The compositions of Steve Reich and György Ligeti both contain periodic rhythmic structures. Although periods are not usually easily perceived, the listener may perceive their combinations in a hierarchy of rhythmic structures. This document is an attempt to develop an analytical method that can account for this hierarchy in periodic music. I begin with an overview of the features of Reich's and Ligeti's music that contribute to the property of periodicity. I follow with a discussion of the music and writings of Olivier Messiaen as a precedent for the periodic structures in the music of Reich and Ligeti. I continue by consulting the writings of the Israeli musicologist Simha Arom and describing the usefulness of his ideas and terminology in the development of my method. I explain the working process and terminology of the analytical method, and then I apply it to Reich's Six Pianos and Ligeti's Désordre.

"Harry Partch's Keyboard Innovation" is a computer-assisted demonstration that introduces the tuning system used primarily by the twentieth-century American composer, Harry Partch. The multimedia product was developed in Director 6.0, and it includes sound and video clips from CDs and videocassettes of Partch's works produced by Phillip Blackburn and distributed by the American Composers Forum. The content of the demonstration involves a 43-tone microtonal tuning system and its application in the music literature. This demonstration will discuss the chronological order in which these prototypes were developed and also includes samples of the tuning of notes in Partch's scale that the novice can experiment with interactively. These tones were synthesized using the Csound scores shown in Appendix B. Materials for this demonstration are based on Harry Partch's Genesis of a Music.

The earlier symphonies of the 1950s embody a gradual realization of Pettersson’s own unique symphonic style, containing large-scale development, repetition, and reiteration. Symphony no. 5 takes these ideas to the extreme and represents the codification of techniques that are further developed in later symphonies. The present study examines the structure of the symphony from a voice-leading perspective. Included in this study is an analysis of the construction of the piece focusing on the development and expansion of motives that operate as structural determinants and the use of chromatic saturation to create intensity and direction. The use of linear analysis in a post-tonal context makes necessary a section devoted to explicating the graphic notation shown in the analysis and the analytical process of determining linear progressions.

Different sections or movements of a piece are associated with each other and contain the composer essential thought. A vague affinity of mood and a resembling theme or form testifies to the relationship. However, the evidence is insufficient to reveal the unification of the different sections or movements since these are under restraint of external music proofs. In order to figure out the relationship, thus, identical musical substance should be discovered. In the study the substantial evidence, which can be called unity or unification, is mainly discussed. The unity is illustrated with Brahms's Horn Trio, Op.40 that is one of the Brahms's significant works. The unity found in the Horn Trio is based on the internal structure and structural voice-leading notes. The unity in the Horn Trio is the fundamental structural unity that is divided into initial ascent and voice exchange, and fundamental voice-leading motive. The fundamental unity seriously affects the master piece and penetrates the movements as a whole. Further, it reveals the hidden connections to the historical background of the Horn Trio and the philosophy of Brahms for the music. Even though a piece consists of several sections or movements, the entire piece presents homogeneity. The identity of …

Twelve-tone music illustrates many characteristics relative with those of conventional tonal form, though works are based on a different composition method. The fundamental question of twelve-tone music arises in debate on terminology between tonal and atonal as well as methodology of musical analysis. Certain theorists try to approach twelve-tone music by traditional harmonic views rather than by pitch-class set theory. Conventional harmonic aspects arise from the fact that both tonal and twelve-tone music share similar narrative strategies. This point is explored in examining Anton Webern's Quartet for Violin, Clarinet, Tenor-Saxophone and Piano, Op. 22, which displays connection to tonal music. The present study seeks to examine certain features of the composer's working in pitch materials; i.e., the dispositions of pitch classes and the characteristics of the matching dyads, and thereby to disclose the connection between twelve-tone methods and conventional harmony.

With the proliferation of Schenkerian theory in the US, Great Britain, and mainland Europe in the past quarter century, the pedagogy of Schenkerian analysis has become an important issue. Schenker himself was suspicious of textbooks with their tendency for artificial codification and over-simplification; rather, he recognized that his “New Teaching” (“Die neue Lehre”) – as he called it – required a different, more “organic” pedagogical approach that was both personal and yet accessible to a wide audience. New digital technologies and the Internet now have made it possible to disseminate Schenker’s pedagogical approach by adapting interactive techniques of Web-based instruction. Schenker’s “new teaching” was as organic as his theory itself – and as novel in the connections it sought to draw between the individualed disciplines of theory, musicology, composition, and performance. The interactive and multi-media components of Web-based instruction enable us to realize Schenker’s own pedagogical approach to Schenkerian analysis instruction.

This research project evaluates the effectiveness of specific music theory instructional strategies in terms of D. A. Kolb’s theory of experiential learning and Kolb’s typology of individual learning style. The project provides an original methodology for the adaptation of music theory instructional material to the individual learning style types described in Kolb’s typology. The study compares the relative effectiveness of two music theory instructional sequences, one of which is adapted for all of the learning style modalities described in Kolb’s typology, and the other adapted for only a limited number of Kolb’s learning style types. In order to compare the potential “learning outcomes” produced by these instructional sequences, a detailed study is proposed, in which computer based instruction (CBI) will deliver the instructional sequences to research participants and electronically record the participants’ responses. The current study demonstrates the effective aspects of the original methodology and suggests methods for the successful adaptation of music theory instructional material to individual student learning styles.

Cindy McTee's Symphony No. 1: Ballet for Orchestra is composed primarily of pitch materials from the octatonic collections that contain both diatonic and non-diatonic relationships in the themes, harmonic content, and larger structure of the symphony. Because the octatonic collections contain the potential for both diatonic and non-diatonic relationships, the piece is argued to have octatonic structure, as the octatonic collection is capable of producing both relationships. The second chapter contains a review of the literature, focusing particularly on the work of Arthur Berger, Pieter C. van den Toorn, Richard Taruskin, and Allen Forte. Next, the octatonic structure of the symphony is shown in the thematic material. Finally, the harmonic support and large-scale structure of the piece are shown to contain octatonic relationships as well.