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Bibliography: leaves 206-220.

This research constitutes a detailed study of 5 - 6 voice-leading technique that is often found in music - theoretical literature and in the tonal repertoire. The study aims to prove that this technique is an essential theoretical and analytical concept for understanding the evolution of tonal music. / The first part of this study examines concepts and descriptions of 5 - 6 technique as they appear in the theoretical literature of the eigthteenth and nineteenth centuries and in the writings of Heinrich Schenker and the modern Schenkerian school. The descriptions of 5 - 6 technique in earlier conterpoint, figured-bass and harmony treatises led Schenker and his disciples to place the technique in a much broader context, though even they do not always grasp the full implications of their procedures. / In the light of William Caplin's recent theory of formal functions, (Caplin 1985; 1998), the second part of the thesis in a substantial selection of musical excerpts from the eighteenth through the early twentieth centuries, demonstrates that 5 - 6 technique as a contrapuntal analatycal concept, provides an effective model for understanding the development of chromaticism and the extension of the tonal language at multiple structural levels.

This paper expands on the work of David Lewin, whose seminal work Generalized Musical Intervals and Transformations proposes, among other functions, the interval function or IFUNC. The interval function catalogs the type and number of directed pitchclass intervals between two different pitch-class sets. This paper proposes the concept of the IFUNC array, an ordered sequence of twelve digits representing the IFUNC values for an interval i = 0–11, reading either left to right or clockwise around a circle. It explores features of the interval function, including symmetry in the IFUNC array, and includes analysis of several excerpts from Anton Webern’s early atonal works. The paper addresses axes of symmetry, both in pitch-class sets and in interval functions. / School of Music

The core of this study is a new edition and translation of the Proportionale musices of Iohannes Tinctoris (c.1435-1511). The text is preceded by two introductory sections devoted, first, to reviewing the evidence for Tinctoris's biography and the chronology of his treatises as a whole, and, secondly, to examining the sources employed in the edition. In the section on chronology some new information is presented concerning the printing of the incunabulum De inuentione et usu musice, and on the scope of the original compilation from which the contents of the print were excerpted. In the discussion of sources, the first detailed description of the principal Brussels manuscript is given, in which some evidence is adduced for believing this to be an authorial holograph. Some refinements are also made to current knowledge regarding the dating and provenance of the Valencia and Bologna University Library sources. Following the translation of the Proportionale, some notes on the text are offered. Appendices present (a) the documentary biographical material discussed at the opening; (b) a littie-studied letter from Tinctoris to Joanmarco Ginico; (c) Tinctoris's translation into Italian of the Statutes for the Order of the Golden Fleece; and (d) a transcription of some new fragments of De inuentione et usu musice, rediscovered recently in Cainbrai.

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This dissertation is an analysis of two of the six sonatas for organ using rhetorical-musical prescriptions from seventeenth and eighteenth-century German theorists. It undertakes to examine the way in which lines are built by application of figurae, to observe the design of each of the six movements, and to draw conclusions concerning implications for performance based upon the use of figurae in specific contexts. The period source on melodic design and the ordering of an entire movement based upon principles of rhetoric is Johann Mattheson's Per volkommene Capelmeister (1739). Guidelines for categorization of figures derive from the twentieth-century writers Timothy Albrecht, George Buelow, Lena Jacobson, and Peter Williams. Chapter I provides justification for the rhetorical approach through a brief description of the rise of the process as applied to composition during the Baroque period by relating Bach's own familiarity with the terminology and processes of rhetorical prescription, and by describing the implications for performance in observing the sonatas from the rhetorical viewpoint. Chapter II deals with the process of composition by rhetorical prescription in (1) the invention of the subject and its figural decoration and (2) the elaboration of the subject through the sixpart discourse of an entire movement. Specific figures of decoration are defined through examples of their use within the context of the sonatas. Chapter III constitutes the analysis of the six sonata movements. Chapter IV reinforces the justification of this type of analysis. The figures, as aids for inflection and punctuation, affect decisions concerning articulation of events and assist in effecting convincing performance.

The purpose of this study is to trace the development of the major seventh chord from the earliest recorded music through the German School of composition up to the time of Johann Sebastian Bach. The term "major seventh chord" is used to denote the four-tone chord comprised of a major triad plus a tone which is a major seventh above the root. In major keys this chord may be built on the tonic and subdominant degrees of the scale without alterations, and in the "natural" minor on the mediant and the submediant. The full, or structural, name "major-major seventh chord"--used in the present thesis only when it is necessary to distinguish it from other seventh chords with major sevenths-- arises from the fact that the triad (1, 3, 5) is major and the interval between the root and the seventh is major.