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- All Subjects: Music
- 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
History has long been stamped with the name of Carl Czerny in the domain of piano pedagogy, due to the substantial number of didactic piano exercises that Czerny produced. As a result, Czerny’s “canonic” pedagogical works have overshadowed other unrecognized piano études. At the turn of the nineteenth century, the cultivated form of concert études entered the output of almost every pianist-composer, and yet traditionally, attention in piano pedagogy has centered on études by Czerny, Burgmüller, Liszt, Schumann and Chopin. More recent research pays tribute to études by other composers, such as Clementi, Cramer, Hummel and Moscheles. The current lack of documentation and analysis of piano études written by female pianists is undeservedly a great loss to pedagogy and keyboard literature. Not only do these études give modern musicians a glimpse into the pianism and professionalism of the earliest accomplished women pianists, but the varieties in their études also form a comprehensive training method that ranges from the intermediate level to the advanced level. The virtuosity and brilliance of the advanced études deserve to be considered in league with other long-standing piano études that have already been glorified and performed throughout history. The purpose of this pedagogical study is to shed light on these hidden treasures of études which are invaluable pedagogical resources. To concisely demonstrate the varieties of pianistic techniques, this analysis will focus solely on two collections of études: Eight Übungsstücke (1823) by Fanny Mendelssohn Hensel (1805 – 1847), and Six Concert de Études Op. 11 (1881) by Agathe Backer Grøndahl (1847 – 1907).
ContributorsChan, Ka Hou (Author) / Meir, Baruch (Thesis advisor) / Creviston, Hannah (Thesis advisor) / Norton, Kay (Committee member) / Arizona State University (Publisher)
Created2023
Description
This paper is based on research conducted during my ongoing collaboration as a participant-observer with the Cuyamungue Institute (CI) of New Mexico, a self-identified nonreligious organization that uses postures to help participants achieve ecstatic trance experiences via a ritual process that prominently features sonic support of trance by the sound of a rattle or drum. While the purpose of the practice—which the Institute has referred to in such terms as “Ecstatic Trance Postures (ETP)” and “Ritual Body Postures”—is ostensibly spiritual in nature, apparent benefits for physical and emotional health have been reported by participants and observed in empirical studies carried out in collaboration with the CI. With appropriate nuance, the Institute traditionally emphasizes the ways these benefits demonstrate the process’s spiritual efficacy more than how they are outcomes desirable on their own merit. As I have continued to work with the CI, the discourse has gradually shifted. At present, the leadership of the Institute give more consideration than before to emotional health benefits as specific goals of the practice, yet spiritual conceptions maintain a dominant presence in conversations and achieving a deep connection with the “alternate reality / spirit realm / unbounded universe” remains the primary objective.
ContributorsMalnory, Lawson (Author) / Fossum, Dave (Thesis advisor) / Norton, Kay (Committee member) / Solís, Ted (Committee member) / Arizona State University (Publisher)
Created2022
Description
Among the most popular music genres are pop, rock, country, R&B, jazz, and blues. In the context of hit TV shows such as Glee, The Voice, and The Masked Singer, as well as the musical theater and pop industries booming, the American education system should be helping to prepare students for success in the current music industry. America’s higher education systems have not followed the industry’s trends as much as they could. Music schools with classical voice programs significantly outnumber musical theatre programs in the United States, and pop/contemporary commercial music programs are rare. The small number of contemporary commercial music programs (CCM) likely has to do with the lack of training that the faculties have had in these genres - they aren't qualified to teach them.This paper specifically targets an audience of classically-trained singers and voice teachers. It will act as a guide on how to use classical training and classical vocal pedagogy to sing and teach Contemporary Commercial Music, CCM. There are ten chapters to this paper, discussing classical vocal pedagogy/vocal health and how those topics translate to CCM singing, proven and effective warmups for the CCM singer, and specific stylistic requirements with repertoire suggestions for all voice types and age groups in the styles of musical theatre, pop, jazz, contemporary Christian/gospel, and country.
