Composition has been conceptualized as a method for communicating a way of thinking (i.e., cognition) from composers to performers and audience members. Music notation, or how music is represented in a visual format, becomes the vehicle through which such cognition is communicated. In the past, research on notation has been approached either categorically or as a taxonomy, where it is placed into separate categories based primarily on visual elements, including its symbols, conventions, and practices. The modern application of notation in Western classical music repertoire, however, has shown that the boundaries between these systems are not always clear and sometimes blend together. Viewing music notation from a spectrum-based approach instead provides a better understanding of notation through its cognitive effects. These spectra can then be viewed through multiple dimensions, all addressing different aspects. The first dimension consists of the historical systems of notation, ranging from standard music notation (SMN) to music graphics. Additional kinds of notation, such as proportional, pictorial, and aleatoric, work as the mediary levels between these two. The second dimension focuses on whether notation is processed intuitively, based on either cultural priming or general cognitive principles, or through conscious interpretation. The last dimension views notation as either …

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 …

This dissertation explores the use of topics for dramatic purposes in Mozart's Così fan tutte. The five analytical chapters are organized around a central question: how do pastoral and fanfare topics shape the plot of Così fan tutte? Chapter 2 highlights the role topics and tropes play in emplacing and nuancing emergent meaning in the Così fan tutte motto. Chapter 3 examines transformative topical tropes in "Ah guarda, sorella." Chapter 4 shows how the horn fifths and fanfare topics in "Per pietà, ben mio" frame Fiordiligi's choice: the Albanian or Guglielmo. Chapter 5 illustrates the relationship between fanfare topics and galant recitative schemas to articulate formal boundaries between accompanied recitatives and arias. The expectations of closure emplaced by the examples from Così fan tutte nuance a reading of "Hai già vinta la causa!" from Le nozze di Figaro. Chapter 6 discusses the role of recitative intrusions and their articulation of the Count's unrest in "Vedrò mentre io sospiro." Detailed analyses and close readings of the topics and tropes in this dissertation drawn from throughout Così fan tutte showcase Mozart's rich deployment of topics in varied musical and dramatic roles.