Search Results

Accent and Grouping Structures in the String Quartets of Béla Bartók
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.
Algorithmic Music Analysis: a Case Study of a Prelude From David Cope’s “From Darkness, Light”
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 a machine-learning technique algorithm devises semantic networks. The semantic networks represent chord succession and voice leading rules that underlie the framework of Cope’s prelude.
An Analytical Study of Paradox and Structural Dualism in the Music of Ludwig van Beethoven
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 Schenkerian readings; it involves fundamentally opposed readings, that both result from valid, logical lines of analytical reasoning. In my view, paradoxes could be considered a central part of Beethoven's persona and philosophy. Beethoven's romantic endeavors and his relationships with mentors suggest that paradoxes might have been central to his bravura. Furthermore, Beethoven's familiarity with the politics of the French Revolution and Shakespearean literature suggest that paradoxes in some pieces (including the Ninth Symphony) could be metaphorical representations of his ideology. However, I do not attempt to explicitly link specific style features to extra-musical ideas. Modern Schenkerian scholars continue to expand …
Antoine Reicha's Theories of Musical Form
Antoine Reicha stands as an important figure in the growing systematization of musical form. While Traite de melodie (1814) captures the essence of eighteenth-century concern with tonal movement and periodicity, Reicha's later ideas as represented in Traite de haute composition musicale (1824-26) anticipate descriptions of thematic organization characteristic of his nineteenth-century successors. Three important topics emerge as crucial elements: melody, thematic development, and schematic categorization of complete pieces.
An Application of Grundgestalt Theory in the Late Chromatic Music of Chopin: a Study of his Last Three Polonaises
The late chromatic music of Chopin is often difficult to analyze, particularly with a system of Roman numerals. The study examines Schoenberg's Grundgestalt concept as a strategy for explaining Chopin's chromatic musical style. Two short Chopin works, Nocturne in E-flat major. Op. 9, No. 2, and Etude in E major, Op. 10, No. 3, serve as models in which the analytic method is formulated. Root analysis, in the manner of eighteenth-century theorist Simon Sechter, is utilized to facilitate harmonic analysis of chromatic passages. Based upon the analytic method developed, the study analyzes the last three polonaises of Chopin: Polonaise in F-sharp minor, Op. 44, Polonaise in A-flat major, Op. 53, and Polonaise-Fantasie in A-flat major, Op. 61. The Grundgestalt-based analysis shows harmonic, melodic and rhythmic connections in order to view Chopin's chromaticism and formal structure from a new perspective. With this approach, the chromaticism is viewed as essential to the larger form.
The Aural Perception of Pitch-Class Set Relations: A Computer-Assisted Investigation
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.
Beethoven's Transcendence of the Additive Tendency in Opus 34, Opus 35, Werk ohne Opuszahl 80, and Opus 120
The internal unity of the themes in a sonata-allegro movement and the external unity of the movements in a sonata cycle are crucial elements of Beethoven's compositional aesthetic. Numerous theorists have explored these aspects in Beethoven's sonatas, symphonies, quartets, and concertos. Similar research into the independent variation sets for piano, excluding Opus 120, has been largely neglected as the result of three misconceptions: that the variation sets, many of which were based on popular melodies of Beethoven's time, are not as worthy of study as his other works; that the type of hidden internal relationships which pervade the sonata cycle are not relevant to the variation set since all variations are, by definition, related to the theme; and that variations were composed "additively," that is, one after another, without any particular regard for their order or relationship to one another. The purpose of this study is to refute all three of these incorrect assumptions. Beethoven was concerned with the order of variations and their relationship to one another, and he was able to transcend the additive tendency in a number of ways. Some of his methods included registral connection, registral expansion, rhythmic acceleration, textural expansion, dynamics, articulation, and motivic similarities. Chapter I contains a discussion of the role of the variation set in Beethoven's overall output. The teachers, composers, and works which may have influenced him are also discussed as well as his training in variation composition. Finally, those factors which Beethoven employed to unify his sets are listed and explained. Chapters II-V are devoted to detailed analyses of four striking variation sets: Opus 34, Opus 35, WoO 80, and Opus 120. Chapter VI presents a summary of the findings. It suggests that each of the sets investigated has a unique form and that each variation has a distinct place …
