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PDF Name: Music by the Numbers
Author: Eli Maor
Book’s Language: English
Published Year: 2018
Pages: 176
File Size: 25.88 MB
Downloads Type: Free PDF Download Books
PDF File Name: Music-by-the-Numbers-From-Pythagoras-to-Schoenberg-PDFRat-.pdf
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Category of the Book: Music
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Summary of Music by the Numbers by Eli Maor

“Music by the Numbers: From Pythagoras to Schoenberg” highlights.

“Music by the Numbers: From Pythagoras to Schoenberg” examines the history of music and mathematics.
The book explores the mathematical concepts behind musical harmony, rhythm, and composition, showcasing the work of numerous scholars, composers, and mathematicians.
Pythagoras’ musical discoveries start the paper. Pythagoras developed the Pythagorean tuning system to explain music using mathematical ratios and harmonies.
It explains intervals and how ratios create consonant or discordant sounds. The author analyzes intervals’ role in tonality and emotion in various musical traditions.
The document discusses musical notation system development and math. It explores the evolution of staff notation, including clefs, note durations, and key signatures.
The author explains how scales and modes are built mathematically and how they create different musical flavors. The text covers major, minor, and derived scales.
The text discusses mathematics in counterpoint, harmony, and chord progressions. It explains the mathematical basis behind beautiful harmonic progressions and famous composers who utilized mathematical frameworks.
Arnold Schoenberg and modern music theory are examined. Schoenberg’s twelve-tone method, based on math, sought to break with tonality.
Digital signal processing, computer-generated music, and algorithmic composition use mathematics in music technology. Mathematical algorithms build musical patterns and open new creative avenues.
It finishes by underlining how mathematical concepts help us understand music and its universal language.

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