalog
August 14, 2023
Series
Synthesis Lectures on Mathematics & Statistics,
Synthesis Lectures on Mathematics & Statistics,
Contents
Preliminaries
The pigeonhole principle
Continued fractions
Pythagoras and music
Temperaments of the scale
Patterns in music
Analysis and synthesis of music
Beats, resonance, and tuning
Digital music and information
Last thoughts.
Also listed under
SpringerLink (Online service)
Citation

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