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

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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 free ebooks google books Music by the Numbers: From Pythagoras to Schoenberg by Eli Maor 9780691176901 in English

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.

Sterne, Pythagoras and Pierrot (PNM 21-1+2, 1982) | Interval (Music
Pythagoras and Pierrot: An Approach to Schoenberg's Use of Numerology in the Construction of 'Pierrot lunaire' Author(s): Colin C.Sterne Source: suggestssong inPierrot, there.5 described view ofthePoet-Pierrot-Schoenberg figure berg's because itfigures 11 is also important Number amongSchoenthat it it interest  Music and Mathematics: From Pythagoras to Fractals: Amazon.co.uk
Extraordinary insight with plenty of musical and technical knowledge shared and explained. The book is a collection of essays that do (as they say) take you from early tunings and temperament, through the maths of sound, to the odd approaches to composing (e.g. Schoenberg). You need to be dedicated to the  Music by the Numbers: From Pythagoras to Schoenberg - Kindle
Editorial Reviews. From the Back Cover. "A fascinating investigation of the relationship between math and music--what they have in common, how they differ, and how each has informed the other, from Pythagoras to Schoenberg, from violin strings to superstrings. A delightful examination of how math and culture interact. "NUMBERS AND NUMBER CORRESPONDENCES IN OPUS 40 BY
These numbers, as used by Schoenberg, also express the Pythagorean theorem and the tetraktys. Further, Schoenberg used numbers to develop internal numerical correspondences between many of the various compositional components at both the micro and macro levels. The composition has many curious features. Music by the Numbers: From Pythagoras to Schoenberg
Trouvez tous les livres de Eli Maor - Music by the Numbers: From Pythagoras toSchoenberg. Sur fr.eurobuch.ch,vous pouvez commander des livres anciens et neufs.COMPARER ET acheter IMMÉDIATEMENT au meilleur prix. 9781400889891. 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  Maor, E.: Music by the Numbers: From Pythagoras to Schoenberg
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  Music by the Numbers: From Pythagoras to Schoenberg - Gleebooks
Title: Music by the Numbers: From Pythagoras to Schoenberg Author: MAOR ELI Format: HARDCOVER Publication date: 15/03/2018. Imprint: PRINCETON UNI PRESS Price: $49.99. Publishing status: NOT YET PUBLISHED Music is filled with mathematical elements, the works of Bach are often said to possess a math- like 

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