Reference to a regular pulse is one of the most common ways of measuring time in music. As the basis for tempo, meter, subdivisions, and even formal symmetry, pulse, or the sonic articulation of regular units of time, is found throughout all levels of music. In this paper, I describe how I used a structure of twelve simultaneous pulses to compose "Monolith," a recent piece for MIDI piano, Pierrot ensemble, and fixed electronics. In the first chapter, I contextualize "Monolith" by briefly examining pulse's relationship to hierarchical structure in music and the possibilities for creativity in pulse-based hierarchical structures. In the second chapter, I analyze the use of pulse in Steve Reich's "Music for 18 Musicians," György Ligeti's "Self-portrait with Reich and Riley (with Chopin in the background), and Conlon Nancarrow's "Study No. 36 for Player Piano." In the third chapter, I describe in detail the relationship between the twelve-pulse structure and the various movements that comprise "Monolith," focusing on the relationship between compositional freedom and prescribed structure throughout the work.