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Free PDF Books Download Information
- 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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