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 …

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.

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, …

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, …

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.

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 …

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 …

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.

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 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.

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 …

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 …

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.

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.