Consonance, Tertian Structures and Tonal Coherence in Wladimir Vogel's Dodecaphonic World
Wladimir Vogel's (1896-1984) interest in twelve-tone composition began to develop in 1936 after hearing a series of lectures by Willi Reich, a music critic and supporter of the new music of the Second Viennese School. The transition for Vogel from a large-scale orchestral “classical” style, influenced by his study with Ferruccio Busoni in Berlin in the early 1920s, to a new technique involving dodecaphony is apparent in his instrumental writing, the third and fourth movements of the Konzert für Violine und Orchester (1937), as well as in his vocal writing, the Madrigaux for mixed a cappella choir (1938/39). Vogel's twelve-tone works exhibit tertian structures which are particularly emphasized by triads located as consecutive pitches within the rows. Emphasis on tertian structures are not limited to small-scale segmentation of the rows but can also be seen in the structural and tonal organization of complete movements and works. A primary example is the Konzert für Violoncello und Orchester (Cello Concerto) (1955) in which, on a smaller scale, the presentation of the row emphasizes both diminished and minor triads, and at the macro level, the structural triadic relationships unify passages within individual movements as well as the concerto as a whole. Since the work is composed using the twelve-tone method, consideration is given to the structure of the serial components. In addition, the concerto is analyzed in terms of its cognitive features-those elements that are demonstrably related to traditional practice- such as tertian melodic/harmonic outlines reinforced by rhythmic features that are common to eighteenth- and nineteenth-century practice. The compositional features evident from the serial structure of the work are addressed in conjunction with references to traditional practice made evident through the serial technique. The findings in the analysis of the Cello Concerto support the argument that the inclusion of consonant sonorities and tertian …
Crisis and Catharsis: Linear Analysis and the Interpretation of Herbert Howells' "Requiem" and "Hymnus Paradisi"
Hymnus Paradisi (1938), a large-scale choral and orchestral work, is well-known as an elegiac masterpiece written by Herbert Howells in response to the sudden loss of his young son in 1935. The composition of this work, as noted by the composer himself and those close to him, successfully served as a means of working through his grief during the difficult years that followed Michael's death. In this dissertation, I provide linear analyses for Howells' Hymnus Paradisi as well as its predecessor, Howells' Requiem (1932), which was adapted and greatly expanded in the creation of Hymnus Paradisi. These analyses and accompanying explanations are intended to provide insight into the intricate contrapuntal style in which Howells writes, showing that an often complex musical surface is underpinned by traditional linear and harmonic patterns on the deeper structural levels. In addition to examining the middleground and background structural levels within each movement, I also demonstrate how Howells creates large-scale musical continuity and shapes the overall composition through the use of large-scale linear connections, shown through the meta-Ursatz (an Ursatz which extends across multiple movements creating multi-movement unity). Finally, in my interpretation of these analyses, I discuss specific motives in Hymnus Paradisi which, I hypothesize, musically represent the crisis of Michael's death. These motives are initially introduced in the "Preludio," composed out on multiple structural levels as Hymnus Paradisi unfolds, and, finally, I argue, are transformed as a representation of the process of healing, and ultimately, catharsis.
