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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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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
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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,
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.
Undercurrents: The Hidden Wiring of Modern Music - Google Books Result The Wire - 2002 - Social Science
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
Is Music Sacred? - Crisis Magazine As Aristotle explained in Metaphysics, the Pythagoreans “supposed the elements of numbers to be the elements of all things, and the whole heaven to be amusical scale and a . In the 1920s, Arnold Schoenberg unleashed the centrifugal forces of disintegration in music through his denial of tonality.
The Music of the Spheres, or the Metaphysics of Music He wrote a massive work called Institutiones, which echoes Plato's teaching on the ethical content of music, as well as Pythagoras's on the power of number. .Schoenberg took the twelve equal semi-tones from the chromatic scale and declared that music must be written in such a way that each of these twelve semi- tones