Copyright by Trent William Hanna 2003 The Dissertation Committee for Trent William Hanna certifies that this is the approved version of the following dissertation: Concerto for Piano and Orchestra Committee: _________________________________ Kevin Puts, Supervisor _________________________________ Donald Grantham _________________________________ Russell Pinkston _________________________________ Stefan Kostka _________________________________ Thomas J. O’Hare Concerto for Piano and Orchestra by Trent William Hanna, B.M., M.M. Dissertation Presented to the Faculty of the Graduate School of The University of Texas at Austin in Partial Fulfillment of the Requirements for the Degree of Doctor of Musical Arts The University of Texas at Austin May 2003 Dedication My Concerto for Piano and Orchestra is dedicated to Dr. John Paul, my piano instructor for many years. Acknowledgements First, I would like to thank the members of my committee: Kevin Puts, Donald Grantham, Russell Pinkston, Stefan Kostka, and Thomas O’Hare. I am grateful for their patience. I would also like to thank Dan Welcher, with whom I studied composition for two years before starting my dissertation. It would be impossible to mention everyone who has supported me through this dissertation and degree. I would, however, like to thank Beth Hiser, David Diers, David Patton, Kyle Kindred, and Mike Vernusky for their friendship these past few years. Thanks also to Tanya Weisheit, who not only helped with proofreading the paper, but also showed her support in so many caring ways. Thanks to my grandfather and my father, Ray and John Hanna. They both received Doctoral degrees and I am proud to continue in this tradition. I would also like to thank my daughter, Symphony, for being as patient as a seven-year-old can be when her father is too busy completing his dissertation to play with her every waking hour (as I would prefer). Most importantly, thank you to my mother and step dad, Victoria and Joe Courtney, for their constant, loving support throughout my educational pursuits. v Concerto for Piano and Orchestra Publication No._____________ Trent William Hanna, D.M.A. The University of Texas at Austin, 2003 Supervisor: Kevin Puts The Concerto for Piano and Orchestra is a one-movement work. Symmetry and simple mathematical formulae are used throughout the work as compositional tools and structural framework. This dissertation consists of the full score for the concerto, followed by a discussion of the formal, symmetrical, thematic, and mathematical elements of the music. vi Table of Contents MUSICAL SCORE: CONCERTO FOR PIANO AND ORCHESTRA 1 ANALYSIS 62 Introduction .......................................................................................................62 Analysis.............................................................................................................65 Opening Section........................................................................................65 Rehearsal Letters A Through C .................................................................72 Rehearsal Letter A ...........................................................................72 Rehearsal Letter B ...........................................................................74 Rehearsal Letter C ...........................................................................76 Rehearsal Letter D.....................................................................................78 Rehearsal Letters E and F..........................................................................85 Rehearsal Letter E ...........................................................................85 Rehearsal Letter F ............................................................................86 Rehearsal Letter G.....................................................................................88 Rehearsal Letters H Through K .................................................................94 Rehearsal Letter H ...........................................................................94 Rehearsal Letter I .............................................................................94 Rehearsal Letter J ............................................................................94 Rehearsal Letter K ...........................................................................94 Rehearsal Letters L Through P ..................................................................96 Rehearsal Letter L ...........................................................................96 Rehearsal Letter M ..........................................................................97 Rehearsal Letter N ...........................................................................98 vii Rehearsal Letter O ...........................................................................98 Rehearsal Letter P ............................................................................98 Closing Section .........................................................................................99 Rehearsal Letter Q ...........................................................................99 Rehearsal Letter R .........................................................................100 Rehearsal Letter S ..........................................................................100 Rehearsal Letter T .........................................................................100 Rehearsal Letter U .........................................................................101 Rehearsal Letter V ..........................................................................101 Rehearsal Letter W .........................................................................101 Rehearsal Letter X ..........................................................................102 Rehearsal Letter Y ..........................................................................102 Rehearsal Letter Z ..........................................................................104 Rehearsal Letter AA ......................................................................105 Rehearsal Letter BB........................................................................105 Rehearsal Letter CC........................................................................106 Rehearsal Letter DD .......................................................................107 Conclusion ......................................................................................................108 Vita ................................................................................................................109 viii Concerto for Piano and Orchestra Score in C Trent Hanna (ASCAP) With Intensity h = 72 poco rit. Piccolo 1 Flute 2 1 Oboe 2 English Horn 1 Clarinet in Bb 2 3 1 Bassoon 2 Contrabassoon 1 Horn in F 2 3 Horn in F 4 1 Trumpet in Bb 2 3 1 Tenor Trombone 2 Bass Trombone Tuba 5 Timpani Percussion 1 Percussion 2 Percussion 3 Percussion 4 Harp MMLOMMMM Piano ff cadenza With Intensity h = 72 poco rit. Violin I Violin II Viola Violoncello Contrabass © 2003 Trent Hanna 1 h = 60 Pno. fff molto accel. Tam-Tam Perc. 2 pp Bass Drum Perc. 4 pp Pno. p p p f 2 Powerful q = 112 Senza misura 2 Picc. ff 1 Fl. 2 ff 1 Ob. 2 ff Eng. Hn. ff Cl. 1 ff 2 Cl. 3 ff stagger breathing 1 Bsn. 2 ff p stagger breathing Cbsn. ff p 1 Hn. 2 ff 3 Hn. 4 ff 1 Tpt. 2 3 ff stagger breathing Tbn. 1 p ff stagger breathing Tbn. 2 p ff stagger breathing B. Tbn. ff p stagger breathing Tba. ff p Timp. f p Anvil Perc. 1 ff Perc. 2 f Brake Drum Perc. 3 ff Perc. 4 f 5 5 6 7 cresc. Pno. (cadenza) f Powerful q = 112 Senza misura div. Vln. I ff div. Vln. II ff div. Vla. ff div. ( ) Vc. p ff div. ( ) Cb. ff p 3 1 Bsn. 2 Cbsn. Tbn. 1 Tbn. 2 B. Tbn. Tba. Timp. Tam-Tam Perc. 2 pp Bass Drum Perc. 4 pp 9 9 9 9 12 12 12 12 ff Pno. cresc. Vc. Cb. 4 (q = 112) Senza misura 5 Picc. ff 1 Fl. 2 ff 1 Ob. 2 ff Eng. Hn. ff Cl. 1 ff 2 Cl. 3 ff 1 Bsn. 2 ff p Cbsn. ff p 1 Hn. 2 ff 3 Hn. 4 ff 1 Tpt. 2 3 ff Tbn. 1 ff p Tbn. 2 p ff B. Tbn. ff p Tba. ff p Timp.