The music of Béla Bartók is defined in part by its unique blend of rhythmic vitality and inventiveness, and his string quartets offer a glimpse into a consistency of technique evident throughout his compositional career. Bartók's rhythmic environments are primarily metrical, but many of his rhythmic configurations are placed in such a way as to potentially override established meter. It is necessary, therefore, to institute an analytical means by which the delineation and comparison of rhythmic structures both within and without the metrical context may be accomplished. An analytical method using Timepoint Accent Structures (TAS) allows for the comparison of rhythms resulting from patterns of accent produced by pitch onset, dynamic stress, articulation or any other accentual factors. Timepoint Grouping Structures (TGS) delineate the number of timepoints present in alternating groups/blocks in a texture, thereby allowing for the recognition of patterning created by these larger groups. By applying TAS and TGS analysis, relationships of rhythmic equivalency, rotation, retrograde, complementation, augmentation, diminution, subset, superset, exchange, compression and expansion are clearly confirmed in the string quartets. In addition, symmetrical structures and arithmetic progressions are discovered. In many ways, Bartók's rhythmic organization mimics his procedures of pitch structuring.

This study examines the five late keyboard works of Cesar Franck: the Prelude, Chorale, and Fugue and the Prelude. Aria, and Finale for piano, and the three organ chorales. The study focuses on harmonic and contrapuntal techniques and their interrelationships, placing the discussion in the context of an analysis of the whole piece. The primary goal is to identify the salient characteristics of each piece; a secondary goal is to identify common harmonic and contrapuntal aspects of Franck's style.

General-Bass in drey Accorden (1756), the first of Johann Friedrich Daube's theoretical works, is a practical instruction manual in thorough-bass accompaniment. It consists of a sixteen page preface followed by 215 pages of text and musical examples. The twelve chapters begin with a presentation of interval classification and a discussion of consonance and dissonance. Daube then explains a theory of harmony in which all "chords" are derived from three primary chords. These are illustrated with regard to their sequence in harmonic progressions, their resolutions—common and uncommon—, and their use in modulation. Seventy-two pages of musical examples of modulations from all major and minor keys to all other keys are included. Particular attention is given to the fully diminished seventh chord, which is illustrated in all inversions and in numerous modulatory progressions. Daube devotes one chapter to three methods of keyboard accompaniment. The subject matter includes textures, dynamics, proper doubling, the accompaniment of recitatives, full-voiced accompaniment, the use of arpeggiation, trills, running passages, and ornamentation in general.

Allen Forte's theory of pitch-class set structure has provided useful tools for discovering structural relationships in atonal music. As valuable as set—theoretic procedures are for composers and analysts, the extent to which set relationships are perceptible by the listener largely remains to be investigated. This study addresses the need for aural-perceptual considerations in analysis, reviews related research in music perception, and poses questions concerning the aural perceptibility of set relationships. Specifically, it describes and presents the results of a computer-assisted experiment in testing the perceptibility of set-equivalency relationships.

This dissertation contains the first complete Latin-English translation of one of the most controversial music theory treatises of the fifteenth-century: the Musica Practica (Bologna, 1942) of Bartolomeo Ramos de Pareia. its title as well as its content illustrate the Renaissance transformation from the abstract mathematical approach of "musica speculativa" to that of an emphasis upon the everyday demands of the practicing musician. Although Ramos provides traditional explanations of the modes, counterpoint, "musica ficta," and white mensural notation, his innovations in temperament, solmization, mutation, and the gamut set this treatise apart from other ffifteenth-century music treatises. Ramos's rejection of traditional Pythagorean-Boethian-Guidonian explanations, coupled with his strong polemic criticisms of the auctoritas, resulted in a treatise that remained at the center of heated debate well into the sixteenth century.

The problem with which this investigation is concerned is that of presenting a concise English translation of the book which Martin Agricola wrote in 1528 in German on the musical instruments and practices of his time. In addition to the translation itself, there is a major section devoted to a comparison of the material of Musica instrumentalis deudsch with other books and treatises on the same and related subjects which were written at approximately the same time or within the next hundred years. Agricola states that the purpose of his book was to teach the playing of various instruments such as organs, lutes, harps, viols, and pipes. He also noted that the material was prepared expressly for young people to study. To facilitate the accomplishment of this purpose Agricola wrote the book in short, two-lined, rhymed couplets so that the youths might quickly memorize the material and thus retain the instructions better.

