Theses and Dissertations
This collection includes both ASU Theses and Dissertations, submitted by graduate students, and the Barrett, Honors College theses submitted by undergraduate students.
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- Creators: Norton, Kay
Description
The close relationship between mathematics and music has been well documented in Western cultures since at least the time of the ancient Greeks. While many connections have been made between math and music over the centuries, it seems that many modern researchers have attempted to create interdisciplinary bridges between these disciplines by using mathematical principles to explain several essential aspects of music: harmony, melody, form, and rhythm. Using these established connections, in addition to several of my own, I have created an undergraduate level survey of Western music course for a population of mathematically inclined students. This approach makes music history comprehensible, relevant, and engaging to my target demographic.
The course is organized into three units. The first unit begins with the music of Ancient Greece and Early Christianity and concludes with music of the Renaissance (roughly 1300-1600). The second unit will cover what classical musicians call the “common practice period” (roughly 1600-1900). This span of time covers three musical eras – Baroque, Classical, and Romantic. The final unit will cover the 20th century up to the present. During this course, I introduce the students to Western music using examples, concepts, terminology, and methodology derived from the world of mathematics. These include Pythagorean mathematics, geometry, simple algebra and fractions, the golden mean, the Fibonacci sequence, matrices, set theory, and many more. I have written the chapters as scripts for an online version of the class. The writing style in the chapters is therefore informal and contrasts with the tone of the other parts of the thesis.
The course is organized into three units. The first unit begins with the music of Ancient Greece and Early Christianity and concludes with music of the Renaissance (roughly 1300-1600). The second unit will cover what classical musicians call the “common practice period” (roughly 1600-1900). This span of time covers three musical eras – Baroque, Classical, and Romantic. The final unit will cover the 20th century up to the present. During this course, I introduce the students to Western music using examples, concepts, terminology, and methodology derived from the world of mathematics. These include Pythagorean mathematics, geometry, simple algebra and fractions, the golden mean, the Fibonacci sequence, matrices, set theory, and many more. I have written the chapters as scripts for an online version of the class. The writing style in the chapters is therefore informal and contrasts with the tone of the other parts of the thesis.
ContributorsCueva, Darren Luis (Author) / Norton, Kay (Thesis advisor) / Wells, Christopher (Committee member) / Schmidt, Margaret (Committee member) / Arizona State University (Publisher)
Created2019
Description
Historically, music and the experiences of deaf or hard-of-hearing (DHH) individuals have been intertwined in one manner or another. However, music has never ignited as much hope for the “improvement” of the Deaf experience as during the American oralist movement (ca. 1880-1960) which prioritized lip-reading and speaking over the use of sign language. While it is acknowledged that the oralist movement failed to provide the best possible education to many American DHH students and devastated many within the Deaf community, music scholars have continued to cite publications by oralist educators as rationales for the continued development of music programs for DHH students.
This document is an attempt to reframe the role of music during the American oralist movement with a historical account of ways music was recruited as a tool for teaching vocal articulation at schools for the deaf from 1900 to 1960. During this time period, music was recruited simply as a utility to overcome disability and as an aid for assimilating into the hearing world rather than as the rich experiential phenomenon it could have been for the DHH community. My goal is to add this important caveat to the received history of early institutional music education for DHH students. Primary sources include articles published between 1900 and 1956 in The Volta Review, a journal founded by the oralist leader Alexander Graham Bell (1847-1922).
This document is an attempt to reframe the role of music during the American oralist movement with a historical account of ways music was recruited as a tool for teaching vocal articulation at schools for the deaf from 1900 to 1960. During this time period, music was recruited simply as a utility to overcome disability and as an aid for assimilating into the hearing world rather than as the rich experiential phenomenon it could have been for the DHH community. My goal is to add this important caveat to the received history of early institutional music education for DHH students. Primary sources include articles published between 1900 and 1956 in The Volta Review, a journal founded by the oralist leader Alexander Graham Bell (1847-1922).
ContributorsLloyd, Abby Lynn (Author) / Norton, Kay (Thesis advisor) / Gardner, Joshua (Committee member) / Wells, Christopher (Committee member) / Arizona State University (Publisher)
Created2017
Description
Previous literature on synchronization to music using finger tapping tasks in a laboratory or otherwise controlled setting has led to some invaluable, albeit dated, theories about time and synchronization. In an effort to modernize some of the approaches utilized in research on music synchronization, this study applies established theories of music entrainment to a fieldwork study. Specifically, this study focuses on the extent to which participants of Capoeira, a Brazilian martial art disguised as a dance, synchronize to external timekeepers by analyzing icti in several types of movements and comparing them to musical rhythmic beats.
Sports psychology studies have shown that the presence of music can have involuntary effects on exercise. For example, walkers and runners will spontaneously synchronize gait to auditory signals. However, runners do not normally focus on choreology, acrobatics, and environmental stimuli while exercising. This study contributes to this field of research by adding observations and analyzing degrees of synchronization in a martial art, which may be more cognitively demanding than running.
In Capoeira, participants are still expected to attend to music. The degree of synchronization that occurs in a Capoeira class can then be compared with synchronization in martial arts that have music solely as a background component. These future studies would be analyzing music entrainment in real-life environments with physical activities that are more cognitively complex than running. Moreover, these future studies can help to confirm or challenge current theories of attention and music entrainment and synchronization.
Sports psychology studies have shown that the presence of music can have involuntary effects on exercise. For example, walkers and runners will spontaneously synchronize gait to auditory signals. However, runners do not normally focus on choreology, acrobatics, and environmental stimuli while exercising. This study contributes to this field of research by adding observations and analyzing degrees of synchronization in a martial art, which may be more cognitively demanding than running.
In Capoeira, participants are still expected to attend to music. The degree of synchronization that occurs in a Capoeira class can then be compared with synchronization in martial arts that have music solely as a background component. These future studies would be analyzing music entrainment in real-life environments with physical activities that are more cognitively complex than running. Moreover, these future studies can help to confirm or challenge current theories of attention and music entrainment and synchronization.
ContributorsRossi, Alex (Author) / Norton, Kay (Thesis advisor) / Knowles, Kristina (Thesis advisor) / Fossum, David (Committee member) / Arizona State University (Publisher)
Created2020