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

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  • 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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Audio book free downloads ipod Music by the Numbers: From Pythagoras to Schoenberg in English by Eli Maor

 

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.

The Music of the Spheres - The Imaginative Conservative
According to tradition, the harmonic structure of music was discovered byPythagoras about the fifth century B.C. Pythagoras experimented with a stretched piece of cord. When plucked, the cord . Like Pythagoras, Schoenberg believed that number was the key to the universe. Unlike Pythagoras, he  Booktopia - Music by the Numbers, From Pythagoras to Schoenberg
Booktopia has Music by the Numbers, From Pythagoras to Schoenberg by Eli Maor. Buy a discounted Hardcover of Music by the Numbers online from Australia's leading online bookstore. Pythagoras and the Quadrivium revisited
Type of publication: Phdthesis. Citation: Ore1986. Type: Thesis (D.M.A.). Year: 1986. Pages: 253. School: University of Nebraska. Key (?): Bibliothek : ML410. S2836V3 O73 1986. Keywords: Dissertations. University of Nebraska, Musical analysis, Schönberg Arnold. Variations on a Recitative op. 40 , Symbolism ofnumbers. Music by the Numbers From Pythagoras to Schoenberg von Eli Maor
Music by the Numbers From Pythagoras to Schoenberg - (EAN:9780691176901) The Sound of Numbers - SJU - Saint Joseph's University
The Sound of Numbers is a book on the mathematics of music theory—that is, the use of mathematics to describe, analyze, .. Xenakis, Messiaen, andSchoenberg [66, 49, 44, 40, 27]. Their mathematical mathematics. ThePythagoreans' discovery of the mathematical nature of musical sound gave rise to  Music by the Numbers: From Pythagoras to Schoenberg eBook: Eli
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,  Amazon.fr - Music by the Numbers: From Pythagoras to Schoenberg
Noté 0.0/5. Retrouvez Music by the Numbers: From Pythagoras to Schoenberg et des millions de livres en stock sur Amazon.fr. Achetez neuf ou d'occasion. Music by the Numbers - Eli Maor - Bok (9780691176901) | Bokus
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 - 三民書局
Music by the Numbers ― From Pythagoras to Schoenberg. ISBN13: 9780691176901; ISBN9:069117690; 出版社: Princeton Univ Pr; 作者:Eli Maor; 裝訂/頁數:精裝/192頁; 規格:21.6cm*14cm (高/寬); 出版日:2018/05/08  “The Organ Music and Musical Philosophy of Charles W - Charles Ore
Numbers and number correspondences in Opus 40 by Arnold Schoenberg :Pythagoras and the Quadrivium Revisited by Charles Ore. This doctoral dissertation offers a numerical analysis of Schoenberg's Variations on a Recitative for Organ. It is Dr. Ore's thesis that the peculiarities of the score andSchoenberg's insistence 



 

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