The information in this paper is vital for the development of singers in today’s industry. There are many famous pop singers with vocal injuries and, without proper vocal training, current singers are unable to find their authentic, healthy voices. Instead, many untrained pop singers modify their sound to imitate those they hear on the radio, which can lead to unhealthy vocal production. It is imperative that the systems training singers to sing classical, opera, and musical theatre include all CCM vocal teaching in their techniques. With this document, those who have been trained within the environment of classical music can use the same vocal health techniques and modify their approach to successfully teach and sing contemporary commercial music.
ContributorsWasbotten, Leia (Author) / FitzPatrick, Carole (Thesis advisor) / DeMaris, Amanda (Committee member) / Norton, Kay (Committee member) / Arizona State University (Publisher)
Created2022
Description
The purpose of this study was to: (1) record and describe a brief history of the life and career of Bolivian composer Dr. Nicolás Suárez Eyzaguirre, and (2) write an analysis from a vocal performer's perspective of Suárez's song cycle for soprano and piano, Monólogos del Desierto, with texts by Dr. Guillermo Mariaca Iturri.
In August of 2013, I traveled to La Paz, Cochabamba, and Coroico, Bolivia, with translator Dr. Marie Cooper Hoffman for thirteen days in order to conduct interviews with Suárez, his family, his colleagues, his composition professors, and other professional musicians. In addition to both in-person and e-mail interviews, I reviewed television productions, videos, and newspaper/magazine articles that featured interviews with Suárez and/or reviews of his works. Also, I familiarized myself with Suárez's compositional style by performing a leading role in the 2011 world premiere of his opera El Compadre; collecting and listening to as many recordings of his works as I could find; and reading the transcript of Suárez's Doctor of Musical Arts Lecture Recital. For this study, I focused specifically on the compositional style of his three-song cycle Monólogos del Desierto. A performance of the work will be part of my defense of this paper.
In August of 2013, I traveled to La Paz, Cochabamba, and Coroico, Bolivia, with translator Dr. Marie Cooper Hoffman for thirteen days in order to conduct interviews with Suárez, his family, his colleagues, his composition professors, and other professional musicians. In addition to both in-person and e-mail interviews, I reviewed television productions, videos, and newspaper/magazine articles that featured interviews with Suárez and/or reviews of his works. Also, I familiarized myself with Suárez's compositional style by performing a leading role in the 2011 world premiere of his opera El Compadre; collecting and listening to as many recordings of his works as I could find; and reading the transcript of Suárez's Doctor of Musical Arts Lecture Recital. For this study, I focused specifically on the compositional style of his three-song cycle Monólogos del Desierto. A performance of the work will be part of my defense of this paper.
ContributorsStanford, Allison (Author) / FitzPatrick, Carole (Thesis advisor) / Dreyfoos, Dale (Committee member) / Norton, Kay (Committee member) / Ryan, Russell (Committee member) / Arizona State University (Publisher)
Created2015
Description
Beginning around the 1820s, the refinement of the piano mechanism increased the expressiveness of the instrument’s sonority and further attracted the composers’ attention and curiosity about the instrument. Concentration on piano music became a trend for composers between the mid to late nineteenth century. During this period, the massive output of music for piano and extremely developed keyboard techniques resulted in classical composers searching for fresh ideas. Starting in the twentieth century, composers became increasingly interested in music outside the classical world and new interpretations of meter, harmony, and form. As early as the 1910s, composers included tone clusters generated at keyboard and soon afterwards, began “playing” the internal components of the piano including strings. Concurrently, they blended different styles within a piece according to their cultural and educational background. A prime example of this compositional trend is the classically-trained Turkish pianist-composer Fazil Say (b. 1970). His ability as a pianist reflects his strong classical training as well as a stylistic freedom partly derived from jazz. Say’s inspiration is also drawn from his Turkish heritage, as traditional folk elements have helped to shape his compositions. Representing Say’s education, passion, and ethnic background, the three elements of classical, jazz, and folk music have become his primary devices within his solo piano compositions.
