Geometries, for clarinet, violin, cello, and piano, is a two-movement work in which I use musical lines to imitate simple geometric ideas. The first movement, Fractals, begins structured as a hybrid of a fugue and a canon, where the theme is imitated simultaneously at the same pitch and at different pitches. It is first stated with the clarinet leading the right hand of the piano, then with the cello leading the left hand of the piano, and finally with the violin leading the right hand of the piano. Eventually, an acceleration in the texture yields a grand statement of the theme, with the violin soaring above. The material used in this movement is extremely economical, consisting of little more than the single theme, but through its saturation and recursion, it is able to spin itself into a wide variety of shapes and textures.
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