James Sellars has established himself as one of America's foremost composers whose eclectic style reveals a wealth of influences. His artistic combination of various traditional and avant-garde techniques, along with his sensitive and expert craftsmanship has earned him an important position in contemporary American music. Sellars' compositional styles have encompassed neo-Romanticism, in his early days, through post-serialism and Dada to an eclectic, post-Romantic style utilizing popular elements including electro-acoustic techniques. His extensive catalog of over 150 compositions includes works for orchestra, opera, chorus, dance, chamber, voices with ensemble, solo voice, piano, instrumental solos, band, and media. Sellars' compositions for piano solo span a 38-year period and total 17 works, the most important of which are his six one-movement sonatas, which represent, according to Sellars, "a journey from modernism to post-modernism." Their value lies in their eclectic stylistic approaches, artistic nd technical challenges, and pianistic effectiveness. The first three sonatas, incorporating post-serial elements, fall into a modernist stylistic stance while numbers four through six, in postmodern style, contrast one another drastically. Sonata Brasileira, recalls the broad sweeping gestures of the Romantic period; Sonata V reveals the influence of the absurdist Dada movement; and the last sonata Patterns on a Field, blends …

Historically, composers have used methods in addition to inspiration in writing music. Regardless of the source materials they used, composers ultimately rely on their musical sensitivity to inform the compositional decision-making. Discuses the rotational aspects of decimals that are created from certain prime-number denominators, and focuses on the prime number 17. Shows how these decimals can be transformed by converting them to different number bases. Looks at the Golden Proportion and its use in creating formal structures. Examines compositional and aesthetic issues arising from using number series to generate the pitches, rhythms, and sections in the Concerto for Organ and Orchestra. This process of composition reveals musical gestures that may not have been discovered using more intuitively based approaches to composition. Shows how musical sensitivity was necessary in shaping the numerically derived material in order to create aesthetically satisfying music.

This study documents and analyzes cyclic patterns used as melodic vocabulary in John Coltrane's improvisations from compositions of 1965 to 1967. The analysis is categorized in two distinct sections. The first section analyzes melodic vocabulary that is derived from the cycle of descending major thirds progressions found in the compositions of 1959 to 1960. The second section analyzes melodic vocabulary that is derived from Nicolas Slonimsky's Thesaurus of Scales and Melodic Patterns using the theoretical terminology incorporated in the treatise. Musical examples consist of patterns from the Thesaurus and excerpts from selected improvisations of John Coltrane as transcribed by Andrew White. Important scholarly contributions relevant to the subject by Carl Woideck, Lewis Porter, David Demsey, and Walt Weiskopf are included. Every effort has been made to cite interviews with musicians and commentaries by writers contemporary to that period of time with special emphasis on the important influence of Thelonious Monk, Miles Davis, and Ornette Coleman. Chapter headings include: Literature Review and Methodology; Thelonious Monk, Miles Davis, and Ornette Coleman: Converging Influences; Analysis: Coltrane's Major Thirds Harmonic Cycles Used as Melodic Vocabulary; Interval Cycles in Coltrane's Melodic Vocabulary Based on Patterns from Slonimsky's Thesaurus; Summary and Conclusion.