This brief investigation of Say’s life to date and his piano works offers an insight into the correlation between the multi-cultural environments in which he has lived and the formation of his styles. Chapter one, the summary of his life and educational background, illustrates the fact that the three facets within his piano compositions are strongly rooted in his exposure to different environments. The second chapter presents a clear overview of the development of Say’s compositional idiom and a deeper look at selected piano compositions: his transcription of J. S. Bach’s Passacaglia in C Minor, BWV 582, Three Ballads, Black Earth, Alla Turca Jazz, and Paganini Jazz. The goal is to provide current and future pianists with insight into the expressive performance of one composer’s extremely successful hybridization of classical, jazz, and Turkish folk music.
This brief investigation of Say’s life to date and his piano works offers an insight into the correlation between the multi-cultural environments in which he has lived and the formation of his styles. Chapter one, the summary of his life and educational background, illustrates the fact that the three facets within his piano compositions are strongly rooted in his exposure to different environments. The second chapter presents a clear overview of the development of Say’s compositional idiom and a deeper look at selected piano compositions: his transcription of J. S. Bach’s Passacaglia in C Minor, BWV 582, Three Ballads, Black Earth, Alla Turca Jazz, and Paganini Jazz. The goal is to provide current and future pianists with insight into the expressive performance of one composer’s extremely successful hybridization of classical, jazz, and Turkish folk music.
ContributorsChen, Yen-Wei (Author) / Meir, Baruch (Thesis advisor) / Norton, Kay (Committee member) / Hamilton, Robert (Committee member) / Arizona State University (Publisher)
Created2019
Description
This research project will focus on two poems by the Korean poet So-wol Kim (1902-1934). His poems are admired throughout Korea and are often set by Korean art song composers. This paper will examine four art song settings by composers Sung-tae Kim (1910-2012) and Soon-nam Kim (1917-1986) of two poems by So-wol Kim: “Azalea” and “Wildflowers of the Mountains.” The discussion will examine in detail the varied interpretations and expressions of the texts by each composer. To be clear, the translations of the poems investigated in this paper are poetic renderings and are not meant for performance purposes.
ContributorsSeo, Juhee (Author) / Mills, Robert (Thesis advisor) / Norton, Kay (Committee member) / Rockmaker, Jody (Committee member) / Arizona State University (Publisher)
Created2020
Description
This project serves as a performance guide for Chen Yi’s work From Old Peking Folklore for violin and piano. The primary source material for the document is derived from six hours of interviews and musical coaching that the writer undertook in March 2020 with Chen Yi at her residence in Missouri. The work is heavily influenced by Chinese Opera, and a brief examination of the history of Chinese Opera is included to provide context to the performer. Elements of performance practice on traditional Chinese instruments and their influence on the work are also explored, with detailed explanations given for the realization of numerous indications in the score from the composer. Finally, a link to a lecture recital and performance of the work is provided by the writer.
ContributorsDu, Pan (Author) / McLin, Katherine E (Thesis advisor) / Norton, Kay (Committee member) / Ryan, Russell (Committee member) / Arizona State University (Publisher)
Created2020
Description
The work of collaborative pianists can vary widely, requiring a large spectrum of musical and foreign language skills. In addition, many non-musical skills are required of collaborative pianists in order to adapt to various types of work, the roles they assume, and the needs of the people they encounter professionally. Collaborative pianists usually develop good habits for survival on the job, but rarely receive preliminary training in capacities such as facilitation, maintaining objectivity in collaboration, asking good questions, and giving feedback effectively. The emerging field of teaching artistry offers a wealth of information for the development of these non-musical skills in collaborative pianists. The skills necessary for teaching artistry and collaborative piano frequently overlap, which is instructive for collaborative pianists as they prepare for their various musical and leadership roles. This paper explores shared practices between these disciplines, how they can enhance the activities of a collaborative pianist, and also help them develop skills as arts advocates. Advocating techniques for new music and audience engagement are addressed, as well as programming, content development and building teams around projects. The idea of the collaborative pianist becoming a teaching artist is also explored, as the diverse activities and experiences of a collaborative pianist can serve as valuable resources. All of these approaches to non-musical skills focus on building strong processes, leading to creative activities that are process-driven rather than product-driven. This study seeks to enrich activities of collaborative pianists through the application of teaching artist capacities and pave pathways for new, more effective professional collaborations.
