One problem in tuba performance is the use of a mute for the tuba. With no research existing a tubist has two methods with which to gain knowledge about mutes; he can learn by trial and error or he can consult a tubist having more experience with the problem. A source is needed to aid a tubist in locating information on mutes for tuba. By learning more about the uses of mutes, the availability of mutes, and the effects of mutes on tuba performance, a tubist will be better equipped to select a mute for personal use. This study is designed to provide, objectively, that knowledge to the tubist.

The present study does not attempt to present a complete or exhaustive survey of the myriad spatial orchestrational devices occurring in the symphonic and operatic repertoire. Rather, the study is limited to an examination of the specified use of the trumpet as an offstage instrument in selected representative works. The study's purpose is to identify trends in the use of this orchestrational device, to serve as an aid to the trumpeter in matters of interpretation, and to provide a practical reference for the solution of acoustical and technical problems common to the performance of spatially conceived music in the orchestral literature.

Christian Wolff's alternatively notated scores grant the performer several interpretive choices. These pieces feature symbols (known as "coordination neumes") that instruct performers when to begin and end a sound event in relation to the sounds being made around them, thereby generating a reactive improvisation between the musicians. Among these scores are five compositions that form the basis of this project: For 5 or 10 People (1962), In Between Pieces (1963), For 1, 2, or 3 People (1964), Septet (1964), and Edges (1968). Focusing on these pieces specifically, this dissertation explores the unique performance practices required by Wolff's indeterminate music and contextualizes that music within his career in classics and comparative literature, particularly with regard to the concept of translation, and within his creative communities. These creative communities include his fellow New York School composers, New York's wider downtown artistic scenes in the 1950s and 60s, and the experimental music scenes at Cologne and Darmstadt. While scholars such as David Behrman, Thomas DeLio, and Mark Nelson have addressed the interactive quality of Wolff's notation and the technical skills needed to execute his pieces, I argue that there are deeper processes at work in these compositions that go beyond typical discussions of …