[PDF] Music by the Numbers: From Pythagoras to Schoenberg by Eli Maor

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

Music-by-the-Numbers-From.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

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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.

Music by the Numbers: From Pythagoras to Schoenberg - Eurobuch
Finden Sie alle Bücher von Eli Maor - Music by the Numbers: From Pythagoras toSchoenberg. Bei der Büchersuchmaschine eurobuch.com können Sie antiquarische und Neubücher VERGLEICHEN UND SOFORT zum Bestpreis bestellen. 9781400889891.
Music by the Numbers From Pythagoras to Schoenberg von Eli Maor
Music by the Numbers From Pythagoras to Schoenberg - (EAN:9780691176901)
Music and Mathematics: From Pythagoras to Fractals - Google Books Result
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In music, consonance and dissonance are categorizations of simultaneous or successive sounds. Consonance is associated with sweetness, pleasantness, and acceptability; dissonance is associated with harshness, unpleasantness, or unacceptability. The terms form a structural dichotomy in which they define each other 
Pythagorean Longings and Cosmic Symphonies: The Musical
Even after World War II, physics re-engaged archaic Pythagorean imagery in the service of new theoretical initiatives; at the same time, electronic and film music created new “sounds of space” that contrasted with the “cosmic sublime” invoked by Beethoven, Stravinsky, and Schoenberg. So far, though, the sonifications of 
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 
Music Composition & Math (numbers/sequences) - Roel's World
A blog article about music composition, math, geometry, number sequences, pi, phi, fibonacci, dodecaphony, Twelve-tone technique and more Dodecaphony is a method of musical composition devised by Austrian composer Arnold Schoenberg (1874–1951). The technique is a means of ensuring that all 12 notes of 
Music by the Numbers: From Pythagoras to Schoenberg: 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, 

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