Computational Models of Rhythm and Meter
This book presents the latest computational models of rhythm and meter that are based on number theory, combinatorics and pattern matching. Two computational models of rhythm and meter are evaluated: The first one explores a relatively new field in Mathem
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Computational Models of Rhythm and Meter
Computational Models of Rhythm and Meter
Georg Boenn
Computational Models of Rhythm and Meter
123
Georg Boenn Department of Music University of Lethbridge Lethbridge, Alberta Canada
ISBN 978-3-319-76284-5 ISBN 978-3-319-76285-2 https://doi.org/10.1007/978-3-319-76285-2
(eBook)
Library of Congress Control Number: 2018942628 © Springer International Publishing AG, part of Springer Nature 2018 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. 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. The publisher, the authors and the editors are safe to assume that the advice and information in this book are believed to be true and accurate at the date of publication. Neither the publisher nor the authors or the editors give a warranty, express or implied, with respect to the material contained herein or for any errors or omissions that may have been made. The publisher remains neutral with regard to jurisdictional claims in published maps and institutional affiliations. Printed on acid-free paper This Springer imprint is published by the registered company Springer International Publishing AG part of Springer Nature The registered company address is: Gewerbestrasse 11, 6330 Cham, Switzerland
To my children
Preface
This book is the result of nearly thirteen years of my research in the area of rhythm, meter, and expressive timing. I hope it will be beneficial for composers, musicologists, musicians, software developers, as well as for the research communities working in these areas. I wish to express my gratitude to the people who taught me, who shared their knowledge, and who gave advice, support and encouragement. I would like to start with Clarence Barlow whose course Musiquantenlehre I took at the Musikhochschule in Cologne, Germany, in 1990. It was his intense one-week course, which set me onto the path of using computer algorithms for music composition and analysis ever since. The reader will find two of his formulas in this book, which are being applied to rhythm analysis and quantization. Thanks also to John Fitch who supervised my Ph.D. thesis, and who first told me about the Farey Sequence; to Martin Brain as well, with whom I have had the pleasure to work with at the University of Bath, England. Special thanks to Peter Giger and his wonderful book on Rhythm, from which I took inspiration for my shorthand notation. To my percussion coll
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