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
Free books online for download Music by the Numbers: From Pythagoras to Schoenberg by Eli Maor (English Edition) 9780691176901 FB2 RTF PDF
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: 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,
Library : Is Music Sacred? | Catholic Culture
From the music of the spheres to Schoenberg's serialism, Robert Reilly searches for the divine in musical arts. As Aristotle explained in Metaphysics, thePythagoreans "supposed the elements of numbers to be the elements of all things, and the whole heaven to be a musical scale and a number." This was meant literally.
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
Music By The Numbers - From Pythagoras To Schoenberg - Saraiva
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,
The Music of the Spheres, or The Metaphysics of Music | Future
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 contended that tonality does not exist in nature as the very property of sound itself, as Pythagoras had claimed, but was simply an arbitrary construct of
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 - 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
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
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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
Music by the Numbers: From Pythagoras to - Amazon.com.au
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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