This thesis explores how the harmonic structures of J.S. Bach's triple fugues interact with their formal, contrapuntal designs. It attempts to explain how each of these elaborate fugues is supported by a single, uninterrupted structure that holds the entire work together. In Bach's fugues one generally encounters large-scale goal-directed motion towards the concluding tonic; this continuous harmonic motion towards the final tonic is consistent with the aesthetics of the Baroque style, which valorizes constant motion or dynamism.

Stravinsky seldom explained the intended theme of his works; however, he chose to do so with his Symphony in Three Movements. Stravinsky describes the first movement as a reflection on war films documenting scorched-earth tactics in China. He also states that the third movement is a reflection on the newsreels of goose-stepping soldiers, depicting the plot of the war in its entirety. In his descriptions, Stravinsky left out the second movement of the work. However, the movement already had a life of its own. The second movement expands a theme Stravinsky originally wrote for the movie The Song of Bernadette. The author, Franz Werfel, asked Stravinsky to compose music for the film when the two discussed the work and its central ideas. Although it did not appear in the film, Stravinsky recycled the music for the Symphony in Three Movements. In my opinion, the ideas of hope depicted in Werfel's novel are used by Stravinsky to evoke ideas of the importance of faith in the fallen world. My analysis aims to show the musical means used by Stravinsky to allow the central ideas from The Song of Bernadette to pervade the entirety of the Symphony in Three Movements.

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 …

One of the difficulties of nineteenth-century form studies is ambiguity in ascertaining which formal types are at work and in what ways. This can be an especially difficult problem when multiple formal types seem to influence the construction of a single composition. Drawing on some recent innovations in form studies proposed by Steven Vande Moortele, Janet Schmalfeldt, and Caitlin Martinkus, I first develop a set of analytical tools specifically made for the analysis of sonata/variation formal hybrids. I then refine these tools by applying them to the analysis of two pieces. Chopin's Fourth Piano Ballade can be understood from this perspective as primarily following the broad outlines of a sonata form, but with important influences from the recursive structures of variation forms; Franck's Symphonic Variations, on the other hand, are better viewed as engaging most of all with multiple variation-form paradigms and overlaying them with some of the rhetorical and formal structures of sonata forms. I conclude with a brief speculation on some further, more general applications of my methodology.

From 1831 to 1836, Victor Hugo and Louise Bertin collaborated on an opera titled La Esmeralda. For Hugo, it would be the only opera libretto he would ever write, a mere footnote to his collection of widely admired novels, plays, and poetry; for Bertin, however, it would become her most important work, yet seemingly destined to fade into obscurity like so many great pieces of art. Using Schenkerian analysis, this thesis uncovers the tonal and voice-leading structure of the first act of La Esmeralda. A study of this nature, which operates from the premise that forms as large and complex as opera can be examined in terms of a large-scale structure, is valuable because it sheds new light on the correlation of tonal structure and dramatic organization. Through these methods, Act I of La Esmeralda is read as a background progression from D major (with F# kopfton) to F major, composing-out an F#/F♮ dichotomy introduced in the overture. With reference to several musical-symbolic ideas - including the representation of virtue through the pitch F#, the key of Notre-dame's bells - it is shown how the musical structure of Act I expresses the Hugolian themes of fate and decay.

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, …

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.

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.

When talking about tonal music, we sometimes tend to take for granted the idea that the tonic should always be clearly established either at the beginning or the end. However, there are composers who sometimes deviate from the normal path by creating different types of riddles or tonal enigmas in their works. Some of these riddles can be solved later on as the piece progresses; yet others may need to bexplained with the help of some external references. This thesis examines three such examples, each of which poses its unique enigma. The second movement of Bruckner's Symphony No. 1 presents a dualism between Ab and F (paralleled by their dominants Eb and C); Brahms's Alto Rhapsody involves an enormous auxiliary cadence spanning 2/3 of the piece and a seemingly plagal cadence which turns out to be authentic with the V suppressed; and eventually, Grieg's setting of Dereinst, dereinst, Gedanke mein provides a paradoxical ending which may be understood as incorporating the composer's attitude towards the text.

