Music and Twentieth-Century Tonality: Harmonic Progression Based on Modality and the Interval Cycles

177 Pages·2012·2.23 MB·English

by  Paolo Susanni

Music and Twentieth-Century Tonality
Routledge Studies in Music Theory
1 Music and Twentieth-Century
Tonality
Harmonic Progression Based on
Modality and the Interval Cycles
Paolo Susanni
and Elliott Antokoletz
Music and Twentieth-Century
Tonality
Harmonic Progression Based on
Modality and the Interval Cycles
Paolo Susanni and Elliott Antokoletz
NEW YORK LONDON
First published 2012
by Routledge
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Simultaneously published in the UK
by Routledge
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© 2012 Taylor & Francis
The right of Paolo Susanni and Elliott Antokoletz to be identified as author
of this work has been asserted by them in accordance with sections 77 and
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Library of Congress Cataloging-in-Publication Data
Susanni, Paolo, author.
Music and twentieth-century tonality : harmonic progression based on
modality and the interval cycles / Paolo Susanni and Elliott Antokoletz.
pages cm — (Routledge studies in music theory ; 1)
Includes bibliographical references and index.
1. Music—20th century—Analysis, appreciation. 2. Musical
analysis. I. Antokoletz, Elliott, author. II. Title. III. Series:
Routledge studies in music theory ; 1.
MT6.S87 2012
780.9'04—dc23
2011049874
ISBN: 978-0-415-80888-0 (hbk)
ISBN: 978-0-203-11929-7 (ebk)
Typeset in Sabon by IBT Global.
To the Susanni and Antokoletz families

Contents
List of Tables and Figures ix
Preface xi
Acknowledgments xvii
1 General Concepts 1
2 Interval Cycles 21
3 Compound Cyclic Collections 43
4 Inversional Symmetry and the Axis Concept 63
5 Modes 81
6 Modal/Cyclic Relationships 102
7 Harmonic Structures, Pitch Cells, and Cyclic Tetrachords 128
Notes 147
Bibliography 153
Index to Compositions 155
General Index 157

Tables and Figures
FIGURES
1.1 Webern, Piano Piece Op. Posth. (mm. 1–5). 5
1.2 Debussy, La Cathédrale engloutie (mm. 1–2). 6
1.3 Messiaen, Le baiser de l’Enfant-Jesus (mm. 39–44). 9
1.4 Schoenberg, Three Piano Pieces Op. 11, No.1 (mm. 1–3). 10
1.5 Crumb, Spiral Galaxy fi rst “A” section. 17
1.6 Crumb, Spiral Galaxy fi rst “B” section. 18
1.7 Crumb, Spiral Galaxy “C” section. 19
2.1 Ligeti, Cordes à vide (mm. 1–4). 28
2.2 Bartók, Study No. 1 (mm. 107–114). 31
2.3 Bartók, Suite Op. 14 (mm. 1–8). 33
2.4a Lutoslawski, Étude (mm. 1–3). 35
2.4b Lutoslawski, Étude (mm. 5–6). 35
2.5 Ives, Psalm XXIV (mm. 1–4). 40
2.6 Ives, Psalm XXIV (mm. 23–24). 41
3.1 Ives, Psalm XXIV (mm. 16–19). 53
3.2 Takemitsu, Rain Tree Sketch (mm. 1–6). 54
3.3 Busoni, Sonatina Seconda (mm. 1–4). 56
3.4 Muszynski, Toccata Op. 15 (mm. 1–7). 58
3.5 Ginastera, Piano Sonata No. 1, Mvt. II. (mm. 25–31). 61
4.1 Bartók, Bagatelle No. 2 (mm. 1–6). 68
4.2a Debussy, Voiles (mm. 1–2). 70
4.2b Debussy, Voiles (mm. 5–9). 70
4.3 Bartók, The Night’s Music (m. 1). 71
4.4 Ives, Psalm XXIV (mm. 16–18). 75
4.5 Bartók, Mikrokosmos No. 141, Subject and Refl ection (mm.
1–3). 76
4.6 Penderecki, Threnody to the Victims of Hiroshima. 79