Read [Pdf]> Music by the Numbers: From Pythagoras to Schoenberg by Eli Maor

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

• Music by the Numbers: From Pythagoras to Schoenberg
• Eli Maor
• Page: 176
• Format: pdf, ePub, mobi, fb2
• ISBN: 9780691176901
• Publisher: Princeton University Press

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Music by the Numbers: From Pythagoras to Schoenberg by Eli Maor How music has influenced mathematics, physics, and astronomy from ancient Greece to the twentieth century Music 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.

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Eli Maor (Author of e) - Goodreads
Eli Maor is the author of e (3.91 avg rating, 1616 ratings, 81 reviews, published 1993), To Infinity and Beyond (3.73 avg rating, 137 ratings, 15 reviews
Music by the Numbers : Eli Maor : 9780691176901 - Book Depository
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 ofSchoenberg, and ending with contemporary string theory, Music by the Numbers tells a fascinating story of composers, scientists, inventors, and eccentrics who 
Music by the Numbers: From Pythagoras to Schoenberg - Books on
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 ofSchoenberg, and ending with contemporary string theory, Music by the Numbers tells a fascinating story of composers, scientists, inventors, and eccentrics who 
New Book - Music by the Numbers: From Pythagoras to Schoenberg
Author: Eli Maor Title: Music by the Numbers: From Pythagoras to Schoenberg Publisher: Princeton University Press Publication Date: 5/8/2018. ISBN: 9780691176901 Hardcover (English). Find in WorldCat - Find on Amazon.com 
DFR : Search
Tonality and Scale Theory · R. Wilding-White; Journal of Music Theory , Vol. 5, No . 2 (Winter, 1961), pp. 275-286; Subjects: Music; Key terms: tonality, pitch, gamut, scale, musical, diatonic, tonic, octave, formula, transposition, cyclical, triad, tone, major, chord, chromatic, mode, identical, system, schoenberg; CiteRank: 0.6295  
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Representations of Beauty in Choral Music at the Beginning of the
Representations of Beauty in Choral Music at the Beginning of the 20th and 21st Centuries: Schoenberg's “Friede auf Erden” and Lauridsen's “O Nata Lux” The origins of harmony—influenced by the Pythagorean mathematical ideal of whole-number ratios—adored perfect intervals in parallel motion.

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