Developing Variation and Melodic Contour Analysis: A New Look at the Music of Max Reger
Max Reger was a prolific composer on the threshold of modernism. The style of his extensive musical output was polarizing among his contemporaries. A criticism of Reger's music is its complex and dense musical structure. Despite writing tonal music, Reger often pushes the boundaries of tonality so far that all sense of formal organization is seemingly imperceptible. In this dissertation, I offer what I observed to be a new way of discerning Reger's motivic relationships and formal structures within and between movements. There are three primary tools and methods I incorporated to make these observations: Schoenberg's developing variation; melodic contour analysis as discussed by Elizabeth West-Marvin and Diana Deutsch; and Janet Schmalfeldt's motivic cyclicism stemming from internal themes. In this dissertation I examine five different musical works by Reger: D minor Piano Quartet, Clarinet Quintet, Piano Concerto, String Quartet, op. 121 and E minor Piano Trio, op. 102. My analysis shows how Reger relies on melodic contours of his motives to connect musical moments across entire movements and entire works with multiple movements. These motives are developed and often mark structurally significant moments providing the organization often perceived as missing in Reger's music.
Dialogo della musica antica et della moderna of Vincenzo Galilei: Translation and Commentary. [Part 1]
The purpose of this study is to provide a practical English translation of Vincenzo Galilei's significant treatise on ancient and modern music (1581). In spite of the important place this work holds in the history of music, it has never before been made available in its entirety in any language other than the original Italian. This volume includes the front matter and chapters 1-3.
Dialogo della musica antica et della moderna of Vincenzo Galilei: Translation and Commentary. [Part 2]
The purpose of this study is to provide a practical English translation of Vincenzo Galilei's significant treatise on ancient and modern music (1581). In spite of the important place this work holds in the history of music, it has never before been made available in its entirety in any language other than the original Italian. This volume includes chapters 4-6, with an index and bibliography for the entire dissertation.
Drafts, Page Proofs, and Revisions of Schenker's Der freie Satz: The Collection at the Austrian National Library and Schenker's Generative Process
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, 1956), but the first edition (Vienna, 1935) was consulted also. Examples that were changed from the 1935 edition in the 1956 edition were not restored. The first problem for those interested in gaining a more accurate understanding of Schenker's theories is that the first German edition is still unavailable in complete translation. The second and more serious issue involves the genesis of the first German edition. All these problems concerning the publication of the various editions have led to an incomplete understanding of the work. Complicating matters is the relatively unexplored state of the late manuscript of Der freie Satz …
Form in Popular Song, 1990-2009
Through an examination of 402 songs that charted in the top 20 of the Billboard year-end charts between the years 1990 and 2009, this dissertation builds upon previous research in form of popular song by addressing the following questions: 1) How might formal sections be identified through melody, harmony, rhythm, instrumentation, and text? 2) How do these sections function and relate to one another and to the song as a whole? 3) How do these sections, and the resulting formal structures, relate to what has been described by previous theorists as normative? 4) What new norms and trends can be observed in popular song forms since 1990? Although many popular songs since 1990 do follow well-established forms, some songwriters and producers change and vary these forms. AAA strophic form, AABA form, Verse-Chorus form, Verse-Chorus with Prechorus and/or Postchorus sections, Verse-Chorus-Bridge form, “Other, with a Chorus” and “Other, without a Chorus” forms are addressed. An increasing number of the songs in each of the above listed forms are based on a repeating harmonic progression or no harmonic progression at all. In such songs, the traditional method of identifying sections and section-functions through harmonic analysis is less useful as an analytical tool, and other musical elements (melody, rhythm, instrumentation, and text) are as important, if not even more so, in determining the form of songs in the sample.
Gualterio Armando's 34 Canciones Hispanoamericanas Para Canto Y Piano: a Comprehensive Edition and an Analytical Study of the Work’s Thematic Unity, Chromaticism, and Use of Musical Quotations
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.
Harmonic and Contrapuntal Techniques in the Late Keyboard Works of Cesar Franck
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.
The Harmonic Interval of the Seventh in the Works of Representative Composers of Italian Madrigals, 1542-1614
This study is an attempt to shed some light on the treatment of one dissonance—the seventh—in the works of the following composers: Cipriano de Rore (1516-1565); Philippe de Monte (1521-1603); Giaches de Wert (1535-1596); Luca Marenzio (1553-1599); Carlo Gesualdo (ca. 1560-1613); and Claudio Monteverdi (1567-1643). The purpose of this thesis is to discover (1) the frequency of occurrence of primary (relatively accented) sevenths and their inversions (^ chords, etc.) in a selection of each composer's madrigals; and (2) the methods of handling sevenths employed by each composer, with particular emphasis on the relationship between these methods and sixteenth century theory.
