Master of Music (MM), Bowling Green State University, 2010, Music Theory
The complexity of atonal musical structures has led theorists to offer varying analyses of atonal works. This ambiguity stems from the intricacies of human perception: Is it possible to state a definitive analysis when perceptions differ? In order to justify a segmentation, the analyst must provide supporting evidence in the music. Due to the wide range of perception, this evidence yields analyses that are more or less persuasive, but neither correct nor incorrect. David S. Lefkowitz and Kristin Taavola, however, propose a mathematical model that defines a correct segmentation.
This thesis briefly compares Lefkowitz and Taavola's mathematical theory to James Tenney and Larry Polansky's perception-based theory. Tenney and Polansky's theory is rooted in visual Gestalt perception and provides the foundation for Dora A. Hanninen's segmentation theory. I then employ Hanninen's analytical framework to identify segmentational boundaries that support published analyses of two atonal works: the fourth of Anton Webern's Funf Satze, Op. 5 and an excerpt from Arnold Schoenberg's Klavierstucke, Op. 11, No. 1. I apply two of Hanninen's three segmentational criteria: the sonic, which refers to acoustical properties, and the contextual, which refers to categorizations, such as set-classes.
Lefkowitz and Taavola note that Tenney and Polansky's theory cannot be applied to polyphony. Although Tenney and Polansky concede this point, Hanninen encourages the use of her theory for polyphonic segmentation. She does not, however, provide a method for addressing polyphony. Thus, I combine aspects from Lefkowitz and Taavola's simultaneous analysis with Hanninen's theory in order to formulate a basic method for segmenting polyphonic music.
I find that sonic and contextual criteria in the music strongly support the analyses by George Perle, Allen Forte, Gary Wittlich, and Charles Burkhart. Due to the emphasis of set-class theory for atonal analysis, there is an inherent reliance on contextual c (open full item for complete abstract)
Committee: Per F. Broman PhD (Committee Chair); Gene Trantham PhD (Committee Member)
Subjects: Music