PhD, University of Cincinnati, 2018, College-Conservatory of Music: Theory
This dissertation is the first comprehensive study of the harmonic theories of German composer and music theorist Sigfrid Karg-Elert (1887–1933), whose two major treatises date from the early 1930s. The dissertation's subtitle highlights the four principal components of Karg-Elert's theoretical project: its three-dimensional just intonation pitch space, and its acoustic derivation; its expansion of Hugo Riemann's function theory, encompassing a variety of fifth-, third- and seventh-based chord relationships; its complete and consistent system of common-tone transformations, which operates independently from harmonic function; and finally, its ultimate presentation of the entire system as a model of harmonic perception. The appendix to the dissertation is a complete annotated German-English edition of Karg-Elert's 1930 treatise Akustische Ton- Klang- und Funktionsbestimmung (“Acoustic Determination of Pitch, Chord and Function”), translated here for the first time.
Karg-Elert's treatises synthesize three strains of thought in late nineteenth-century German theory that were previously somewhat self-contained: a model of pitch and harmonic space derived from the pure intervals of just intonation; major-minor dualism (which Karg-Elert termed polarity), shaped especially by the work of Arthur von Oettingen; and the concept of harmonic function, first presented in Riemann's Harmony Simplified of 1893. Building on that scholarly foundation, Karg-Elert introduces several innovative ideas, including the addition of a third dimension to the pitch space, based on the pure or concordant seventh (4:7); a network of direct major and minor third transformations; and transformations involving the concordant seventh, which enable direct connections among dominant and half-diminished seventh chords. In total, Karg-Elert proposes 23 transformations among triads and seventh chords, all of which retain at least one common tone (conceived as a unique location in the three-dimension (open full item for complete abstract)
Committee: Steven Cahn Ph.D. (Committee Chair); David Carson Berry Ph.D. (Committee Member); Cristina Losada Ph.D. (Committee Member)
Subjects: Music