Item description for Foundations of Diatonic Theory: A Mathematically Based Approach to Music Fundamentals (Mathematics Across the Curriculum) by Timothy A. Johnson...
Foundations of Diatonic Theory is the first introductory, undergraduate-level book published on diatonic set theory, an important but often overlooked sub-field of music theory. It provides an easy entry point into this challenging field and is appropriate for introductory music majors, motivated non-majors, music theorists, and mathematicians with musical interests.
This book supplements any Music Theory or Fundamentals of Music course which includes music theory, and is suitable for self-study of basic music theory in a mathematical context. It requires only general mathematical knowledge, and provides the solution for nearly all exercises.
This book is part of the NSF-funded Mathematics Across the Curriculum (MATC) project at Dartmouth College developed to achieve the goal of allowing students to focus on their disciplines while improving their mathematical skills.
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Est. Packaging Dimensions: Length: 9.9" Width: 7.9" Height: 0.5" Weight: 0.7 lbs.
Release Date Jan 27, 2003
Publisher Key College
ISBN 1930190808 ISBN13 9781930190801
Reviews - What do customers think about Foundations of Diatonic Theory: A Mathematically Based Approach to Music Fundamentals (Mathematics Across the Curriculum)?
Diatonic set theory: a little math-lots of potential answers Jan 26, 2005
Part of the Mathematics Across the Curriculum series, Foundations of Diatonic Theory IS mathematically based, but only requires basic math skills. While it claims to serve as a intro or basic music theory text, the first few chapters do not introduce interval names and thus require prior knowledge. On the other hand, it introduces relatively little mathematical skills such as greatest common divisor and coprime, avoiding modulo 12.
This instructional text is based on the latest papers in diatonic set theory. For people who took a music theory intro class and left with more questions than they began, this book is likely what they want. Why major and minor? Why the modes? Why the diatonic scale? Why the diatonic triads and seventh chords? The book leads readers through the discovery of properties of these collections which help explain their general, and some specific, uses and qualities.