Arts and Humanities Commons^™

Deconstructing Chaos: The Role Of Pitch Hierarchy In Music Perception, Gabrielle Stetz

Student Scholar Symposium Abstracts and Posters

During the early twentieth century, art music composers pushed Western tonality to the limits and eventually abandoned tonality altogether, creating a system that treated every pitch equally. This atonal system broke down all keys and harmonic progressions that are cornerstones of Western musical pitch hierarchy. Through an extensive review of current literature, this research aims to show that the concept of hierarchy, present in tonal but not atonal music, is central to music perception. This presentation will explore the role hierarchy in music perception through several means: examining the physical nature of sound on a mathematical basis, determining innate structures …

Problem-Solving Pedagogy: A Foundation For Restructuring, Updating, And Improving Undergraduate Theory And Musicianship Curricula, Michael T. Simonelli

Masters Theses

The goal of this thesis is to provide the ideological and practical foundation for an improved approach to undergraduate theory and musicianship pedagogy. I will discuss the structure of conventional theory programs and explore problems inherent to traditional curriculum design. Problem-solving pedagogy, an approach rooted in creative composition and improvisation, will be presented as a complement to traditional theory pedagogy. Balancing problem-solving pedagogy with a more traditional pedagogical approach will provide a practical foundation for improving undergraduate theory and musicianship curricula.

Syntagma Musicum Ii: De Organographia, Parts Iii – V With Index, Michael Praetorius, Quentin Faulkner Trans. & Ed.

Zea E-Books Collection

Michael Praetorius (1571–1621) achieved distinction as a practicing musician: as organist and Kapellmeister at Wolfenbüttel, Dresden and Magdeburg, and (in his later years) by incessant travel to fulfill commissions at various central German courts. Amid his travels Praetorius found time to publish an impressive series of collections of musical compositions, in all more than a thousand works. Praetorius’s three-volume Syntagma musicum (Musical Encyclopedia) belongs to the last years of his life. Volume I, Musicae artis analecta (1614/15, in Latin), treats principles and practices of religious music, from a decidedly Lutheran perspective. Volume II, De organographia (1619, in German) deals with …

Augmentation Of Delusion, Christopher Lynn Adams

Masters Theses

Augmentation of Delusion is a single-movement piece for chamber orchestra composed by Chris L. Adams. The piece was originally written for a four-person percussion ensemble in 2013 and orchestrated in 2014. This document will analyze the major musical elements of form, harmony, melody, rhythm and meter, and genre of the piece, as well as compare and contrast these variables with other composers’ works.

Music theory terminology and figures will be applied in this document as follows:

1. Set theory functions will be expressed as:
a. Normal order indicated by brackets – [2367]
b. Prime form indicated by parentheses – (0145) …

A Three-Part Study In The Connections Between Music And Mathematics, Molly Elizabeth Anderson

Undergraduate Honors Thesis Collection

The idea for this thesis originated from my fascination with the studies of both music and mathematics throughout my entire life. As a triple major in Middle/Secondary Math Education, Mathematics, and Music, I have learned more than I thought possible of music and math. In proposing this thesis, I desired to use my knowledge of arithmetic and aesthetics to research how music and mathematics are intertwined. I am confident that the following three chapters have allowed me to develop as an academic in both music and mathematics. This thesis serves as a presentation of the connections of music and math …

Tunes, Textures, And Trends: The Transformation Of Johann Walther’S Geistliches Gesangbüchlein (1524, 1525, 1537, 1544, 1551), Emily Marie Solomon

Masters Theses

This thesis examines the contents of Geistliches Gesangbüchlein, a sixteenth-­‐‑ century German Lutheran hymnal by Johann Walther, published in five editions between 1524 and 1551, the contents of which were substantially augmented, particularly between the 1525 and 1537 editions. Specifically, this project focuses on the twelve hymns with multiple settings, one or more of which were published in the first two editions and replaced by one or more settings in the last three editions, while assessing the characteristics across the original and removed settings and noting discernable trends of revision employed by Walther. Observable revision trends include length increase …

Musical Rebirth In Fearless And The Truman Show, Erik Heine

Journal of Religion & Film

Films have long made use of pre-existing music, most notably by well-known composers such as Bach, Mozart, Beethoven. Director Peter Weir makes use of pre-existing music in nearly all of his films. In his two films from the 1990s, Fearless and The Truman Show, Weir uses music from two living (at the time) and largely unfamiliar Polish composers, Henryk Górecki and Wojciech Kilar, to accompany the climax of each film, coinciding with the rebirth of the central characters. The films show a parallel narrative, each with minor instances of renewals, until the respective characters are reborn, accompanied by music …

An Introduction To Fourier Analysis With Applications To Music, Nathan Lenssen, Deanna Needell

Journal of Humanistic Mathematics

In our modern world, we are often faced with problems in which a traditionally analog signal is discretized to enable computer analysis. A fundamental tool used by mathematicians, engineers, and scientists in this context is the discrete Fourier transform (DFT), which allows us to analyze individual frequency components of digital signals. In this paper we develop the discrete Fourier transform from basic calculus, providing the reader with the setup to understand how the DFT can be used to analyze a musical signal for chord structure. By investigating the DFT alongside an application in music processing, we gain an appreciation for …

Formal Properties As The Basis For Value In Music, Thomas B. Yee

Global Tides

This paper defends the thesis that value in a piece of music is based in its formal properties rather than its non-formal properties. Two arguments are presented to support this conclusion. The first argument shows that if value in music is to be objective, then it must be grounded in a piece's formal properties rather than its non-formal properties. In the second argument, a number of alternate possibilities for grounding value in music are considered and shown to miss the mark or be inadequate. Finally, a number of possible objections against the arguments and conclusion are considered and possible responses …