Harmony in the Songs of Hugo Wolf
The songs of Hugo Wolf represent the culmination of the Romantic German Lied tradition. Wolf developed a personal chromatic harmonic style that allowed him to respond to every nuance of a poetic text, thereby stretching tonality to its limits. He was convinced, however, that despite its novel nature his music could be explained through the traditional theory of harmony. This study determines the degree to which Wolf's belief is true, and begins with an evaluation of the current state of research into Wolf's harmonic practice. An explanation of my analytical method and its underlying philosophy follows; historical perspective is provided by tracing the development of three major elements of traditional theory from their inception to the present day: fundamental bass, fundamental chords, and tonal function. The analytical method is then applied to the works of Wolf's predecessors in order to allow comparison with Wolf. In the investigation of Wolf's harmonic practice the individual elements of traditional functional tonality are examined, focusing on Wolf's use of traditional harmonic functions in both traditional and innovative ways. This is followed by an investigation of the manner in which Wolf assembles these traditional elements into larger harmonic units. Tonal instability, rapid key shifts, progressive tonality, tonal ambiguity, and transient keys are hallmarks of his style. He frequently alters the quality of chords while retaining the function of their scale-degree root. Such "color" chords are classified, and their effect on harmonic progression examined. Wolf's repetitive motivic style and the devices that he employs to provide motion in his music are also discussed. I conclude by examining Wolf's most adventuresome techniques—including parallel chords successions, chromatic harmonic and melodic sequences, and successions of augmented triads--and the suspension of tonality that they produce. This project encompasses all of Wolf's songs, and should be a useful tool for Wolf …
Imagined Sounds: Their Role in the Strict and Free Compositional Practice of Anton Bruckner
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 theory as a strict/free one. By examining Sechter as a strict methodology for Bruckner, we can view the free applications that the latter develops. Bruckner's own theoretical documents-the marginalia in his personal copy of Sechter's Die Grundsätze der musikalischen Komposition and his lecture notes, Vorlesungen über Harmonie und Kontrapunkt an der Universität Wien, taken by Ernst Schwanzara-provide extensions and elaborations to Sechter's theories. In addition, theorists sympathetic to Sechter's approach and Bruckner's personal students provide further material for understanding Bruckner's free application of Sechter's strict harmonic perspective. The study uses my own observations, as well as the extensions indicated above, …
J. F. Daube's "General-Bass in drey Accorden" (1756): A Translation and Commentary
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.
The Lessons of Arnold Schoenberg in Teaching the Musikalische Gedanke
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, Technik, und Kunst seiner Darstellung (the Gedanke manuscripts), written over the course of several years from the 1920s to the early 1930s. After emigrating to the United States in 1933, Schoenberg immediately began teaching and writing in an attempt to arrive at a comprehensive approach to his pedagogy. The remainder of Schoenberg's textbook publications, with the exception of Models for Beginners in Composition, were left unfinished, were edited primarily by Leonard Stein and published after Schoenberg's death in 1951. Preliminary Exercises in Counterpoint, Fundamentals of Musical Composition, and Structural Functions of Harmony complete his ouevre of theory publications. An examination …
Martin Agricola's 'Musica Instrumentalis Deudsch': A Translation
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.
