Mobi books download Music by the Numbers: From Pythagoras to Schoenberg English version by Eli Maor 9780691176901

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

Music by the Numbers: From Pythagoras to Schoenberg

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ISBN: 9780691176901 | 176 pages | 5 Mb

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

Download Music by the Numbers: From Pythagoras to Schoenberg

Mobi books download Music by the Numbers: From Pythagoras to Schoenberg English version by Eli Maor 9780691176901

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.

Pythagoras and Music
and the music of the spheres on Pythagoras’s teachings as passed down through the years, and it is a good source from which to explain some basic concepts.5 The Pythagoreans found that the speed of vibration and the size of the sound-producing body were the factors in music that were regulated by number. A modern example
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Pythagoras’ Philosophy •Theorized that everything, physical and spiritual, had been assigned its alotted number and form. •“Everything is number.” •According to Aristotle, “The Pythagoreans devoted themselves to mathematics, they were the first to advance this study and having been brought up in it they thought its principles were
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Music by the Numbers: From Pythagoras to Schoenberg. Eli Maor Publisher: Princeton University Press. File name: Music-by-the-Numbers-From.pdf ISBN: 9780691176901 | 176 pages | 5 Mb
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C/D has been influenced by theorists such as Pythagoras, Fux, Rameau, Riemann, Schenker music and theoretical writings of Arnold Schoenberg, and the radical interrogation of previous Pythagorean number ratios were an early attempt to explain C/D. Over two millennia later, Schenker (1910, 1922) asserted that
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Pythagoras’s capacity for a deep under-standing of the wisdom of even more ancient numbers 3, 4, and 5, from the viewpoint of modern scholarship, which is deeply imbued Egyptian Numerology: the Pythagorean Triangle and Its Esoteric Meaning
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Music By The Numbers: From Pythagoras To Schoenberg Eli Maor PDF ePub Mobi Download Music By The Numbers: From Pythagoras To Schoenberg Eli Maor (PDF, ePub, Mobi) Books Music By The Numbers: From Pythagoras To Schoenberg Eli Maor (PDF, ePub, Mobi) Page 2/5 with Maor’s personal reflections as a mathematician and lover of classical music, Music
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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

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