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 …

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 …

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, …

Alberto Ginastera completed his ballet Panambí in 1937. The ballet was arranged as a symphonic suite, and was performed the same year at the Teatro Colon in Buenos Aires, conducted by Juan José Castro. Panambí marked the beginning of Alberto Ginastera’s long and successful career as an Argentine composer. Chapter I of this document provides a brief introduction into the history behind Alberto Ginastera’s Panambí suite, and includes a review of the research that is exclusively devoted to the suite, as well as documents that do not provide direct analyses of Panambí, but contain information that aid in a better understanding of the suite’s composition. Chapter II includes analyses of the suite that illustrate important elements that contribute to the structure and sound of the Panambí suite. These components include Ginastera’s construction of the La Noche theme found in the first movement and its use as a master set, his use of diatonic collections and pitch centricity, the importance of unordered pitch class intervals IC1 and IC6, his use of aggregate completion as a compositional method, and his use of local motives over larger spans of temporal space. Chapter III explores the possibility that many of these compositional methods are …

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.

This thesis examines formal organization in ground-bass works. While it is true that many or even most works of the ground-bass repertoire are variation sets over a ground, there also exist many ground-bass works that are not in variation form. The primary goal of this thesis is to elucidate the various ways in which such non-variation formal organizations may be achieved. The first chapter of this work discusses the general properties of ground basses and various ways that individual phrases may be placed in relation to the statements of the ground. The second chapter considers phrases groupings, phrase rhythm, and the larger formal organizations that result. The third chapter concludes this study with complete analyses of Purcell’s “When I am laid in earth” from Dido and Aeneas and Delanade’s “Jerusalem, convertere ad dominum Deum tuum” from his setting of the Leçons de ténèbres.

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 …

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 …

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 …

This study examines the formation of a unique chromatic and formal language in Musica Ricercata by György Ligeti. The study begins by examining statements from an interview with Ligeti conducted by Ove Nordwall in 1979. The interview discusses his compositional experiments from the early 1950s, the period in which Musica Ricercata was composed. Working from Ligeti’s words, “simple structures” are defined as repeating formations of rhythms and intervals with easily discernable features. These features must be salient such that when the structure is altered, it is still clearly and audibly recognizable. The musical and political environment in Hungary at the time is established, providing context for this early experimentation with compositional parameters. The analysis begins with an overview of the entire work, outlining developments of pitch-class density, symmetrical pitch-class structures, and notated accelerandi over the course of the multi-movement work. Analyses of simple structures in each movement elucidate both Ligeti’s experimental approaches to chromaticism, along with more traditional aspects, with special reference to Bartók’s compositional style.

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 …

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.

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 …

Despite its generally agreed importance, very little has been written about The Apostles. Even among the extant publications that address The Apostles, scholars have focused on its history and development, its reception, or analytical descriptions of its surface themes. The aim of this study will therefore be to provide neither a biography of Elgar, nor an account of the genesis of the work, but to analyze The Apostles in a manner that will achieve a deeper understanding of the oratorio. Chapter 1 explores the complexities that surround Judas and the different ways in which he was perceived throughout history. Then, through my analysis of the surface motives in Chapter 2 and their significance in relation to the large-scale harmonic structure in Chapter 3, I will suggest that Elgar does not denigrate Judas as the betrayer of Christ in The Apostles, but rather depicts him as a tragic yet crucial figure in achieving the redemption of mankind, and through this Judas himself is redeemed.

Webern scholarship has not comprehensively examined op. 25, drei lieder. If the selection of text for op. 25 is viewed as one work in three movements they create a ternary form (A-B-A1). To show how this form is developed in the music the author creates a new analytical system based on Schoenberg's Grundgestalt which is defined by three basic ideas: symmetry, liquidation, and variation. The relationship between the voice and accompaniment and Webern's deliberate manipulation of the text is used to reveal the use of a program which is then tied to the numerical symbolism of 2 and 3.