Respighi’s scarcely-known orchestral work Sinfonia Drammatica lives up to its title by evoking a narrative throughout the course of its three movements. In this dissertation, I argue how the work’s surface, subsurface, and formal elements suggest this narrative which emerges as a cycle of rising and falling dramatic tension. I explain how Respighi constructs the work’s narrative in the musical surface through a diverse body of themes that employ three motives of contour. The disposition and manipulation of these motives within the themes suggest frequent fluctuations of the level of conflict throughout the symphony as a whole. To show the involvement of musical forms in the work’s narrative, I employ an approach which integrates harmony and thematic behavior. I utilize analytical methods from the current Formenlehre, including terms from James Hepokoski and Warren Darcy’s sonata deformation theory and William Caplin’s theories of formal functions to elucidate ties between the forms of the Sinfonia Drammatica’s movements and those of conventional sonata forms of the late-eighteenth century. This dissertation also employs Heinrich Schenker’s theories of structures, voice leading, and reduction to illustrate large-scale aspects of the Sinfonia Drammatica’s narrative. The resulting analyses show Respighi’s elaborations of common structural paradigms which serve to …

When Schenkerian theory began to influence scholarly circles in the United States, the primary - although not the only - work to which scholars had access was Schenker's last monograph, Der freie Satz. Reading textual passages and examining the many musical graphs in the companion volume of examples influenced their concept of the fundamental structure as Schenker understood it, as well as the relationship of the other levels (Schichten) to the larger structure. The problem is that most of the second generation of Schenkerian scholars were reading the 1956 second German edition, not the 1935 first German edition. The second edition had been altered for textual and musical content by Schenker's student, Oswald Jonas - so there is already a disconnect between the original version and the text scholars were reading at that time (the 1950s, 60s, and 70s). Furthermore, many younger North Americans were insufficiently fluent in German to be able to read the work in the original language. In order to make Schenker's treatise accessible to English-speaking scholars, Ernst Oster set about translating the work into English, a task completed in 1979 just after his death. The text was based on the second German edition (ed. Jonas, Vienna, …

Arnold Schoenberg's teaching career spanned over fifty years and included experiences in Austria, Germany, and the United States. Schoenberg's teaching assistant, Leonard Stein, transcribed Schoenberg's class lectures at UCLA from 1936 to 1944. Most of these notes resulted in publications that provide pedagogical examples of combined elements from Schoenberg's European years of teaching with his years of teaching in America. There are also class notes from Schoenberg's later lectures that have gone unexamined. These notes contain substantial examples of Schoenberg's later theories with analyses of masterworks that have never been published. Both the class notes and the subsequent publications reveal Schoenberg's comprehensive approach to understanding the presentation of the Gedanke or musical idea. In his later classes especially, Schoenberg demonstrated a method of analyzing musical compositions using illustrations of elements of the Grundgestalt or "basic shape," which contains the technical aspects of the musical parts. Through an examination of his published and unpublished manuscripts, this study will demonstrate Schoenberg's commitment to a comprehensive approach to teaching. Schoenberg's heritage of eighteenth- and nineteenth-century music theory is evident in his Harmonielehre and in his other European writings. The latter include Zusammenhang, Kontrapunkt, Instrumentation, Formenlehre (ZKIF), and Der musikalische Gedanke und die Logik, …

Beethoven's rich compositional language evokes unique problems that have fueled scholarly dialogue for many years. My analyses focus on two types of paradoxes as central compositional problems in some of Beethoven's symphonic pieces and piano sonatas. My readings of Beethoven's Piano Sonata No. 27 (Op. 90), Symphony No. 4 (Op. 60), and Symphony No. 8 (Op. 93) explore the nature and significance of paradoxical unresolved six-four chords and their impact on tonal structure. I consider formal-tonal paradoxes in Beethoven's Tempest Sonata (Op. 31, No. 2), Ninth Symphony (Op. 125), and Overture die Weihe des Hauses (Op. 124). Movements that evoke formal-tonal paradoxes retain the structural framework of a paradigmatic interrupted structure, but contain unique voice-leading features that superimpose an undivided structure on top of the "residual" interrupted structure. Carl Schachter's observations about "genuine double meaning" and his arguments about the interplay between design and tonal structure in "Either/Or" establish the foundation for my analytical approach to paradox. Timothy Jackson's reading of Brahms' "Immer leiser word meine Schlummer" (Op. 105, No. 2) and Stephen Slottow's "Von einem Kunstler: Shapes in the Clouds" both clarify the methodology employed here. My interpretation of paradox involves more than just a slight contradiction between two …

Composition for Arnold Schoenberg is a comprehensible presentation of a musical idea (musikalische Gedanke); the totality of a piece represents the idea. For tonal works, he defines Gedanke as a process of resolving the "tonal relation" or "tonal problem." Contrary to the numerous tonal examples illustrating the notion of Gedanke, Schoenberg hardly expounds on the Gedanke principle for his atonal and twelve-tone repertoires. This study reevaluates Schoenberg's compositional philosophy and aesthetics including Gedanke, comprehensibility, Grundgestalt, and developing variation in light of his compositional practices in Begleitungsmusik zu einer Lichtspielszene, Op. 34. Although Schoenberg denies the existence of a tonal problem and hierarchy among pitches in twelve-tone compositions, the registral placement found in Op. 34 indicates certain functionality assigned to each pitch-class, producing a sense of "departure and return." The approach here elucidates the "idea" of Op. 34, in which the large-scale formal organization unfolds through contextually emphasized tonal relations. This study also explores Schoenberg's concept of the multi-dimensional presentation of a musical idea. Even though Schoenberg's discussion of musical coherence is usually limited to the immediate musical surface, I believe that he was also aware of an extended realization of foreground motives in the sense of Heinrich Schenker's "concealed motivic …

