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作者 Plotkin, Richard James
書名 Transforming transformational analysis: Applications of Filtered Point-Symmetry
國際標準書號 9781124049212
book jacket
說明 170 p
附註 Source: Dissertation Abstracts International, Volume: 71-07, Section: A, page:
Adviser: Lawrence Zbikowski
Thesis (Ph.D.)--The University of Chicago, 2010
Filtered Point-Symmetry is a tool for manipulating iterated maximally even sets over time. The dissertation explores how this tool affects our conception of musical networks and related analytical techniques. Initially, a diatonic network is created from triadic nodes connected to each other through parsimonious and stepwise transformations, where the transformations themselves result solely from iterated maximally even operations. The operations used to create the network are carried into an analysis of Chopin's E Major Prelude (op. 28, no. 9) to demonstrate how this approach results in a linear transformational model for diatonic music. The dissertation then redefines voice-leading parsimony and maximal smoothness as concepts grounded in, and subsequently broadened by, their relationship to maximal evenness. This reconceptualization is used to introduce a coherent analogue to neo-Riemannian parsimony for all forms of diatonic triads. The scope of the dissertation then extends to the examination of tetrachords, and a diatonic tetrachordal analogue to the prior triadic network is introduced. Finally, the concept of evenness -- the cornerstone of Filtered Point-Symmetry -- is re-examined, and a more generalized application of the theory allows for the creation of relatively even sets and the exploration of unconventional tonal networks called "hybrid parsimonious spaces." The application of such a space is used in an analysis of the prelude from Tristan und Isolde
School code: 0330
Host Item Dissertation Abstracts International 71-07A
主題 Mathematics
Alt Author The University of Chicago. Music
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