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Audacious EuphonyChromatic Harmony and the Triad's Second Nature$
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Richard Cohn

Print publication date: 2012

Print ISBN-13: 9780199772698

Published to Oxford Scholarship Online: May 2012

DOI: 10.1093/acprof:oso/9780199772698.001.0001

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Navigating the Triadic Universe: Three Compositional Scripts

Navigating the Triadic Universe: Three Compositional Scripts

Chapter:
(p.111) Chapter Six Navigating the Triadic Universe: Three Compositional Scripts
Source:
Audacious Euphony
Author(s):

Richard Cohn

Publisher:
Oxford University Press
DOI:10.1093/acprof:oso/9780199772698.003.0006

Chapter 6 presents three analytic scripts for navigating the triadic universe, and shows how those scripts and their compositional instantiations are represented using the concepts and geometries introduced in chapter 5. The first script involves retention of a single tone, varying the harmonies that support it. Der Dopplenganger and the development of Brahms 2nd Symphony illustrate. The second script involves a downshift/upshift sequence, sometimes with an overshoot requiring recuperation, generalizing prototypical Riemann-functional scripts. Schubert’s Auf dem Flusse, Liedesend, and Bb piano sonata, and a short organ work of Liszt, illustrate. The third script involves a continuous upshift, illustrated by the long-range tonal structure of Schumann’s Dichterliebe and the local harmonic progression of the development section of Dvorak’s New World Symphony.

Keywords:   doppelgänger, auf dem Flusse, new World Symphony, brahms, dvorak, liszt, continuous upshift, harmonic function

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