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A Transformational Space Structuring the Counterpoint in Adès’s “Auf dem Wasser zu singen”
transformational theory Thomas Adès David Lewin counterpoint musical space animation octatonic hexatonic
2010/3/24
The third movement of Thomas Adès’s string quartet Arcadiana features a complex, free textural counterpoint that seems resistant to the transformational analysis of the common sort that focuses, as do...
Moving Through Triadic Space: An Examination of Bryars’s Seemingly Haphazard Chord Progressions
transformational theory triadic progressions UTT simply transitive generalized interval system Julian Hook Gavin Bryars
2010/3/24
Using Julian Hook’s theory of Uniform Triadic Transformations as a point of departure, I construct a network in which the “distances” between major and minor triads may be measured and progressions ma...
An Interactive Trichord Space Based on Measures 18–23 of Clermont Pépin’s Toccate no. 3
transformational theory Québécois composers Canada
2010/3/24
Clermont Pépin’s Toccate no. 3, a work for piano composed in 1961, features extensive repetition and sequencing through the development of smaller atonal intervallic motives. Measures 18–23, in partic...
Body, Forces, and Paths: Metaphor and Embodiment in Jean-Philippe Rameau’s Conceptualization of Tonal Space
metaphor Rameau analysis harmonic theory Mark Johnson George Lakoff cognitive science Roger Scruton tonal motion linguistic theory embodied meaning image schema mental representation discourse
2010/3/24
Studies by George Lakoff and Mark Johnson in the field of cognitive linguistics give rise to a theory of meaning that bestows a central role on metaphorical thinking and the body. This essay explores ...
An Algorithm for the Direct Generation of Set Class Representatives in Any Pitch Class Space
equivalence class generation set class representatives orderly algorithm
2010/3/29
When spaces with greater than 20 pitch classes are considered, the problem of
generating equivalence classes (set classes) with respect to operations like transposition and
inversion becomes incre...
Interval-Classes and Psychological Space
interval-class similarity atonal music empirical studies multidimensional scaling music cognition music psychology
2010/3/29
Multidimensional scaling (MDS) analysis was applied to data on interval similarity (confusability) obtained in a study to help improve aural skills pedagogy. A three-dimensional geometric configuratio...