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 purpose of the study is the investigation of the topics of transposition and the transposed major and minor modes as discussed principally by selected French authors of the final twenty years of the seventeenth century and the first three decades of the eighteenth. The sources are relatively varied and include manuals for singers and instrumentalists, dictionaries, independent essays, and tracts which were published in scholarly journals; special emphasis is placed on the observation and attempted explanation of both irregular signatures and the signatures of the minor modes. The paper concerns the following areas: definitions and related concepts, methods for singers and Instrumentalists, and signatures for the tones which were identified by the authors. The topics are interdependent, for the signatures both effected transposition and indicated written-out transpositions. The late Baroque was characterized by much diversity with regard to definitions of the natural and transposed modes. At the close of the seventeenth century, two concurrent and yet diverse notions were in evidence: the most widespread associated "natural" with inclusion within the gamme; that is, the criterion for naturalness was total diatonic pitch content, as specified by the signature. When the scale was reduced from two columns to a single one, …

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 …

General-Bass in drey Accorden (1756), the first of Johann Friedrich Daube's theoretical works, is a practical instruction manual in thorough-bass accompaniment. It consists of a sixteen page preface followed by 215 pages of text and musical examples. The twelve chapters begin with a presentation of interval classification and a discussion of consonance and dissonance. Daube then explains a theory of harmony in which all "chords" are derived from three primary chords. These are illustrated with regard to their sequence in harmonic progressions, their resolutions—common and uncommon—, and their use in modulation. Seventy-two pages of musical examples of modulations from all major and minor keys to all other keys are included. Particular attention is given to the fully diminished seventh chord, which is illustrated in all inversions and in numerous modulatory progressions. Daube devotes one chapter to three methods of keyboard accompaniment. The subject matter includes textures, dynamics, proper doubling, the accompaniment of recitatives, full-voiced accompaniment, the use of arpeggiation, trills, running passages, and ornamentation in general.

The internal unity of the themes in a sonata-allegro movement and the external unity of the movements in a sonata cycle are crucial elements of Beethoven's compositional aesthetic. Numerous theorists have explored these aspects in Beethoven's sonatas, symphonies, quartets, and concertos. Similar research into the independent variation sets for piano, excluding Opus 120, has been largely neglected as the result of three misconceptions: that the variation sets, many of which were based on popular melodies of Beethoven's time, are not as worthy of study as his other works; that the type of hidden internal relationships which pervade the sonata cycle are not relevant to the variation set since all variations are, by definition, related to the theme; and that variations were composed "additively," that is, one after another, without any particular regard for their order or relationship to one another. The purpose of this study is to refute all three of these incorrect assumptions. Beethoven was concerned with the order of variations and their relationship to one another, and he was able to transcend the additive tendency in a number of ways. Some of his methods included registral connection, registral expansion, rhythmic acceleration, textural expansion, dynamics, articulation, and motivic similarities. …

With the founding of the Paris Conservatory in 1795, a diversity of instructional methods for the teaching of harmony were used. Each theory instructor insisted upon using his own system; some relied heavily upon the theories of Rameau, while others used ideas based on eighteenth century German or Italian theorists. The Conservatory administration, realizing the need to unify theoretical instruction into a single method, formed a committee to evaluate the different harmonic systems available. After considering several treatises, including the theories of Rameau, the committee chose the Traité d'harmonie of Catel as the work best suited for their purposes. This investigation deals with Catel's synthesis of various theoretical principles, concentrating on his concise, often simplistic approach to harmonic theory. The major contribution of the Traité is the classification of chords into two categories: "natural harmony" and "artificial harmony." Catel believed that only one chord exists in harmony, the dominant ninth chord, which he derived from the first nine partials of the overtone series. From this chord, he formed the basic triads of "natural harmony," describing these chords as suspensions ("prolongations") of "natural harmony."

Antoine Reicha stands as an important figure in the growing systematization of musical form. While Traite de melodie (1814) captures the essence of eighteenth-century concern with tonal movement and periodicity, Reicha's later ideas as represented in Traite de haute composition musicale (1824-26) anticipate descriptions of thematic organization characteristic of his nineteenth-century successors. Three important topics emerge as crucial elements: melody, thematic development, and schematic categorization of complete pieces.

Allen Forte's theory of pitch-class set structure has provided useful tools for discovering structural relationships in atonal music. As valuable as set—theoretic procedures are for composers and analysts, the extent to which set relationships are perceptible by the listener largely remains to be investigated. This study addresses the need for aural-perceptual considerations in analysis, reviews related research in music perception, and poses questions concerning the aural perceptibility of set relationships. Specifically, it describes and presents the results of a computer-assisted experiment in testing the perceptibility of set-equivalency relationships.

This thesis treats Daniel Read's music analytically to establish style characteristics. Read's fuging tunes are examined for metric placement and structural occurrence of dissonance, and dissonance as text painting. Read's comments on dissonance are extracted from his tunebook introductions. A historical chapter includes the English origins of the fuging tune and its American heyday. The creative life of Daniel Read is discussed. This thesis contributes to knowledge of Read's role in the development of the New England Psalmody idiom. Specifically, this work illustrates the importance of understanding and analyzing Read's use of dissonance as a style determinant, showing that Read's dissonance treatment is an immediate and central characteristic of his compositional practice.

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 purpose of the thesis is to analyze formally, harmonically and melodically the five movements of the suite both as separate movements and inclusively as one cohesive unit. The thesis will be written in three parts: Part One will include a biographical sketch of the composer, a general discussion of his music, background information on the suite and Dett's antecedents and contemporaries influencing him. Part Two will discuss the following: A) Form, B) Harmonic Analysis, and C) Melodic Analysis and the influences of black folk idioms. Part Three will include the keyboard music of Dett's contemporaries as compared to his suite in terms of their contrasts and similarities.

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.