A transformational approach to inversional relations
Item
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Title
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A transformational approach to inversional relations
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Identifier
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d_2009_2013:3bc867c613dc:10005
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identifier
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10098
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Creator
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Park, Ina,
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Contributor
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Shaugn O'Donnell | Joseph Straus
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Date
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2009
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Language
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English
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Publisher
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City University of New York.
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Subject
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Music | inversion | Klumpenhouwer | networks | symmetry | transformational
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Abstract
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Inversion has been explored as an essential device in post-tonal music and discussed in the relevant literature. In particular, many music theorists have demonstrated that inversional symmetry plays a significant role in the music of Bartok, which often includes inversional relations on the musical surface. In many other musical works, however, inversion, or symmetrical inversion, is often ambiguous and not immediately apparent; thus its role is easily overlooked or underestimated. This dissertation argues that inversion may play an important role in pitch organization within a piece or a passage of post-tonal music. Significantly, since inversional relations can more effectively be analyzed by using a transformational approach, at both foreground and background levels, the bulk of this dissertation is thus based in such a transformational approach.;Chapter 1 outlines many different methods for defining and illustrating pitch and pitch-class inversion as provided in the analytic literature. Chapter 2 examines symmetrical inversion as it appears in Klumpenhouwer networks which transform into each other among twelve index-zones. This chapter also introduces new axial isographies for tetrachords. Chapter 3 explores inversional relations between pitch-class sets of different sizes, i.e., a trichord and a tetrachord, which are often the important groupings in post-tonal music. Chapter 4 presents specific aspects of symmetrical inversion suggested in Perle's theory of twelve-tone tonality and in his music.
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Type
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dissertation
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Source
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2009_2013.csv
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degree
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Ph.D.
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Program
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Music
