Musical Scales and their Mathematics by Karlheinz Schüffler on Audiobook New
Musical Scales and their Mathematics by Karlheinz Schüffler
- Musical Scales and their Mathematics
- Karlheinz Schüffler
- Page: 711
- Format: pdf, ePub, mobi, fb2
- ISBN: 9783662695401
- Publisher: Springer Berlin Heidelberg
Free downloadable bookworm full version Musical Scales and their Mathematics 9783662695401 (English Edition)
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 Scales and their Mathematics (Mathematics Study .
Divided into three parts, this book covers: Modern interval arithmetic driven by prime numbers. Architectural principles of scales, with examples.
Musical Scales and their Mathematics|Paperback - Barnes & Noble
Overview. Are musical scales just trivial? This book explores this question, revealing the complexity of creating "harmony" in tonal systems.
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 - SpringerLink
This book offers a clear introduction to musical intervals and temperaments, requiring only basic school math for understanding.
Musical Scales And Their Mathematics Book By Karlheinz Schuffler .
Buy the book Musical Scales and their Mathematics by karlheinz schuffler at Indigo.
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.
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.
Musical Scales and their Mathematics | Presto Music
Divided into three parts, this book covers: Modern interval arithmetic driven by prime numbers. Architectural principles of scales, with examples. Systematic .
Musical Scales and their Mathematics: Karlheinz Schuffler
Are musical scales just trivial? This book explores this question, revealing the complexity of creating "harmony" in tonal systems. Why 12 tones? Are there .