Many nineteenth-century theorists viewed triadic distance in terms of common tones and voice-leading proximity, rather than root consonance and mutual diatonic constituency. Audacious Euphony reconstructs this view and uses it as the basis for a chromatic model of triadic space, developing geometric representations from blueprints of Euler (1739) and Weitzmann (1853). The model renders coherent many passages of romantic music (e.g. of Schubert, Liszt, Brahms, Chopin, Wagner) that are disjunct from the standpoint of classical tonality. Semantic attributes commonly ascribed to romantic music are ... More

Many nineteenth-century theorists viewed triadic distance in terms of common tones and voice-leading proximity, rather than root consonance and mutual diatonic constituency. Audacious Euphony reconstructs this view and uses it as the basis for a chromatic model of triadic space, developing geometric representations from blueprints of Euler (1739) and Weitzmann (1853). The model renders coherent many passages of romantic music (e.g. of Schubert, Liszt, Brahms, Chopin, Wagner) that are disjunct from the standpoint of classical tonality. Semantic attributes commonly ascribed to romantic music are theorized as the result of incompatibilities between classical and romantic conceptions of triadic distance. The model generalizes to apply to relations among Tristan-genus seventh chords, due to their structural homologies with triads. At the heart of the approach is the observation that major and minor triads are minimal perturbations of perfectly even augmented triads, and that this property underlies their status as voice-leading optimizers. Consonant triads are thus overdetermined, as they are also independently the acoustic optimizers of classical theory. Both consonant triads and Tristan-genus seventh chords are homophonous diamorphs, whose syntactic behaviors and semantic qualities require two distinct theories, as well as a third one that reconciles them in a cognitively plausible way. Among the compositions treated analytically in Audacious Euphony are Schubert “Der Doppelgänger” and “Auf dem Fluße”, his sonatas D. 959 and 960, Chopin’s e-minor prelude, fantasy, and g-minor ballade, Schumann’s Dichterliebe, Liszt’s Consolation #3 and organ Kyrie, Rimsky-Korsakov’s Antar, Fauré’s Requiem, Brahms’s 1st and 2nd Symphonies, Wagner’s Parsifal, Bruckner’s 3rd Symphony, Dvorak’s New World Symphony, and Strauss’s “Frühling.”