Theoretical And Practical Pedagogy Of Mathematical Music Theory: Music For Mathematics And Mathematics For Music, From School To Postgraduate Levels

by Mariana Montiel, Francisco Gomez

Overview

During the past 40 years, mathematical music theory has grown and developed in both the fields of music and mathematics. In music pedagogy, the need to analyze patterns of modern composition has produced Musical Set Theory, and the use of Group Theory and other modern mathematical structures have become almost as common as the application of mathematics in the fields of engineering or chemistry. Mathematicians have been developing stimulating ideas when exploring mathematical applications to established musical relations. Mathematics students have seen in Music in Mathematics courses, how their accumulated knowledge of abstract ideas can be applied to an important human activity while reinforcing their dexterity in Mathematics. Similarly, new general education courses in Music and Mathematics are being developed and are arising at the university level, as well as for high school and general audiences without requiring a sophisticated background in either music nor mathematics. Mathematical Music Theorists have also been developing exciting, creative courses for high school teachers and students of mathematics. These courses and projects have been implemented in the USA, in China, Ireland, France, Australia, and Spain.The objective of this volume is to share the motivation and content of some of these exciting, new Mathematical Theory and Music in Mathematics courses while contributing concrete materials to interested readers.

Product Details

ISBN-13:	9789813228344
Publisher:	World Scientific Publishing Company, Incorporated
Publication date:	12/14/2018
Pages:	324
Product dimensions:	6.00(w) x 9.00(h) x 0.75(d)

Table of Contents

Introduction v

About the Editors xv

Section I 1

1 Rhythm and Transformation Rachel Hall 3

2 Creating a Level Playing Field for Non-music Majors Timothy A. Johnson 31

3 Mathematics in Music: An Undergraduate Course James R. Hughes 45

4 Phenomenally Loud: Music, Mathematics, and the Diversity of Musical Experience Jon Kockavi 67

Section II 85

5 Mathematical Music Theory: Integrated Course Pairing with Mathematics and Music Students from the USA and China Mariana Montiel 87

6 Scaling up to Atonality: The Pedagogy of Small Cyclic Universes Richard Cohn 127

Section III 151

7 Matherhythm: Lessons on Divisibility and Rhythm Francisco Gómez 153

8 "Concerférences": Addressing Different Publics for Mathemusical Popularization Emmanuel Amiot 179

9 Visualizing and Sonifying Mathematical Music Theory with Software Applications: Implications of Computer-Based Models for Practice and Education Courtney Hilton Andrea Calilhanna Andrew J. Milne 201

10 Muthsics for Clueless: An Experiment with Euclidean Rhythms Miguel R. Wilhelmi Mariana Montiel 237

Section IV 279

11 Can Mathematical Theory of Music Be Easily Learnt and Also Be Fun? Maria Mannone 281

Index 299