The present study develops a dynamic model of strict and free composition that views them as relative to a specific historical context. The dynamic view espoused here regards free embellishments of an earlier compositional generation as becoming the models for a strict compositional theory in a later one. From the newly established strict compositional models, succeeding generations of composers produce new free embellishments. The first part of the study develops the dynamic conception of a continuously emerging strict composition as the context necessary for understanding Anton Bruckner's compositional methodology with respect to the harmonic instruction of his teacher, Simon Sechter. In other words, I view Sechter's harmonic theories as a strict compositional platform for Bruckner's free compositional applications. Many theoretical treatises of the seventeenth, eighteenth and nineteenth centuries such as those by Christoph Bernhard, Johann Philipp Kirnberger and Sechter acknowledged that strict composition must provide the structural framework for free composition. The above procedure becomes a manner of justifying a free embellishment since a "theorist" can demonstrate or assert the steps necessary to connect it with an accepted model from a contrapuntal or harmonic theory. The present study demonstrates that the justification relationship is a necessary component for understanding any …

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 …

Tonality is a term often used to describe the music of the common practice period (roughly 1600-1900). This study examines the music of mid twentieth-century jazz composer Thad Jones in light of an extended common practice, explicating ways in which this music might be best understood as tonal. Drawing from analyses of three of Jones’s big band compositions: To You, Three and One, and Cherry Juice, this study examines three primary elements in detail. First is Jones’s use of chord-scale application techniques in the orchestration over various chordal qualities represented by the symbols, revealing traditional as well as innovative methods by Jones. Second is Jones’s use of harmonic progressions, demonstrating his connection to past practice as well as modern jazz variations. Third is Jones’s use of contrapuntal connections and their traditional relationship to functional tonality, but in a chromatic scale-based environment. Jones’s music is presented in this study to demonstrate a tonal jazz common practice that represents an amalgamation of traditions including twentieth-century scale-based procedures, Renaissance and early twentieth-century modality, eighteenth- and nineteenth-century voice leading schemas, and Baroque and Classical descending-fifth progressions. Also included as an appendix is a list of possible note errors in the published scores of To …

Philip Glass's minimalist opera The Voyage commemorates the 500th Anniversary of Christopher Columbus's discovery of America. In the opera, Philip Glass, like other composers, expresses singers' and non-singers' words and activities by means of melodies, rhythms, chords, textures, timbres, and dynamics. In addition to these traditional musical expressions, successions of reiterating materials (RMs, two or more iterations of materials) and non reiterating materials (NRMs) become new musical expressions. However, dividing materials into theses two categories only distinguishes NRMs from RMs without exploring relations among them in successions. For instance, a listener cannot perceive the functional relations between a partial iteration of the RM and the NRM following the partial RM because both the partial RM and the NRM are NRMs. As a result, a listener hears a succession of NRM followed by another NRM. When an analyst relabels the partial RM as partial loop, and the NRM following the partial RM as loop breaker, a listener hears the NRM as a loop breaker causing a partial loop. The musical functions of loops and loop breakers concern a listener's expectations of the creation, sustaining, departure, and return to the norm in successions of loops and loop breakers. When a listener associates …

The use of algorithms in compositional practice has been in use for centuries. With the advent of computers, formalized procedures have become an important part of computer music. David Cope is an American composer that has pioneered systems that make use of artificial intelligence programming techniques. In this dissertation one of David Cope’s compositions that was generated with one of his processes is examined in detail. A general timeline of algorithmic compositional practice is outlined from a historical perspective, and realized in the Common Lisp programming language as a musicological tool. David Cope’s compositional output is summarized with an explanation of what types of systems he has utilized in the analyses of other composers’ music, and the composition of his own music. Twentieth century analyses techniques are formalized within Common Lisp as algorithmic analyses tools. The tools are then combined with techniques developed within other computational music analyses tools, and applied toward the analysis of Cope’s prelude. A traditional music theory analysis of the composition is provided, and outcomes of computational analyses augment the traditional analysis. The outcome of the computational analyses, or algorithmic analyses, is represented in statistical data, and corresponding probabilities. From the resulting data sets part of …

During the 1930s, German-born music critic and composer Gualterio Armando (1887-1973), formerly known as Walter Dahms, set to music thirty-four poems by some of the most important Hispano-American poets from the latter part of the nineteenth and first half of the twentieth century. In these songs, Armando tries to capture the spirit and idiosyncrasy of Hispano-American cultures while incorporating his own musical aesthetics. Armando’s 34 Canciones Hispanoamericanas para Canto y Piano (34 Hispano-American songs for voice and piano) display an original sound and style full of rhythms, shapes, colors, and textures found in the music of various Hispanic cultures. Nevertheless, the essence of these songs is deeply rooted in nineteenth-century German musical traditions. This eclecticism results in unique works that developed and evolved as reflections of their creator’s musical psyche. This dissertation presents an analytical study of selected songs from the 34 Canciones. The study focuses on three compositional aspects: unity within song cycles, chromaticism, and the use of pre-existing musical material. Since only one of the 34 Canciones has ever been published, this document also includes a complete edition of the thirty-four songs. Additionally, a significant part of the research incorporates a biographical sketch of the composer.