Metric Dissonance in Non-Isochronous Meters
Although music of the twentieth and twenty-first centuries makes frequent use of non-isochronous meter (meters involving beats of different length, such as 5/4 and 7/8), most studies on meter and metric dissonance focus on isochronous meters (meters involving beats of the same length, such as 4/4 and 9/8). This dissertation bridges this gap by developing two methodologies to account for metric dissonance involving non-isochronous pulses: modified ski-hill graphs and the composite beat attack point system. Modified ski-hill graphs, adapted from Richard Cohn's ski-hill graphs, illustrate metric states involving non-isochronous pulses and reveal degrees of dissonance in musical passages that share time spans, as in 5/4 grouped 3+2 vs. 5/4 grouped 2+3. The composite beat attack point system uses rhythmic notation to illustrate metric states involving any pulse duration or time span, revealing specific points of dissonance and consonance, relative strength of dissonance and consonance, and patterns of dissonance and consonance. The methodology is used to closely examine the treatment of metric dissonance in Holst's "Mars," from The Planets, Ligeti's Hungarian Rock (Chaconne), and Ligeti's Désordre. The analyses focus on passages where the metric dissonance becomes ever more pronounced and ends up obliterating any sense of meter.
The Missae De Beata Virgine C. 1500-1520: A Study of Transformation From Monophonic to Polyphonic Modality
While musical sources and documents from throughout the Middle Ages reveal that mode was an enduring and consciously derived trait of monophonic chant, modality in later polyphony shares neither the historical span nor the theoretical clarity of its monophonic counterpart. Modern theorists are left with little more than circumstantial evidence of the early development of modality in polyphony. This study attempts to shed light on the problem by detailed analysis of a select body of paraphrase masses from the early sixteenth century. First, it correlates the correspondence between the paraphrased voice and the original chant, establishing points of observation that become the basis of melodic analysis. Then, these points are correlated with known rules of counterpoint. Exceptions are identified and examined for their potential to place emphasis on individual mode-defining pitches. A set of tools is derived for quantifying the relative strength of cadential actions. Levels of cadence are defined, ranging from full, structural cadences to surfacelevel accentuations of individual pitches by sixth-to-octave dyadic motions. These cadence levels are traced through the Missae de beata virqine repertoire from c. 1500-1520, a repertoire that includes masses of Josquin, Brumel, La Rue, Isaac, and Rener. While the Credos, based on two chant sources—one early (11th century) and one later (15th century)—showed little modal consistency, the Kyries show some suggestion of purposeful modal expression; and the Glorias show even greater implications. Results of the study have potential application in sixteenth-century music scholarship to such important issues as musica ficta, performance practice, text underlay, and form.
Multidimensional Musical Objects in Mahler's Seventh Symphony
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 entire structure of the Seventh.
Music Theory in Mexico from 1776 To 1866: A Study of Four Treatises by Native Authors
This investigation traces the history and development of music theory in Mexico from the date of the first Mexican treatise available (1776) to the early second half of the nineteenth century (1866). This period of ninety years represents an era of special importance in the development of music theory in Mexico. It was during this time that the old modal system was finally abandoned in favor of the new tonal system and that Mexican authors began to pen music treatises which could be favorably compared with the imported European treatises which were the only authoritative source of instruction for serious musicians in Mexico.
The Musica Practica of Bartolomeo Ramos de Pareia: A Critical Translation and Commentary
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.
Musical and Dramatic Functions of Loops and Loop Breakers in Philip Glass's Opera The Voyage
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 satisfaction and dissatisfaction of these expectations with dramatic devices such as incidents, words in dialogues and soliloquies, and activities by singers and non-singers, loops and loop breakers in successions become dramatically functional. This dissertation explores the relations among musical and dramatic functions of loops and loop breakers in Glass's musical commemoration of Columbus.
