Abstract
Long before I was a composer, I was a listener. Listening has always shaped my compositional decisions, and it has always been the primary influence on the evolution of my compositional techniques. The intense investigation of the nature of listening-in particular, trying to compre hend how I understand the music that I hear-has most powerfully molded the way that I write music. The music I like to hear is music that surprises and beguiles me. It is music that is unpredictable and volatile, and that resists easy categoriza tion. While the immediate features of the music I write intentionally em body the above qualities, I am deeply concerned with establishing a subtle, underlying continuity in my works. Specifically, I seek to imbue my com positions with a sense of harmonic relatedness. One way in which I achieve this is by imposing limitations on ways in which the pitch materials are organized. In tonal music, the perception of harmonic relatedness is linked to several phenomena: fixed intervallic structures of scales, invariant pitch class content within each individual scale, and different harmonic func tions of scale degrees and chords in tonal progressions. My music, which is atonal and chromatically saturated, does not maintain the invariant pitch-class content of scales, nor does it exhibit the harmonic functions characteristic of progressions in tonal music.! What my harmony does share with tonal music, however, is interval-class invariance. In tonal music, one can modulate from one key to another and maintain a sense of harmonic relatedness. While some tonal modulations result in little pitch-class duplication between keys, these keys are still harmonically related, due to the invariant interval vector of identical pitch-class set types that comprise their respective diatonic scales. A harmonic relation that results from shared intervallic properties of pitch-class set types informs the harmonic organization of my music. Harmonic relatedness is achieved through the articulation of parametrically defined musical seg ments comprised of identical unordered pitch-class set types and their unordered subsets or supersets. My works explore microtonal harmony, using an aggregate that divides the octave into twenty-four equidistant pitch classes. A twenty-four pitch class octave, notated in quarter tones, facilitates my use of set-theoretical techniques (adjusted to mod 24).2 Composing for acoustic instruments in
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