Musical Scales and their Mathematics. Karlheinz Schüffler

Musical-Scales-and-their.pdf
ISBN: 9783662695401 | 711 pages | 18 Mb

Musical Scales and their Mathematics
Karlheinz Schüffler
Page: 711
Format: pdf, ePub, fb2, mobi
ISBN: 9783662695401
Publisher: Springer Berlin Heidelberg

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Are musical scales just trivial? This book explores this question, revealing the complexity of creating "harmony" in tonal systems. Why 12 tones? Are there alternatives? Are 12 fifths equal 7 octaves? What is "consonance"? When are intervals "perfect" or "imperfect"? What is meant by "tonal characteristics", "whole tone" and "semitone"? "Ancient tuning" vs potentially new? Answers need thoughtful explanations, revealing interconnectedness. In this context, mathematics is pivotal, explaining scale generation, temperament systems, etc. Divided into three parts, this book covers: • Modern interval arithmetic driven by prime numbers. • Architectural principles of scales, with examples. • Systematic nature of historical tunings and temperaments. Understanding only requires school knowledge, developed into algebraic tools applied musically.

Musical Mathematics: Extensive Reviews - The Chrysalis Foundation
A unique book on the practical application of mathematics to the construction of new musical instruments for new 21st Century music.
Mathematics Study Resources Musical Scales and Their . - Walmart
Are musical scales just trivial? This book explores this question, revealing the complexity of creating "harmony" in tonal systems. Why 12 tones? Are there .
Musical Scales And Their Mathematics Book By Karlheinz Schuffler .
Buy the book Musical Scales and their Mathematics by karlheinz schuffler at Indigo.
Musical Scales and their Mathematics. book by Karlheinz Schüffler
This book explores this question, revealing the complexity of creating ``harmony'' in tonal systems. Systematic nature of historical tunings and temperaments.
Recommendations for books that explore the math behind music
Many styles of music do not emphasize harmony. A lot of atonal composers use mathematics to organize their music, and of course they can do so.

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