Syntactic Interaction and the Convertible Tonnetz
Syntactic Interaction and the Convertible Tonnetz
Chapter 8 develops an integrated model of classical and pan-triadic syntax. It begins by reviewing and evaluating earlier models of Lewin, Hyer, Cohn, Rings, and Brower. It then proposes a new model whose central feature is the convertible Tonnetz. Under diatonic tonality, a region of the Tonnetz is encapsulated by a parallelogram, and a set of familiar semantic qualities are activated, such as “magnetism,” “summoning,” “desire,” etc. Local chromaticism involves rapid visits to adjacent extra-mural regions; modulation involves dismantling the capsule and reassembling it at a different location. Pan-triadic syntax replaces the parallelogram with alleys along an axis, or a hexagonal capsule, or transforms the Tonnetz into an open field without walls. Liszt’s Db Consolation is an analytic touchstone throughout the chapter. Concluding analyses are the Faith Proclamation from Parsifal and an excerpt from the finale of Brahms’s First Symphony.
Keywords: liszt Consolation, wagner, parsifal, brahms, lewin, hyer, rings, brower, convertible Tonnetz
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