全音階的音程理論の基礎：樂理への数学的アプローチ<br>Foundations of Diatonic Theory : A Mathematically Based Approach to Music Fundamentals (Mathematics Across the Curriculum)

全音階的音程理論の基礎：樂理への数学的アプローチ
Foundations of Diatonic Theory : A Mathematically Based Approach to Music Fundamentals (Mathematics Across the Curriculum)

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  • 製本 Paperback:紙装版/ペーパーバック版／ページ数 200 p.
  • 言語 ENG
  • 商品コード 9781930190801
  • DDC分類 511

Full Description


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.

Contents

The Vision of Mathematics Across the Curriculum.- Spatial Relations and Musical Structures.- Interval Patterns and Musical Structures.- Triads and Seventh Chords and their Structures.- Conclusion.- For Further Study.