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

Music-by-the-Numbers.pdf
ISBN: 9780691176901 | 176 pages | 5 Mb

• 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

Jungle book download music Music by the Numbers: From Pythagoras to Schoenberg by Eli Maor in English 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.

Eli Maor: Music by the Numbers: From Pythagoras to Schoenberg
Eli Maor: Music by the Numbers: From Pythagoras to Schoenberg - Sprache: Englisch. (Buch) - portofrei bei eBook.de. Maor, Eli: Music by the Numbers - From Pythagoras to Schoenberg
Music by the Numbers, szerző: Maor, Eli, Kategória: General, Ár: 6 649 Ft. Dymocks - Music by the Numbers: From Pythagoras to Schoenberg
Buy Music by the Numbers: From Pythagoras to Schoenberg from Dymocks online BookStore. Find latest reader reviews and much more at Dymocks. The Music of the Spheres: Music, Science, and the Natural Order of - Google Books Result
Jamie James - ‎1995 - Music Music by the Numbers: From Pythagoras to Schoenberg - H-Net
Citation: H-Net Book Channel. New Book - Music by the Numbers: FromPythagoras to Schoenberg. The H-Net Book Channel. 12-0-. -2017. https:// networks.h-net.org/node/1883/pages/1036404/new-book-music-numbers-pythagoras-schoenberg. Licensed under a Creative Commons  MUSICAGE: CAGE MUSES on Words * Art * Music - Google Books Result
John Cage, Joan Retallack - ‎2011 - Music Numbers and number correspondences in opus 40 - ResearchGate
Numbers and number correspondences in opus 40 by Arnold Schoenberg [ microform] : Pythagoras and the Quadrivium revisited /. Article · January 1986 with 1 Reads. Source: OAI. Cite this publication. CHARLES WILLIAM ORE. Abstract. Schoenberg's Variations on a Recitative for Organ, Opus 40, was written in 1941 at  MATH AND MUSIC - THE DEEPER LINKS - NYTimes.com
Schoenberg's ''serial'' system for manipulating the scale's 12 tones has exercised enormous influence. Other composers have tried to Pythagoras, to whom fundamental mathematical discoveries are attributed, believed music to be the expression of number in sound. Aristotle said of the Pythagoreans,  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  Chromatic scale - Wikipedia
The chromatic scale is a musical scale with twelve pitches, each a semitone above or below its adjacent pitches. As a result, in 12-tone equal temperament the chromatic scale covers all 12 of the available pitches. Thus, there is only one chromatic scale. Moreover, in equal temperament, all the semitones have the same  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,  Music by the Numbers: From Pythagoras to Schoenberg - Eli Maor
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,  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; 書展 優惠：新書特價  Undercurrents: The Hidden Wiring of Modern Music - Google Books Result
The Wire - ‎2002 - Social Science

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