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
Music by the Numbers: From Pythagoras to Schoenberg
Download ebook for mobile phone Music by the Numbers: From Pythagoras to Schoenberg by Eli Maor 9780691176901 DJVU MOBI CHM
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
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Music by the numbers - CERN Document Server 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 ofSchönberg, and ending with contemporary string theory, Music by the Numbers tells a fascinating story of composers, scientists, inventors, and
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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Music by the Numbers: From Pythagoras to Schoenberg - H-Net Citation: H-Net Book Channel. New Book - Music by the Numbers: FromPythagoras to Schoenberg. The H-Net Book Channel. 12-0-. -2017. https:// networks.h-net.org/node/1883/pages/1036404/new-book-music-numbers-pythagoras-schoenberg. Licensed under a Creative Commons
The Music of the Spheres, or the Metaphysics of Music by Robert 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 fact that music was . Like Pythagoras, Schoenberg believed that number was the key to the universe. Unlike Pythagoras, he believed his
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
Tetrachord - Wikipedia In music theory, a tetrachord is a series of four notes separated by three smaller intervals. In traditional music theory, a tetrachord always spanned the interval of a perfect fourth, a 4:3 frequency proportion—but in modern use it means any four- note segment of a scale or tone row, not necessarily related to a particular tuning
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
Chromatic scale - Wikipedia The chromatic scale is a musical scale with twelve pitches, each a semitone above or below its adjacent pitches. As a result, in 12-tone equal temperament the chromatic scale covers all 12 of the available pitches. Thus, there is only one chromatic scale. Moreover, in equal temperament, all the semitones have the same
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