One of the difficulties of nineteenth-century form studies is ambiguity in ascertaining which formal types are at work and in what ways. This can be an especially difficult problem when multiple formal types seem to influence the construction of a single composition. Drawing on some recent innovations in form studies proposed by Steven Vande Moortele, Janet Schmalfeldt, and Caitlin Martinkus, I first develop a set of analytical tools specifically made for the analysis of sonata/variation formal hybrids. I then refine these tools by applying them to the analysis of two pieces. Chopin's Fourth Piano Ballade can be understood from this perspective as primarily following the broad outlines of a sonata form, but with important influences from the recursive structures of variation forms; Franck's Symphonic Variations, on the other hand, are better viewed as engaging most of all with multiple variation-form paradigms and overlaying them with some of the rhetorical and formal structures of sonata forms. I conclude with a brief speculation on some further, more general applications of my methodology.

Gustav Mahler's Seventh Symphony seems to belie traditional notions of symphonic unity in that it progresses from E minor in the first movement to C major in the Finale. The repertoire of eighteenth and nineteenth century composers such as Haydn, Beethoven, and Brahms indicates that tonal holism is a significant factor for the symphonic genre. In order to reconcile Mahler's adventurous key scheme, this dissertation explores a multidimensional harmonic model that expands upon other concepts like Robert Bailey's double-tonic complex and transformation theory. A multidimensional musical object is a nexus of several interconnected chords that occupy the same functional space (tonic, dominant, or subdominant) and can be integrated into a Schenkerian reading. Mahler's Seventh is governed by a three-dimensional tonic object that encompasses the major and minor versions of C, E, and A-flat and the augmented triad that is formed between them. The nature of this multidimensional harmony allows unusual formal procedures to unfold, most notably in the first movement's sonata form. To navigate this particular sonata design, I have incorporated my own analytical terminology, the identity narrative, to track the background harmonic events. The location of these events (identity schism, identity crisis, and identity reclamation) is critical to the …