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THE INTERACTION OF LINEAR AND VERTICAL TIME IN MINIMALIST AND POSTMINIMALIST PIANO MUSIC A DISSERTATION IN Performance Presented to the Faculty of the University of Missouri-Kansas City in partial fulfillment of the requirements for the degree DOCTOR OF MUSICAL ARTS by RICHARD ANDREW LEE B.M., Truman State University, 2004 M.M., University of Missouri-Kansas City, 2006 Kansas City, Missouri 2010 © 2010 RICHARD ANDREW LEE ALL RIGHTS RESERVED THE INTERACTION OF LINEAR AND VERTICAL TIME IN MINIMALIST AND POSTMINIMALIST PIANO MUSIC Richard Andrew Lee, Candidate for the Doctor of Musical Arts Degree University of Missouri-Kansas City, 2010 ABSTRACT Minimalist compositions thwart most attempts at analysis given their remarkable simplicity. Moreover, minimalist works are deliberately non-manipulative in order to allow the listener freedom in constructing his or her own experience. For formalist analysis of this music to be of value, it must account for this freedom while simultaneously explaining beyond mere description, a duality which can be achieved by incorporating musical time. Jonathan Kramer describes minimalist compositions as existing in vertical time, an almost eternal present. This notion does much to explain the general listening experience, but fails to accommodate the variety found in minimalism. Instead, it is best to see in this genre that an interaction between the musical elements that create vertical time and those that create linear time establishes the musical time of each piece. This dissertation explores minimalist music's manipulation of time through brief analysis of Terry Riley's Keyboard Study no. 1, Steve Reich's Piano Phase, and Philip Glass's Two Pages. While all three pieces create an overall sense of vertical time, linear time is also present, particularly at the local level, with each composition creating a unique iii temporal experience. The concepts established are then expanded to a full analysis of Tom Johnson's An Hour for Piano, which not only has interaction between the different species of musical time, but also interacts with objective time and varieties of psychological time. The implications of this theoretical approach are even more significant for postminimalist music. As postminimalist composers combined minimalism with a variety of other influences, linear time became more prominent but did not completely overwhelm the sense of vertical time. Instead, postminimalist music tends to create a hybrid between the two, a conclusion that helps justify and clarify the use of the term "postminimalist." This clarity is demonstrated through brief analysis of pieces by William Duckworth, Peter Garland, Beth Anderson, James Sellars, and Paul Epstein. A full analysis of David Borden's Double Portrait then shows the full potential of this approach as the piece begins in near- vertical time and ends in linear time. iv The faculty listed below, appointed by the Dean of the Conservatory of Music and Dance, have examined a dissertation titled "The Interaction of Linear and Vertical Time in Minimalist and Postminimalist Piano Music," presented by Richard Andrew Lee, candidate for the Doctor of Musical Arts degree, and hereby certify that in their opinion it is worthy of acceptance. Supervisory Committee S. Andrew Granade, Ph.D., Committee Chair Conservatory of Music and Dance William Everett, Ph.D. Conservatory of Music and Dance John McIntyre, M.M. Conservatory of Music and Dance Diane Petrella, D.M.A. Conservatory of Music and Dance Reynold Simpson, D.M.A. Conservatory of Music and Dance v CONTENTS ABSTRACT ..................................................................................................................... iii LIST OF MUSICAL EXAMPLES .................................................................................. ix LIST OF TABLES .......................................................................................................... xii ACKNOWLEDGEMENTS ........................................................................................... xiii PREFACE ........................................................................................................................ xv Chapter 1. INTRODUCTION ............................................................................................. 1 Postminimalism ......................................................................................... 5 Time ......................................................................................................... 10 Linear Time .............................................................................................. 11 Vertical Time ........................................................................................... 15 Vertical Time and Minimalism ................................................................ 17 Time and Postminimalism ....................................................................... 21 2. LINEAR AND VERTICAL TIME IN MINIMALISM .................................. 25 Sources of Vertical Time ......................................................................... 26 Terry Riley's Keyboard Study no. 1 ......................................................... 30 Steve Reich's Piano Phase ....................................................................... 35 Philip Glass's Two Pages ......................................................................... 45 Conclusions .............................................................................................. 50 3. TOM JOHNSON'S AN HOUR FOR PIANO ................................................... 52 Overview of An Hour for Piano .............................................................. 53 vi Vertical Time ........................................................................................... 57 Melodic Sources of Linear Time ............................................................. 66 Harmonic Basis of Primary Themes ........................................................ 70 Form and Linear Time ............................................................................. 74 Protracted Duration, Temporal Compression, and Synchronicity ........... 79 Conclusions .............................................................................................. 82 4. LINEAR AND VERTICAL TIME IN POSTMINIMALISM ........................ 85 Rhythm and Meter ................................................................................... 86 Melodic Implications ............................................................................... 91 Harmonic Implications ............................................................................ 99 Form ....................................................................................................... 104 Conclusions ............................................................................................ 110 5. DAVID BORDEN'S DOUBLE PORTRAIT .................................................. 112 Section One ............................................................................................ 113 Section Two ........................................................................................... 118 Section Three ......................................................................................... 122 Sections Four and Five .......................................................................... 125 Coda ....................................................................................................... 128 6. CONCLUSIONS ........................................................................................... 132 Appendix A. BRIEF BIOGRAPHICAL INFORMATION OF POSTMINIMALIST COMPOSERS ........................................................................................ 141 B. MAJOR INSTANCES OF EACH THEME IN AN HOUR FOR PIANO .... 146 vii C. PROGRAM NOTES FOR AN HOUR FOR PIANO ..................................... 148 D. ANALYSIS OF THE RHYTHMIC GROUND IN THE TIME CURVE PRELUDES, IX ...................................................................................... 159 E. FURTHER ANALYSIS OF PAUL EPSTEIN'S INTERLEAVINGS "PARAPHASE: (3x2)x5, 7" .................................................................. 161 F. INTEVIEW WITH DAVID BORDEN ......................................................... 166 BIBLIOGRAPHY .......................................................................................................... 171 VITA .............................................................................................................................. 176 viii MUSICAL EXAMPLES Example 1.1 W. A. Mozart's Sonata in A Major, K 331, measures 1-8 ............................ 12 2.1. Terry Riley's Keyboard Study no. 1 modules 1-2, 7-8, and 11-12 ............... 31 2.2. Keyboard Study no. 1, realized combination of modules 5 and 16 ............. 34 2.3. Keyboard Study no. 1, realized combination of modules 8 and 15 ............. 35 2.4. Steve Reich's Piano Phase, analysis of section one .................................... 41 2.5. Piano Phase, analysis of section two ........................................................... 42 2.6. Piano Phase, analysis of section three ......................................................... 42 2.7. Philip Glass, Two Pages, measures 1-4 ....................................................... 47 2.8. Two Pages, measures 15-16 ......................................................................... 48 2.9. Two Pages, measures 21-22 ........................................................................