Mathematical and Computational Modeling of Tonality Theory and Appli
From the Preface:Blending ideas from operations research, music psychology, music theory, and cognitive science, this book aims to tell a coherent story of how tonality pervades our experience, and hence our models, of music.The story is told through the
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Elaine Chew
Mathematical and Computational Modeling of Tonality Theory and Applications
International Series in Operations Research & Management Science Volume 204
Series Editor Frederick S. Hillier Stanford University, CA, USA Special Editorial Consultant Camille C. Price Stephen F. Austin State University, TX, USA This book was recommended by Dr. Price
For further volumes: http://www.springer.com/series/6161
Elaine Chew
Mathematical and Computational Modeling of Tonality Theory and Applications
123
Elaine Chew Centre for Digital Music Queen Mary University of London London UK
ISSN 0884-8289 ISBN 978-1-4614-9474-4 DOI 10.1007/978-1-4614-9475-1
ISSN 2214-7934 (electronic) ISBN 978-1-4614-9475-1 (eBook)
Springer New York Heidelberg Dordrecht London Library of Congress Control Number: 2013953210 Springer Science+Business Media New York 2014 This work is subject to copyright. All rights are reserved by the Publisher, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilms or in any other physical way, and transmission or information storage and retrieval, electronic adaptation, computer software, or by similar or dissimilar methodology now known or hereafter developed. Exempted from this legal reservation are brief excerpts in connection with reviews or scholarly analysis or material supplied specifically for the purpose of being entered and executed on a computer system, for exclusive use by the purchaser of the work. Duplication of this publication or parts thereof is permitted only under the provisions of the Copyright Law of the Publisher’s location, in its current version, and permission for use must always be obtained from Springer. Permissions for use may be obtained through RightsLink at the Copyright Clearance Center. Violations are liable to prosecution under the respective Copyright Law. The use of general descriptive names, registered names, trademarks, service marks, etc. in this publication does not imply, even in the absence of a specific statement, that such names are exempt from the relevant protective laws and regulations and therefore free for general use. While the advice and information in this book are believed to be true and accurate at the date of publication, neither the authors nor the editors nor the publisher can accept any legal responsibility for any errors or omissions that may be made. The publisher makes no warranty, express or implied, with respect to the material contained herein. Printed on acid-free paper Springer is part of Springer Science+Business Media (www.springer.com)
This book is dedicated to my father, Chew Kim Lin, who instilled in me a love for mathematics, George Dantzig, in memoriam, who gave me my first glimpse into research, and Jeanne Bamberger, who showed me I could combine it all with music
Preface
Blending ideas from operations research, music psychology, music theory, and cognitive science, this book aims to tell a
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