Non-Linear and Multi-Linear Time in Beethoven's Opus 127: An Analytical Study of the "Krakow" Sketch Materials
Beethoven's complex manipulation of formal structures, especially his tendency to build important connections and transformative continuities between non-adjacent sections of musical works, may be seen to function as an attempt to control and sometimes to distort the listener's perception of both the narrative process of musical directionality, as well as the subjective interpretation of time itself. Temporal distortion often lies at the heart of Beethoven's complex contrapuntal language, demonstrated equally through the composer's often enigmatic disruption of phrase-periodic gestures, as well as by occasional instances of overtly incongruous temporal shifts. The "Krakow" collection of compositional sketches for Beethoven's String Quartet in E-Flat, Op. 127, provides a number of instances of "non-linear" or "multi-linear" musical continuity. The term "Krakow" sketches, when referenced in this dissertation, specifically designates the group of Beethoven manuscripts possessed by the Biblioteka Jagiellońska in Krakow, Poland, but which formerly were held by the Royal Library in Berlin. Structural voice-leading analyses are provided for selected portions of the "Krakow" collection; these analyses are then compared to voice-leading graphs and analytical reductions of the corresponding material from Beethoven's published versions of the same musical passages. In some cases the sketches supply almost complete texts, for which critical transcriptions are included as extended examples within the dissertation. The primary analytical technique applied to both compositional sketches as well as to complete musical texts derives from Heinrich Schenker's theory of structural voice-leading and graphical reduction. An important method of critical assessment, from which a number of theoretical arguments are developed, is the contention that Beethoven's contrapuntal language, at least in regard to the op. 127 String Quartet, relies heavily upon a temporal distortion of both form and phrase-periodic gestures, requiring the listener to actively re-construct the continuity of Beethoven's subjective formal archetypes.
Op. 34: Evidence of Arnold Schoenberg's Musikalische Gedanke
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 repetition." This analysis of Op. 34 demonstrates how the enlargement of a surface motive facilitates an understanding of the relation between the parts and the whole, which is perceived as the totality of Gedanke.
A Phenomenology of Music Analysis
Many of the early writings and lectures of the German phenomenological philosopher Martin Heidegger involve investigations into the question of Being. An important part of these investigations is his examination of how we go about the everyday business of existing--doing our jobs, dealing with things in our environment, working through problems, thinking, talking--and what our ways of operating in these everyday activities tell us about our Being in general. Musicians have their own everyday musical tasks, two of the most prominent of which are composing and performing. Composers and performers, like everyone else, have a 'world'--Heidegger's word for the structure of relationships between equipment, persons, and tasks and the way in which a person is situated in that structure--and that 'world' allows them to cope with their musical environment in ways that enable them to make music as composers and performers. Analyzing music is an activity that a Heideggerian approach sees as derived from the primary musical activities of composing and performing. A music analyst trades the possibility of primary musical involvement for a kind of involvement that points out determinate characteristics; hence in adopting an analytical stance, the analyst trades doing something musical for saying something about music. In making such a trade, however, a prior musical involvement--a basic musicality--is always presupposed. Every way of analyzing music has its own way of making determinations, and after detailing the manner of the derivation of the general analytical attitude, this study examines several types of analysis and the ways in which they exemplify the derivative nature of analytical activity. One extended example, an analysis of Jean Sibelius's The Swan of Tuonela, provides several opportunities for discussion (via interspersed passages of commentary) of a view of music analysis drawn from Heideggerian phenomenology.
A Seventeenth-century Musiklehrbuch in Context: Heinrich Baryphonus and Heinrich Grimm’s Pleiades Musicae
Heinrich Baryphonus (1581-1655) and Heinrich Grimm’s (1592/3-1637) didactic treatise, Pleiades musicae (1615/1630), provides a vivid testimony to the state of music education and music theory pedagogy in Protestant Germany in the early seventeenth century. Published initially by Baryphonus for use at the Gymnasium in Quedlinburg and reissued in an expanded format by Grimm for use at the Gymnasium in Magdeburg, the text examines the fundamentals of pitch, intervals, counterpoint, and, in the second edition, triadic theory and composition. Throughout the remainder of the seventeenth century and into the eighteenth century, music theorists including Johann Andreas Herbst (1588-1666), Otto Gibel (1612-1682), and Andreas Werckmeister (1645-1706), used the document as a source for their own musical writings, solidifying its status as a significant contribution to the field of music theory. Recently, scholars such as Carl Dahlhaus, Benito Rivera, and Joel Lester have found value in Pleiades musicae for its role in the early stages of the development of triadic theory and the emergence of harmonic tonality. However, with the exception of the passages on triadic theory, the treatise continues to be relatively unknown. In order to understand the full extent of Baryphonus and Grimm’s contributions to the history of music theory, and to provide a multifaceted context for situating Pleiades musicae in the culture of its time and place of origin, the present study examines both editions of the text from biographical, cultural, educational, philosophical, music-theoretical, and historical perspectives, and includes modern Latin editions and English translations of the two editions of the treatise.
