Thesis (Ph. D.) -- City University of New York, 1986. / "A dissertation submitted to the Graduate Faculty in Music ... " Includes bibliographical references (leaves 406-416).

Thesis (Ph. D.)--University of Wisconsin--Madison, 1958. / Typescript. Abstracted in Dissertation abstracts, v. 19 (1958) no. 2, p. 269. Vita. eContent provider-neutral record in process. Description based on print version record. Includes bibliographical references (leaves 278-283).

No description available.

This thesis contains a collection of results in computational geometry that are inspired from music theory literature. The solutions to the problems discussed are based on a representation of musical rhythms where pulses are viewed as points equally spaced around the circumference of a circle and onsets are a subset of the pulses. All our results for rhythms apply equally well to scales, and many of the problems we explore are interesting in their own right as distance geometry problems on the circle. / In this thesis, we characterize two families of rhythms called deep and Euclidean. We describe three algorithms that generate the unique Euclidean rhythm for a given number of onsets and pulses, and show that Euclidean rhythms are formed of repeating patterns of a Euclidean rhythm with fewer onsets, followed possibly by a different rhythmic pattern. We then study the conditions under which we can transform one Euclidean rhythm to another through five different operations. In the context of measuring rhythmic similarity, we discuss the necklace alignment problem where the goal is to find rotations of two rhythms and a perfect matching between the onsets that minimizes some norm of the circular distance between the matched points. We provide o (n2)-time algorithms to this problem using each of the ℓ1, ℓ2, and ℓinfinity norms as distance measures. Finally, we give a polynomial-time solution to the labeled beltway problem where we are given the ordering of a set of points around the circumference of a circle and a labeling of all distances defined by pairs of points, and we want to construct a rhythm such that two distances with a common onset as endpoint have the same length if and only if they have the same label.

This thesis studies measures of musical rhythm complexity. Informally, rhythm complexity may be thought of as the difficulty humans have performing a rhythm, listening to a rhythm, or recognizing its structure. The problem of understanding rhythm complexity has been studied in musicology and psychology, but there are approaches for its measurement from a variety of domains. This thesis aims to evaluate rhythm complexity measures based on how accurately they reflect human-based measures. Also, it aims to compare their performance using rhythms from Africa, India, and rhythms generated randomly. The results suggest that none of the measures accurately reflect the difficulty humans have performing or listening to rhythm; however, the measures do accurately reflect how humans recognize a rhythm's metrical structure. Additionally, the results suggest a need for normalization of the measures to account for variety among cultural rhythms.

No description available.

An attempt has been made to determine whether or not a handbook to be used by student teachers and a handbook to be used by supervising teachers would be a significant and worthwhile contribution, not only to Taylor University, but to education in general.

Thesis (Ph. D.)--University of Washington, 1997. / Vita. Includes bibliographical references (leaves [130]-156).

Thesis (D. Mus. Arts) - University of Washington. / Tape recording (7" reel) of Bach's Toccata in D minor for Harpsichord in pocket. Bibliography: ℓ. [83].

Thesis (Ph. D.)--Indiana University, 2003. / Includes bibliographical references (leaves 418-425). Also available online (PDF file) by a subscription to the set or by purchasing the individual file.