Music by the Numbers : From Pythagoras to Schoenberg / Eli Maor.

Format:

Book

Author/Creator:

Maor, Eli, author.

Language:

English

Subjects (All):

Music--Mathematics.

Music.

Music--Acoustics and physics.

Physical Description:

1 online resource (xvii, 155 pages) : illustrations, maps, music

Place of Publication:

Princeton, NJ : Princeton University Press, [2018]

Language Note:

In English.

Summary:

How music has influenced mathematics, physics, and astronomy from ancient Greece to the twentieth centuryMusic is filled with mathematical elements, the works of Bach are often said to possess a math-like logic, and Igor Stravinsky said "musical form is close to mathematics," while Arnold Schoenberg, Iannis Xenakis, and Karlheinz Stockhausen went further, writing music explicitly based on mathematical principles. Yet Eli Maor argues that music has influenced math at least as much as math has influenced music. Starting with Pythagoras, proceeding through the work of Schoenberg, and ending with contemporary string theory, Music by the Numbers tells a fascinating story of composers, scientists, inventors, and eccentrics who played a role in the age-old relationship between music, mathematics, and the sciences, especially physics and astronomy. Music by the Numbers explores key moments in this history, particularly how problems originating in music have inspired mathematicians for centuries. Perhaps the most famous of these problems is the vibrating string, which pitted some of the greatest mathematicians of the eighteenth century against each other in a debate that lasted more than fifty years and that eventually led to the development of post-calculus mathematics. Other highlights in the book include a comparison between meter in music and metric in geometry, complete with examples of rhythmic patterns from Bach to Stravinsky, and an exploration of a suggestive twentieth-century development: the nearly simultaneous emergence of Einstein's theory of relativity and Schoenberg's twelve-tone system.Weaving these compelling historical episodes with Maor's personal reflections as a mathematician and lover of classical music, Music by the Numbers will delight anyone who loves mathematics and music.

Contents:

Frontmatter

Contents

Preface

Chapter 1. Prologue: A World in Crisis

Chapter 2. String Theory, 500 BCE

Sidebar A. It's All about Nomenclature

Chapter 3. Enlightenment

Chapter 4. The Great String Debate, 1730-1780

Sidebar B. The Slinky

Chapter 5. A Most Precious Gift

Chapter 6. Musical Temperament

Sidebar C. Music for the Record Books

Chapter 7. Musical Gadgets

Chapter 8. Rhythm, Meter, and Metric

Chapter 9. Frames of Reference: Where am I?

Sidebar D. Musical Hierarchies

Chapter 10. Relativistic Music

Chapter 11. Aftermath

Sidebar E. The Bernoulli

Chapter 12. The Last Pythagoreans

Bibliography

Illustration Credits

Index

Notes:

Includes bibliographical references and index.

Description based on online resource; title from PDF title page (publisher's Web site, viewed 23. Mai 2019)

ISBN:

9781400889891

1400889898

OCLC:

1029759690