This study investigates the effects of frequency variance on duration perception, using musically trained subjects. In the experiment three silent duration intervals were examined (4.75, 5.00, and 5.25 seconds); each interval was preceded and followed by tone markers. The onset marker was preceded by seven discrete tones one second apart, on the frequency 174.968 Hertz. This established a pulse or an external standard time measure. The subjects made judgments as to whether the offset marker fell "before," "on," or "after," the pulse. The offset marker had a variable frequency. In the study, the direction of the frequency change, the distance of frequency change, and the mathematical intervallic relationships of the two frequencies show possible influence on duration perception.

For the purposes of expressive intent, Carter developed compositional strategies that possess qualities congruent with the musical language in his Second Quartet (1959). He employed strategies including tempo modulation, triple groupings, and large-scale ratios to assemble the musical discourse and to guide the listener's perception of large-scale continuity. I label these devices collectively as "preferential strategies" because it is Carter who selects certain pre-compositional ideas that organize musical material and demarcate structural locations. Tempo modulations that organize dual meters and triple groupings that interact in transitional and transformational ways demonstrate his concern with controlling the overall time continuity through local level organization. Large-scale ratio relations between nine interlocking sections of this four movement work illustrate how Carter employs a local strategy that projects a large-scale structure. Recognizing that Carter's ultimate compositional goal prioritizes temporal processes, these proposed preferred strategies articulate a convergence of musical elements.

This study develops a method for analyzing jazz piano music, primarily focusing on the era 1935-1950. The method is based on axiomatic concepts of jazz harmony, such as the circle of fifths and root position harmonies. 7-10 motion between root and chordal seventh seems to be the driving force in jazz motion. The concept of tritone substitution leads to the idea of a harmonic level, i.e., a harmony's distance from the tonic. With this method in hand, various works of music are analyzed, illustrating that all harmonic motion can be labelled into one of three categories. The ultimate goal of this analytic method is to illustrate the fundamental harmonic line which serves as the harmonic framework from which the jazz composer builds.

The problem with which this investigation is concerned is the determination of compositional styles in terms of manners of employing monadic and dyadic intervals in the music of the common practice period. An aspect for determining style is proposed by way of comparing the frequency of occurrence of dyads and monads in selected musical examples from the baroque, classical, and romantic periods. Chapter I is a discussion of the problem and methodology of the study. Chapters II, III, and IV present analytic comparison of examples in the baroque, classical, and romantic periods respectively. Chapter V presents a summary of the findings with references to the pedagogical applications of the two-part framework principle.

The objective of this paper is to show how Olivier Messiaen's Mode de valeurs et d'intensites influenced the development of postwar serialism. Written at Darmstadt in 1949, Mode de valeurs is considered the first European work to organize systematically all the major musical parameters: pitch, duration, dynamics, articulation, and register. This work was a natural step in Messiaen's growth toward complete or nearly complete systemization of musical parameters, which he had begun working towards in earlier works such as Vingt regards sur 1'Enfant-Jesus (1944), Turangalila-symphonie (1946-8), and Cantyodjaya (1949), and which he continued to experiment with in later works such as Ile de Feu II (1951) and Livre d'orgue (1951). The degree of systematic control that Messiaen successfully applied to each of the musical parameters influenced two of the most prominent post-war serial composers, Pierre Boulez and Karlheinz Stockhausen, to further develop systematic procedures in their own works. This paper demonstrates the degree to which both Boulez' Structures Ia (1951) and Stockhausen's Kreuzspiel (1951) used Mode de valeurs as a model for the systematic organization of musical parameters.

This thesis provides evidence that a particular "topos" from the high Baroque's exalted style, the so-called chaconne bass, made a profound impact on a considerable body of Mozart's compositions from the last ten years of his life in Vienna. After identifying the topos in the first chapter, a detailed study in chapter two shows how Mozart's faith in the extraordinary emotional power carried by this topos was enough for him to work it into all of the completed keyboard fantasias. Chapter three illustrates that an understanding of the chaconne bass and its unmistakable association with the fantasia style can shed new light on three of Mozart's most enigmatic compositions from his final period, K. 465, K. 491, and K. 527.

Harry Partch's tuning system is an important contribution to tuning theory, and his music is original and significant. Part One of this study presents a brief biography of Partch, a discussion of his musical aesthetics (Monophony and Corporeality), and a technical summary of his tuning system. These elements are placed in historical perspective. Part Two presents a comprehensive analysis of "And on the Seventh Day Petals Fell on Petaluma," discussing the organization of formal, textural, rhythmic, linear, and tonal elements in the thirty-four "verses" of the work. Part Two concludes by showing how large-scale structure in the work is achieved through an overlay process.

The purpose of this study is to examine the pitch content and compositional techniques of Takemitsu's recent solo piano works, which have not been analyzed by Koozin, and to trace the evolution of his techniques in his solo piano works during his career. It also discusses how Takemitsu projects his philosophy and aesthetics of musical composition through Western musical idioms.

The problem with, which this thesis is concerned is that of analyzing and comparing the fugal writing and contrapuntal style of J. S. Bach in the fugue expositions of The Well-Tempered Clavier and that of Paul Hindemith in the fugue expositions of the Ludus Tonalis. This comparison is made on the basis of a comprehensive analysis of the fugal expositions both collections of fugues mentioned ( The Well-Tempered by Bach and the Ludus Tonalis by Hindemith). Chapter I includes a discussion of the careers and compositional techniques of Bach and Hindemith. An emphasis is placed on a comparison of Bach's fugal writing with that of his immediate predecessors (composers of the seventeenth and early eighteenth centuries who were writing in the fugal style) and on a comparison Of Hindemith's theory of tonality, as expressed in The Craft of Musical Composition, with that of the traditional harmonic concept of Bach's day. Chapter II deals with the evolution of the fugal concept. In this chapter, imitative forms of composition which gradually evolved toward the fugue are traced from their very early beginnings through the sixteenth, seventeenth, eighteenth, nineteenth, and twentieth centuries. Emphasis is placed on the fugal form that Bach used and …