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Contour Modeling by Multiple Linear Regression of the Nineteen Piano Sonatas by Mozart

Theories of musical contour can be described as the study of the change in one musical parameter as a function of another. In my dissertation, contour theories proposed by Robert Morris, Michael Friedmann, Elizabeth Marvin, Paul Laprade, Ian Quinn, Robert John Clifford, Larry Polansky and Richard Bassein are reviewed. In general, these authors approach changes in pitch as a function of time. A commonality between these theories was shown to be the use of a system of pitch level identification based on the relative highness or lowness of the pitches, not based on actual pitch frequencies or pitch intervals in the melody. Additionally, these theories did not account for rhythmic or durational elements of the pitches as they are articulated in time. Music perception studies were cited that indicated that contour can play an important role in the recognition and memory of a melody, and that pitch interval and rhythmic components are vital elements in music understanding. Because these contour theories lacked the important musical elements of pitch and rhythm, an analytical method for the study of musical contour that incorporates both of these in its model of a melody is developed. This analytical method uses the mathematical technique of multiple linear regression to develop a model of the melody that can be graphed as representative of the contour of the actual melody. This method was used to analyze the first themes from the first movements of the nineteen piano sonatas composed by Mozart. Using regression modeling, the sonata melodies were categorized into two melody types: Type MD and Type LB. Analytical methods proposed by other theorists were then used to analyze selected melodies, and a comparison between the multiple linear regression model and these results was made. / A Dissertation Submitted to the School of Music in Partial Fulfillment of the
Requirements for the Degree of Doctorate of Philosophy. / Fall Semester, 2003. / October 21, 2003. / Mathematics, Statistics, Melodic Modeling, Music Theory / Includes bibliographical references. / Jane Piper Clendinning, Professor Directing Dissertation; Kai-Sheng Song, Outside Committee Member; James R. Mathes, Committee Member; Peter Spencer, Committee Member.

Identiferoai:union.ndltd.org:fsu.edu/oai:fsu.digital.flvc.org:fsu_175732
ContributorsBeard, R. Daniel (authoraut), Clendinning, Jane Piper (professor directing dissertation), Song, Kai-Sheng (outside committee member), Mathes, James R. (committee member), Spencer, Peter (committee member), College of Music (degree granting department), Florida State University (degree granting institution)
PublisherFlorida State University, Florida State University
Source SetsFlorida State University
LanguageEnglish, English
Detected LanguageEnglish
TypeText, text
Format1 online resource, computer, application/pdf
RightsThis Item is protected by copyright and/or related rights. You are free to use this Item in any way that is permitted by the copyright and related rights legislation that applies to your use. For other uses you need to obtain permission from the rights-holder(s). The copyright in theses and dissertations completed at Florida State University is held by the students who author them.

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