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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.
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.
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.
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.
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 …
An Analysis of Periodic Rhythmic Structures in the Music of Steve Reich and György Ligeti
The compositions of Steve Reich and György Ligeti both contain periodic rhythmic structures. Although periods are not usually easily perceived, the listener may perceive their combinations in a hierarchy of rhythmic structures. This document is an attempt to develop an analytical method that can account for this hierarchy in periodic music. I begin with an overview of the features of Reich's and Ligeti's music that contribute to the property of periodicity. I follow with a discussion of the music and writings of Olivier Messiaen as a precedent for the periodic structures in the music of Reich and Ligeti. I continue by consulting the writings of the Israeli musicologist Simha Arom and describing the usefulness of his ideas and terminology in the development of my method. I explain the working process and terminology of the analytical method, and then I apply it to Reich's Six Pianos and Ligeti's Désordre.
Toward a Unified Whole: Allan Pettersson's Symphony No. 5.
The earlier symphonies of the 1950s embody a gradual realization of Pettersson’s own unique symphonic style, containing large-scale development, repetition, and reiteration. Symphony no. 5 takes these ideas to the extreme and represents the codification of techniques that are further developed in later symphonies. The present study examines the structure of the symphony from a voice-leading perspective. Included in this study is an analysis of the construction of the piece focusing on the development and expansion of motives that operate as structural determinants and the use of chromatic saturation to create intensity and direction. The use of linear analysis in a post-tonal context makes necessary a section devoted to explicating the graphic notation shown in the analysis and the analytical process of determining linear progressions.
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.
Tonal Perspectives in the Selected Piano Preludes of Shostakovich (Op.34: nos.1, 3, 6, 14, and 24): an Analytical Study
This study is an investigation of tonal structures in selected preludes of Shostakovich's Op.34. Explanations and analytic perspectives provide support of tonality oriented interpretation for the compositions which often appear to be "atonal." Chapter One is divided into (1) historical perspectives of the prelude as form, and (2) Summary of Shostakovich's life and work. Chapter Two contains a historical background of (1) the development of Shostakovich's compositional styles, emphasizing his early style of piano composition, and (2) the impact of his "Lady Macbeth," the crisis and its influence on later works. Chapter Three deals with the problems of and analytical approaches in the study of the selected preludes.
Deconstructing Webern's Op 25, Drei Lieder: a Multidimensional Assessment
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.
Dmitri Shostakovich and the Fugues of Op. 87: A Bach Bicentennial Tribute
In 1950-51, for the bicentennial of the death of J. S. Bach, Dmitri Shostakovich wrote his collection of Twenty-four Preludes and Fugues, Op. 87. This thesis is a study of the fugal technique of Shostakovich as observed in Op. 87, in light of the fugal style of Bach as observed in The Well-Tempered Clavier, Volume One. Individual analyses of each of the twenty-four Shostakovich pieces yield the conclusion that Op. 87 is an emulation of Bachian fugal methods as observed in The Well-Tempered Clavier, Volume One.
The Fundamental Unity in Brahm's Horn Trio, Op. 40
Different sections or movements of a piece are associated with each other and contain the composer essential thought. A vague affinity of mood and a resembling theme or form testifies to the relationship. However, the evidence is insufficient to reveal the unification of the different sections or movements since these are under restraint of external music proofs. In order to figure out the relationship, thus, identical musical substance should be discovered. In the study the substantial evidence, which can be called unity or unification, is mainly discussed. The unity is illustrated with Brahms's Horn Trio, Op.40 that is one of the Brahms's significant works. The unity found in the Horn Trio is based on the internal structure and structural voice-leading notes. The unity in the Horn Trio is the fundamental structural unity that is divided into initial ascent and voice exchange, and fundamental voice-leading motive. The fundamental unity seriously affects the master piece and penetrates the movements as a whole. Further, it reveals the hidden connections to the historical background of the Horn Trio and the philosophy of Brahms for the music. Even though a piece consists of several sections or movements, the entire piece presents homogeneity. The identity of the composer's underlying philosophical thought suffices to discern the musical unity in a piece. Thus, the investigation of unity is one of the critical ways to understand not merely a piece but also the philosophy of a composer. The study will help to enhance the audience's interpretation of music.
Reevaluating twelve-tone music: analytical issues in the second movement of Anton Webern's Quartet for Violin, Clarinet, Tenor-Saxophone and Piano, Op. 22.
Twelve-tone music illustrates many characteristics relative with those of conventional tonal form, though works are based on a different composition method. The fundamental question of twelve-tone music arises in debate on terminology between tonal and atonal as well as methodology of musical analysis. Certain theorists try to approach twelve-tone music by traditional harmonic views rather than by pitch-class set theory. Conventional harmonic aspects arise from the fact that both tonal and twelve-tone music share similar narrative strategies. This point is explored in examining Anton Webern's Quartet for Violin, Clarinet, Tenor-Saxophone and Piano, Op. 22, which displays connection to tonal music. The present study seeks to examine certain features of the composer's working in pitch materials; i.e., the dispositions of pitch classes and the characteristics of the matching dyads, and thereby to disclose the connection between twelve-tone methods and conventional harmony.
Composing-Out Notre-Dame: How Louise Bertin Expresses the Hugolian Themes of Fate and Decay in La Esmeralda
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#/Fâ™® 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.