ContributorsWitt, Juliana (Author) / Campbell, Andrew (Thesis advisor) / Norton, Kay (Committee member) / Ryan, Russell (Committee member) / Swoboda, Deanna (Committee member) / Arizona State University (Publisher)
Created2020
Description
In this study, I sought to learn how members of college women’s choirs feel about
their choir and women’s choirs in general. Singers from 19 institutions in the American
Choral Directors Association Southern division participated. From the potential survey
population (n=986), 302 respondents participated (response rate = 28%).
These research questions guided this study:
1. How do current members of college women’s choirs feel their choir is
perceived compared to other types of choirs at their college or university and
in their community?
2. How do current members of college women’s choirs feel about singing in this
group? About women’s choirs in general?
A researcher-developed survey instrument was used to gather demographic
information and other data related to the research questions. After a pilot study, the
survey was edited for clarity. The director of choral activities and the director of the
women’s choir at each institution was contacted via email. The schools that agreed to
participate received the link to the survey and an email script to send to students. Two
weeks later, a follow-up email was sent with the same materials. Two weeks after that,
the survey window closed. The data were collected and analyzed for frequency and
percentage. While analysis of variance (ANOVA) tests found no significant differences,
the analysis of some of the independent variables, especially those having to do with the
age and experience of the singers, were highly suggestive.
In this study, women’s choir members responded positively to statements about
the value of their choir within their institutions and communities. While respondents
often indicate that women’s choirs are seen as inferior to mixed choirs, they nevertheless
enjoy the repertoire they sing and like being challenged. Respondents answered
affirmatively in Likert-scale questions about their women’s choirs and women’s choirs in
general, but answered more critically in open-ended response questions about the same
topics. The survey results echo the findings of earlier studies, amplified by the choir
members’ own opinions. The data in this study offer clear means to ensure that all
students in all choirs are proud of their work and feel equally valued.
their choir and women’s choirs in general. Singers from 19 institutions in the American
Choral Directors Association Southern division participated. From the potential survey
population (n=986), 302 respondents participated (response rate = 28%).
These research questions guided this study:
1. How do current members of college women’s choirs feel their choir is
perceived compared to other types of choirs at their college or university and
in their community?
2. How do current members of college women’s choirs feel about singing in this
group? About women’s choirs in general?
A researcher-developed survey instrument was used to gather demographic
information and other data related to the research questions. After a pilot study, the
survey was edited for clarity. The director of choral activities and the director of the
women’s choir at each institution was contacted via email. The schools that agreed to
participate received the link to the survey and an email script to send to students. Two
weeks later, a follow-up email was sent with the same materials. Two weeks after that,
the survey window closed. The data were collected and analyzed for frequency and
percentage. While analysis of variance (ANOVA) tests found no significant differences,
the analysis of some of the independent variables, especially those having to do with the
age and experience of the singers, were highly suggestive.
In this study, women’s choir members responded positively to statements about
the value of their choir within their institutions and communities. While respondents
often indicate that women’s choirs are seen as inferior to mixed choirs, they nevertheless
enjoy the repertoire they sing and like being challenged. Respondents answered
affirmatively in Likert-scale questions about their women’s choirs and women’s choirs in
general, but answered more critically in open-ended response questions about the same
topics. The survey results echo the findings of earlier studies, amplified by the choir
members’ own opinions. The data in this study offer clear means to ensure that all
students in all choirs are proud of their work and feel equally valued.
ContributorsConway, Ashley Elizabeth (Author) / Schildkret, David (Thesis advisor) / Anderson, Lisa (Committee member) / Norton, Kay (Committee member) / Stauffer, Sandra (Committee member) / Arizona State University (Publisher)
Created2020