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Music by the Numbers – From Pythagoras to Schoenberg PDF download free link is available in this article. Below, you may read this book’s summary to understand the basic concept. Furthermore, using the Download PDF link, you can get Music by the Numbers in PDF edition at our free book library website, PDFRat. You can even read PDF books online at our website.

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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
  • Read PDF Online: Read Music by the Numbers Book PDF Online
  • 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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