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 DĂ©sordre. The analyses focus on passages where the metric dissonance becomes ever more pronounced and ends up obliterating any sense of meter.
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.
Formal Organization in Ground-bass Compositions
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.
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.
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.
Tonal Enigmas: A Study of Problematic Openings and Endings
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.
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.
Continuous Harmonic Structure in J.S. Bach's Triple Fugues in The Well-Tempered Clavier and Art of Fugue
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.
Toward a Descriptive Eidetics of Atonality: a Phenomenological Analysis of Webern Op 3, No 1
David Lewin, in his 1986 article “Music Theory, Phenomenology, and Modes of Perception,” offers a promising methodological approach for the analysis of tonal music from a phenomenological perspective. Lewin’s phenomenological method has a propensity to render seemingly contradictory readings in such a way that their respective validities can be preserved by articulating them within differentiated contexts. Expanding upon Lewin’s phenomenological work with analyzing tonal music, I propose that a phenomenological investigation of an atonal song, Webern op. 3, no. 1, from within a variety of differentiated contexts can shed light upon what it means to perceive a piece of music as being “not in a key.” This thesis will open with an introduction to Lewin’s phenomenological work and the writings of Edmund Husserl and Izchak Miller that Lewin used as a point of departure. The analysis of Webern op. 3, no. 1, that follows will regard the voice and piano parts as differentiated musical contexts in order to investigate the interaction between these contexts as they generally undermine the perception of tonality in the song. Finally, the notion of a “musical context” as an organizing factor of musical perception will be expanded to include the different analytical approaches of Olli Väisälä and Elmar Budde as they interact to reveal contrasting aspects of the song’s multivalent structure.
“A Metaphor for the Impossibility of Togetherness”: Expansion Processes in Gubaidulina’s First String Quartet
This thesis illustrates how I hear processes of expansion organizing musical materials in the First String Quartet. By employing a flexible approach to expansion and developing models of wedge and additive expansions beyond the bounds of specific voice-leading or rhythmic augmentation procedures, expansion processes can be understood in each of the varied episodes of the quartet. Gubaidulina’s use of expansion processes, embodied organically in pitch, rhythm, form, and physical space, unifies the episodic materials of the First String Quartet and provides an inevitable conclusion to the work’s loose narrative.
Jacques Ibert: an Analytical Study of Three Movements From Histoires
Although many biographical studies are available on Jacques Ibert, few contain significant analytical commentary. In this study I examine three movements from Ibert’s Histoires for piano which was composed between 1920 and 1921 and was premiered in 1923. The three movements are “La menuese de tortues d’or,” “Le petit âne blanc,” and “La marchande d’eau fraîche.” I primarily use Schenkerian analysis to identify characteristics of Ibert’s compositional language. Significant aspects of impressionism and Debussian influence are also identified as related elements to my analysis. Many expected elements of Schenkerian theory are absent in Histoires. The conclusions of this study are consistent with those of other analysts who apply Schenkerian methodology to impressionist music such as Richard Parks, Adele Katz, Felix Salzer, and Edward Laufer.
Igor Stravinsky: An Analytical Study of Programmatic Design of His Symphony in Three Movements
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.
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.
The Published Writings of Ernest McClain Through Spring, 1976
This thesis considers all of Ernest McClain's published writings, from March, 1970, to September, 1976, from the standpoint of their present-day acoustical significance. Although much of the material comes from McClain's writings, some is drawn from other related musical, mathematical, and philosophical works. The four chapters begin with a biographical sketch of McClain, presenting his background which aided him in becoming a theoretical musicologist. The second chapter contains a chronological itemization of his writings and provides a synopsis of them in layman's terms. The following chapter offers an examination of some salient points of McClain's work. The final chapter briefly summarizes the findings and contains conclusions as to their germaneness to current music theory, thereby giving needed exposure to McClain's ideas.
Structural Octatonicism in Cindy McTee's Symphony No.1: Ballet for Orchestra
Cindy McTee's Symphony No. 1: Ballet for Orchestra is composed primarily of pitch materials from the octatonic collections that contain both diatonic and non-diatonic relationships in the themes, harmonic content, and larger structure of the symphony. Because the octatonic collections contain the potential for both diatonic and non-diatonic relationships, the piece is argued to have octatonic structure, as the octatonic collection is capable of producing both relationships. The second chapter contains a review of the literature, focusing particularly on the work of Arthur Berger, Pieter C. van den Toorn, Richard Taruskin, and Allen Forte. Next, the octatonic structure of the symphony is shown in the thematic material. Finally, the harmonic support and large-scale structure of the piece are shown to contain octatonic relationships as well.
Syntactic Structures in Functional Tonality
Chapter I examines linguistic structures fundamental to most tasks of comprehension performed by humans. Chapter II proposes musical elements to be linguistic structures functioning within a musical symbol system (syntax). In this chapter, functional tonality is explored for systemic elements and relationships among these elements that facilitate tonal understanding. It is postulated that the listener's comprehension of these tonal elements is dependent on cognitive tasks performed by virtue of linguistic competence. Chapter III examines human information processing systems that are applicable both generally to human cognition and specifically to tonal comprehension. A pedagogy for listening skills that facilitate tonal comprehension is proposed in the fourth and final chapter and is based on information presented in preceding chapters.
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.
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