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.

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.

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.

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 …

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.

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.

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 …

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 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 …

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.

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.

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.

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.

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 …

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.

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.

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 …

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.

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.

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 …

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.

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 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 …