A Study of Root Motion in Passages Leading to Final Cadences in Selected Masses of the Late Sixteenth Century
This study is concerned with the vertical combinations resulting from late sixteenth century cadential formulae and in passages immediately preceding these formulae. The investigation is limited to Masses dating from the last half of the sixteenth century and utilizes compositions from the following composers: Handl, Kerle, Lassus, Merulo, Monte, and Palestrina, Victoria. This study concludes that the progressions I-V-I and I-IV-I appear to be the only two root progressions receiving high enough percentages to be regarded as significant. These percentages are tempered by the fact that I-V-I and I-IV-I may be interpreted as repetitions of standardized cadential formulae found in the sixteenth century. The study also concludes that root motion by fifth accounts for no less than 67.35 per cent of the root movements analyzed during the investigation. The percentage differential between root movement by fifth and root movement by second (the interval receiving the next highest percentage) at no time drops below 40.41 per cent. The evidence indicates that root movement by fifth does account for the majority of the root motion analyzed in final cadential passages of Masses dating from the late sixteenth century. The percentage differential between root motion by second and root motion by third decreases as the chord progressions become longer. None of the differential percentages were judged to be high enough as to merit placing any significance of root motion by second over root motion by third.
A Study of the Relationship Between Motive and Structure in Brahms's op. 51 String Quartets
In 1873, Brahms completed the two op. 51 quartets. These were not the first string quartets Brahms composed, hut they were the first that Brahms allowed to be published. He found the string quartet difficult; as he confided to his friend Alwin Cranz, he sketched out twenty string quartets before producing a pair he thought worthy of publishing. Questions arise: what aspect of the string quartet gave Brahms so much trouble, and what in the op. 51 quartets gave him the inclination to publish them for the first time in his career? The op. 51 quartets are essential to understanding the evolution of Brahms's compositional technique. Brahms had difficulty limiting his massive harmony and polyphony to four solo strings. This difficulty was compounded by his insistence on deriving even the accompaniment from the opening main motivic material. This study investigates the manner in which Brahms distributes the main motivic material to all four voices in these quartets, while at the same time highlighting each voice effectively in the dialogue.
Thematic and Formal Narrative in Respighi’s Sinfonia Drammatica
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 heighten the articulation of the narrative.
Theorizing Atonality: Herbert Eimert’s and Jefim Golyscheff’s Contributions to Composing with Twelve Tones
In 1924, Herbert Eimert’s Atonale Musiklehre was the first published text to describe a systematic approach to composing atonal music. It contains significant contributions to the discourse on the early development of twelve-tone composition. While Eimert uses the term “atonal” to describe his compositional approach, his definition of atonality demands that all twelve tones be present with none repeated, and that they present as complexes not ordered rows. Eimert’s discussion of atonality differs from others of the same period because he focuses on vertical sonorities and introduces “interlocking complexes”, wherein two separate statements of the aggregate can overlap by one pitch or by a set of pitches. Interlocking complexes are an important feature of Eimert’s string quartet Fünf Stücke für Streichquartett, which was published in 1925 and composed at the same time as Atonale Musiklehre was written. In the foreword to Atonale Musiklehre, Eimert clarifies that he is not the originator of the concept of atonality, rather that he absorbed the ideas of Josef Matthias Hauer and Jefim Golyscheff. Twelve-tone complexes appear first in Golyscheff’s 1914 String Trio. He refers to them as “twelve-tone duration complexes” and labels them in the score. As the name “duration complexes” implies, there are examples of serial rotation of rhythm in the Trio, a technique that is not developed further until the 1950s. Combined with the text of Atonale Musiklehre, the compositions of Golyscheff and Eimert from the year immediately following the book’s publication provide insight into the early development of “atonality” and twelve-tone compositional methods. Investigation of these documents that have not been thoroughly discussed in print provides a broader perspective of the development of these methods of composition.
