AUSTIN CLARKSON EDITOR ASSOCIATE EDITORS: Jon Appleton Jamie Croy Thomas Day Michael Griffel Walter Hilse David Josephson Raoul Orceyre, S.J. Margaret Ross Libby Rubin Cheryl Seltzer Robert Willis Neal Zaslaw Mildred Shapiro EXECUTIVE SECRETARY ASSISTANT EDITORS: 'I I i I I ASSISTANTS: I ' lward A. Lippman Paul Helmer Amy Kaiser Nancy Miller Mary Obelkevich William Payne Mary Peckham Rose Rosengard Tom Frenkel, Anne Frothingham, Ann Unterecker, Judith Zessis FACULTY ADVISOR Copyright © 1967, Department of Music Columbia University, New York Printed in Great Britain CORRESPONDING EDITORS Domestic Sylvia Crawford Rufus Hallmark ·Harriet Franklin Daniel L. Farber William K. Gallo David Sommerfield Mrs. Wade Hampton Mrs. Bea Friedland Rose Rosengard David Graham ·Edward E. Swenson Ernest Harriss William T. Hopkins Eric Van Tassel John Carroll Collins Robert Lowry Richard A. Kramer Floyd G. Sumner Bruce Carr 'Beye Fyfe William Mahar Claus Sadlier, Jr. Daniel Coren John W. Baker Charles A. 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PUBLISHED The Music Department UNDER THE AEGIS OF COLUMBIA UNIVERSITY New York RICHARD L. CROCKER PATRICIA CARPENTER EVENTS 5 Musicological method 10 American graduate schools, Part I 41 Reports from England 47 Announcements ARTICLES 49 Musicology and the musical composition 50 . Some reflections on the shape of music 56 The musical object Responses 87 LEO TREITLER 94 RUDOLF ARNHEIM 96 RUTH HALLE ROWEN 101 EDWARD T. CONE 107 BERNARD STAMBLER 112 DAVID BURROWS REPORTS BRUCE CARR 117 Report from Buffalo: The third inter- national Webern festival JOHN H. BARON 119 Report from Leipzig: Congress of the Gesellschaft fur Musikforschung DISSERTATIONS ARTHUR HILLS 123 Michael Bruce Collins The performance of coloration, ses- quialtera, and hemiolia (1450-1750) MICHAEL COLLINS 128 Reply to Arthur Hills ARNOLD SALOP 130 Donald M. Mintz The sketches and drafts of three of Felix Mendelssohn's major works JOHN 138 Mayer Joel Mandelbaum Multiple division of the octave and the tonal resources of 19-tone temperament MATT C. HUGHES 143 Reply to Michael Kassler MICHAEL KASSLER 144 Reply to Matt C. Hughes 146 Dissertations from abroad BIBLIOGRAPHIA GARY BERLIND 149 Griphos: an interim report 153 MLA publications