Thesis (Ph. D.)--Department of Music, Stanford University, 2008. / Includes bibliographical references (p. 137-147).

The purpose of the proposed thesis is to:1. Define expert systems and discuss various implementation techniques for the components of expert systems. This includes discussion on knowledge representation, inference methods, methods for dealing with uncertainty, and methods of explanation. Specifically, the focus will be on the implementation of rule-based expert systems;2. Apply selected expert system techniques to a case study. The case study will be a rule-based expert system in Prolog to recognize and identify musical chords from tonal harmony. The system will have a general knowledge base containing fundamental rules about chord construction. It will also contain some knowledge that will allow it to deduce non-trivial chords. Furthermore, it will contain procedures to deal with uncertainty and explanation;3. Explain general concepts about music theory and tonal chord classification to put the case study in context; and4. Discuss the limitations of expert systems based on the results of the case study and the current literature. / Department of Computer Science

Thesis (Ph. D.)--Kent State University, 2008. / Title from PDF t.p. (viewed Jan. 21, 2010). Advisor: Ralph Lorenz. Keywords: jazz, music, theory, George Macdonald, ballet, harmony, tertian, harmonics analysis, dissonance, consonance, orchestra. Includes bibliographical references (p. 130-140).

Bart6k's own expanded tonal ("supradiatonic") pronouncements reveal that his music, notwithstanding tonally camouflaging surface details, clearly had a tonal foundation which in many respects is a reaction to the emerging atonalism of Schonberg. Analysis of three piano works (1908 - 1916) reveal that Bart6k's tonal language embraced intuitively the expanded tonal idiom. The harmonic resources Bart6k employed to obscure tonicisation embrace double-degree constructions, quartal formations, chords of addition and omission and other irregular constructions. Diatonic tonal pillars are evident in pedal points, tonic triads and dominant to tonic root movement. Through an application of the Riemann function theory expanded by Hartmann's supposition of fully-chromaticised scales tonal syntax (especially secondphase Strauss cadences or closes) becomes apparent within an expanded tonal product. The analyses conclude that Bart6k's inimitable "sound-world" is a twentieth-century manifestation of traditional tonality's primary tenets. / Musicology / M.Mus.

Bart6k's own expanded tonal ("supradiatonic") pronouncements reveal that his music, notwithstanding tonally camouflaging surface details, clearly had a tonal foundation which in many respects is a reaction to the emerging atonalism of Schonberg. Analysis of three piano works (1908 - 1916) reveal that Bart6k's tonal language embraced intuitively the expanded tonal idiom. The harmonic resources Bart6k employed to obscure tonicisation embrace double-degree constructions, quartal formations, chords of addition and omission and other irregular constructions. Diatonic tonal pillars are evident in pedal points, tonic triads and dominant to tonic root movement. Through an application of the Riemann function theory expanded by Hartmann's supposition of fully-chromaticised scales tonal syntax (especially secondphase Strauss cadences or closes) becomes apparent within an expanded tonal product. The analyses conclude that Bart6k's inimitable "sound-world" is a twentieth-century manifestation of traditional tonality's primary tenets. / Musicology / M.Mus.

Johann Paul von Westhoff's (1656-1705) solo violin works, consisting of Suite pour le violon sans basse continue published in 1683 and Six Suites for Violin Solo in 1696, feature extensive use of multiple stops, which represents a German polyphonic style of the seventeenth-century instrumental music. However, the Six Suites had escaped the public's attention for nearly three hundred years until its rediscovery by the musicologist Peter Várnai in the late twentieth century. This project will focus on polyphonic writing featured in the solo violin works by von Westhoff. In order to fully understand the stylistic traits of this less well-known collection, a brief summary of the composer, Johann Paul Westhoff, and an overview of the historical background of his time will be included in this document. I will analyze these works, including a comparison between the works of Westhoff and those of other composers during his time, to prove that Westhoff's solo works establish multiple stops as a central factor of German violin playing of the time, and, thus, to promote Westhoff's works as a complement to the extant repertoire of unaccompanied violin music written in the Baroque era before Johann Sebastian Bach's solo violin works and Georg Philipp Telemann's twelve fantasias for violin solo. Furthermore, this project will help one to better understand the use and function of multiple stops in the German violin repertoire in the seventeenth century.

This dissertation explores middleground functionality of six-four chords by combining a voice-leading approach with hypermetrical analysis. By acknowledging the functional ambiguity of certain six-four chords that do not fit into traditional classifications (Aldwell and Schachter's cadential, consonant, passing, and neighboring six-four), or that can be seen as fitting in more than one category, I show that our interpretation of deeper-level structures is contingent upon how we choose to hear the functionality of these harmonies. Three types of six-four chords are introduced: cadential/consonant, passing/cadential, and neighboring/consonant six-four, illustrated by works by Robert Schumann, Brahms, and Saint-Säens. Each pair refers to an ambiguity—the same chord invites two alternative harmonic interpretations. I call these chords nontraditional in the sense that they shed more light on the musical structure with their ambiguity, rather than when being wedged into a single type of a six-four chord. This approach renews the ways of hearing the malleability of nonconventional Romantic structures and permits us to trace the path of each work as a unique tonal trajectory from a listener's perspective.