Tonality and the Extended Common Practice in the Music of Thad Jones
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 You, Three and One, and Cherry Juice.
The Traité d'harmonie of Charles-Simon Catel
With the founding of the Paris Conservatory in 1795, a diversity of instructional methods for the teaching of harmony were used. Each theory instructor insisted upon using his own system; some relied heavily upon the theories of Rameau, while others used ideas based on eighteenth century German or Italian theorists. The Conservatory administration, realizing the need to unify theoretical instruction into a single method, formed a committee to evaluate the different harmonic systems available. After considering several treatises, including the theories of Rameau, the committee chose the Traité d'harmonie of Catel as the work best suited for their purposes. This investigation deals with Catel's synthesis of various theoretical principles, concentrating on his concise, often simplistic approach to harmonic theory. The major contribution of the Traité is the classification of chords into two categories: "natural harmony" and "artificial harmony." Catel believed that only one chord exists in harmony, the dominant ninth chord, which he derived from the first nine partials of the overtone series. From this chord, he formed the basic triads of "natural harmony," describing these chords as suspensions ("prolongations") of "natural harmony."
Transposition and the Transposed Modes in Late-Baroque France
The purpose of the study is the investigation of the topics of transposition and the transposed major and minor modes as discussed principally by selected French authors of the final twenty years of the seventeenth century and the first three decades of the eighteenth. The sources are relatively varied and include manuals for singers and instrumentalists, dictionaries, independent essays, and tracts which were published in scholarly journals; special emphasis is placed on the observation and attempted explanation of both irregular signatures and the signatures of the minor modes. The paper concerns the following areas: definitions and related concepts, methods for singers and Instrumentalists, and signatures for the tones which were identified by the authors. The topics are interdependent, for the signatures both effected transposition and indicated written-out transpositions. The late Baroque was characterized by much diversity with regard to definitions of the natural and transposed modes. At the close of the seventeenth century, two concurrent and yet diverse notions were in evidence: the most widespread associated "natural" with inclusion within the gamme; that is, the criterion for naturalness was total diatonic pitch content, as specified by the signature. When the scale was reduced from two columns to a single one, its total pitch content was diminished, and consequently the number of the natural modes found within the gamme was reduced. An apparently less popular view narrowed the focus of "natural tone" to a single diatonic pitch, the final of the tone or mode. A number of factors contributed to the disappearance of the long-held distinction between natural and transposed tones: the linking of the notion of "transposed" with the temperament, the establishment of two types of signatures for the minor tones (for tones with sharps and flats, respectively), the transition from a two-column scale to a single-column one, and the …
Václav Philomathes’ Musicorum Libri Quattuor (1512): Translation, Commentary, and Contextualization
The Czech-born music theorist, Václav Philomathes, wrote the Musicorum libri quattuor in 1512 while attending the University of Vienna. This didactic treatise became one of the most widely published theory treatise of its time with 26 copies of five editions remaining today and covers the topics of Gregorian chant practice, Solmization, Mensural Notation, Choir Practice and Conducting, and Four-voice Counterpoint. Of particular note, is the section on choir practice and conducting, of which there is no equivalent prior example extant today. This dissertation provides a Latin-English translation of Philomathes’s work, as well as produces a critical commentary and comparison of the five editions while positioning the editions within the context of the musico-theoretical background of early-to-mid-16th century scholarship in Central Europe.
Back to Top of Screen