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

• 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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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 by the Numbers: From Pythagoras to Schoenberg: Eli Maor 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  How composers from Mozart to Bach made their music add up If you know your Mozart then you'll identify 43 as the number that comes after 36 in the first sequence. These are the opening lines of The Marriage of Figaro sung by Figaro as he measures out the room that he will share with Susanna once they are married. It's a curious selection of numbers that when  The Music of the Spheres, or the Metaphysics of Music Arnold Schoenberg and John Cage, is often celebrated as just another change in the techniques Pythagoras thought that number was the key to the universe. When he found that harmonic music is expressed in exact numerical ratios of whole numbers, he concluded that music was the ordering principle of the world. The. 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,  Magic numbers: composers and their clandestine codes | Tom The real importance of this discovery, as Kennedy says, is that it allies Plato with the heretical, Pythagorean idea that "mathematical law governed the universe and not Zeus". It's a clandestine code that ties Plato's work to the scientific arcana of music as it was understood by the ancient Greeks. And it may  Music by the Numbers: From Pythagoras to Schoenberg - Books on 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  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 

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