Hans Abrahamsen's Winternacht: Reflections on an Etching by M. C. Escher by Kevin Ernste Submitted in Partial Fulfillment of the Requirements for the Degree Doctor of Philosophy Supervised by Professor Martin Scherzinger Professor Allan Schindler Department of Music Composition Eastman School of Music University of Rochester Rochester, New York 2006 ii Curriculum Vitae Kevin Ernste was born in Fairfax, Virginia on September 13th 1973 and was raised in Rochester, Minnesota. He attended The University of Wisconsin–Madison from 1992 to 1997 where his primary composition teacher was Stephen Dembski, completing a Bachelor of Music degree in Music Composition in May of 1997. He came to the University of Rochester's Eastman School of Music in the Fall of 1998 to begin graduate studies in Music Composition. His primary teachers at Eastman were Robert Morris and Allan Schindler in addition to studies with Sydney Hodkinson, Augusta Read-Thomas, and Joseph Schwanter. He completed the Master of Arts degree in Music Composition in 2004 with a thesis piece entitled To Linger Still for sinfonietta and a paper entitled “A Composer's Open Toolkit: Promise, Design, and Implementation”. Beyond graduate studies he has taught composition and electronic music at the Eastman Computer Music Center and most recently as faculty at Cornell University in Ithaca, New York. iii Acknowledgments I would like to acknowledge the input and support of various individuals in the preparation of this thesis including Martin Scherzinger whose own work serves as a constant example of excellence. In addition I have received invaluable advice and insights from Allan Schindler, Ricardo Zohn-Muldoon, Carlos Sanchez-Gutierrez, and Aaron Travers, but particularly from my friend and mentor Robert Morris whose extraordinary support and guidance made this document possible. Finally I acknowledge the support and self-sacrifice of my wife Annette, my daughter Adowyn, my parents, brothers, and sister. iv Abstract This thesis examines the metaphoric and harmonic compositional world of Hans Abrahamsen's Winternacht, one constructed through associations of sometimes conflicting, other times interrelated, often externally referenced materials. Movements I and II are analyzed in some detail exploring Abrahamsen's meticulous pitch and rhythmic constructions and his inter-referential musical, visual, and poetic imagery. Both of these features are carefully integrated so their apparent contradictions are resolved in a space between them where Abrahamsen's musical identity lives. v Table of Contents Section Title Page I. Introduction 1 II. New Simplicity and the New Danes 7 III. Winternacht 10 VI. Analysis: Movement I 10 Analysis: Movement II 29 Conclusion 37 Bibliography 40 Appendix A 42 Appendix B 48 Score Katafala for marimba and percussion ensemble 1 vi List of Examples Example # Title Page Example 1 Drei Welten (“Three Worlds”), 1955, M.C. Escher. 3 Example 2 Sectional design of Winternacht Movement I 4 Example 3 Violin and cello from Movement I, section 4 and Movement III, opening. 5 Example 4 Movement I, section 5 and Movement IV. 6 Example 5 A beginnings of a Norgard's infinity series. 11 Example 6 One 4-note segment, flute part measure 1. 12 Example 7 Half-step descent between voice segments. 13 Example 8 Larger organization of four-note segments, measures 1-10. 15 Example 9 Axis symmetry of the entire opening, measures 1-10. 14 Example 10 Interval-proportional durations, opening flute music, measure 1. 15 Example 11 Three voices by rhythmic proportions; [013] vertical relations. 15 Example 12 Resultant melodic pattern heard in opening two measures. 16 Example 13 Opening measures of Berg's Fünf Orchester-Lieder Op. 4. 17 Example 14 Cello line outlines [013] set-classes, measures 3-6. 18 Example 15 [013] saturation in the violin and cello, measure 8. 18 Example 16 Two consecutive ^5-line segments in the flute at Letter A. 19 Example 17 End tones outline the E-type hexachord. 20 Example 18 Triads in the ^5-line decent map the all combinatorial E-type hexachord. 20 Example 19 Two inversional voices, clarinet and cello in measure 18-19. 21 Example 20 Expansion of the two inversional voices, flute and cello. 21 Example 21 The viola manipulates Ab/G axis, mm. 22-24. 22 Example 22 The Winternacht chord from Movement I. 23 Example 23 The Winternacht chord at end in Movement III. 24 Example 24 Descent toward the Winternacht chord. 25 Example 25 The W-chord as a sonority. 25 vii List of Examples (continued) Example # Title Page Example 26 Flute music in section 3. 26 Example 27 Flute and horn in inversion with internal symmetries. 26 Example 28 The E-type hexachord as overlapped triads overlayed on the W-chord structure. 27 Example 29 The tone-row from Alban Berg's Violin Concerto. 27 Example 30 Minor ninth and resolution, Beethoven's Moonlight Sonata. 30 Example 31 Comparison of the notes from Beethoven's “Moonlight Sonata”, mm. 15-17 32 and the W-chord. Example 32 Augmented 6th chord from the“Moonlight Sonata” (left) and opening lydstyrt tones (right) 32 Example 33 Violin outlines symmetrical expansion to C# and Ab, mm. 9-12. 32 Example 34 Die Forelle, two versions. 33 Example 35 Generalizing rubato. 34 Example 36 Collapse chord, measure 26, Movement II. 35 Example 37 Three new voices, all major triads. 35 Example 38 A final lydstyrt with triads horizontally and vertically, mm.28-32. 36 Example 39 Final bars of Winternacht Movement II. 36 Example 40 Preceding the last cadential figures, Moonlight Sonata, measures 61-62. 37 Example 41 Detail from M.C. Escher's Liberation. 39