Acoustics and the Performance of Music Modern Acoustics and Signal Processing Editor-in-Chief WILLIAM M. HARTMANN Michigan State University, East Lansing, Michigan Editorial Board YOICHI ANDO, Kobe University, Kobe, Japan WHITLOW W. L. AU, Hawaii Institute of Marine Biology, Kane’ohe, Hawaii ARTHUR B. BAGGEROER, Massachusetts Institute of Technology, Cambridge, Massachusetts NEVILLE H. FLETCHER, Australian National University, Canberra, Australia CHRISTOPHER R. FULLER, Virginia Polytechnic Institute and State University, Blacksburg, Virginia WILLIAM A. KUPERMAN, University of California San Diego, La Jolla, California JOANNE L. MILLER, Northeastern University, Boston, Massachusetts MANFRED R. SCHROEDER, University of Göttingen, Göttingen, Germany ALEXANDRA I. TOLSTOY, A. Tolstoy Sciences, McLean, Virginia For other titles published in this series, go to www.springer.com/series/3754 Ju¨rgen Meyer Acoustics and the Performance of Music Manual for Acousticians, Audio Engineers, Musicians, Architects and Musical Instruments Makers Fifth Edition Originally published in German by PPV Medien, Edition Bochinsky Ju¨rgen Meyer Bergiusstrasse 2A D‐38116 Braunschweig Germany
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[email protected] ISBN 978-0-387-09516-5 e-ISBN 978-0-387-09517-2 Library of Congress Control Number: 2008944095 # 2009 Springer Science+Business Media, LLC Translation of the latest (fifth) edition, originally published in German by PPVMedien GmbH, Edition Bochinsky, Bergkirchen. All rights reserved. This work may not be translated or copied in whole or in part without the written permission of the publisher (Springer Science+Business Media, LLC, 233 Spring Street, New York, NY 10013, USA), except for brief excerpts in connection with reviews or scholarly analysis.