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D. A. Kolb’s Theory of Experiential Learning: Implications for the Development of Music Theory Instructional Material (open access)

D. A. Kolb’s Theory of Experiential Learning: Implications for the Development of Music Theory Instructional Material

This research project evaluates the effectiveness of specific music theory instructional strategies in terms of D. A. Kolb’s theory of experiential learning and Kolb’s typology of individual learning style. The project provides an original methodology for the adaptation of music theory instructional material to the individual learning style types described in Kolb’s typology. The study compares the relative effectiveness of two music theory instructional sequences, one of which is adapted for all of the learning style modalities described in Kolb’s typology, and the other adapted for only a limited number of Kolb’s learning style types. In order to compare the potential “learning outcomes” produced by these instructional sequences, a detailed study is proposed, in which computer based instruction (CBI) will deliver the instructional sequences to research participants and electronically record the participants’ responses. The current study demonstrates the effective aspects of the original methodology and suggests methods for the successful adaptation of music theory instructional material to individual student learning styles.
Date: August 2001
Creator: Lively, Michael
System: The UNT Digital Library
Accent and Grouping Structures in the String Quartets of Béla Bartók (open access)

Accent and Grouping Structures in the String Quartets of Béla Bartók

The music of Béla Bartók is defined in part by its unique blend of rhythmic vitality and inventiveness, and his string quartets offer a glimpse into a consistency of technique evident throughout his compositional career. Bartók's rhythmic environments are primarily metrical, but many of his rhythmic configurations are placed in such a way as to potentially override established meter. It is necessary, therefore, to institute an analytical means by which the delineation and comparison of rhythmic structures both within and without the metrical context may be accomplished. An analytical method using Timepoint Accent Structures (TAS) allows for the comparison of rhythms resulting from patterns of accent produced by pitch onset, dynamic stress, articulation or any other accentual factors. Timepoint Grouping Structures (TGS) delineate the number of timepoints present in alternating groups/blocks in a texture, thereby allowing for the recognition of patterning created by these larger groups. By applying TAS and TGS analysis, relationships of rhythmic equivalency, rotation, retrograde, complementation, augmentation, diminution, subset, superset, exchange, compression and expansion are clearly confirmed in the string quartets. In addition, symmetrical structures and arithmetic progressions are discovered. In many ways, Bartók's rhythmic organization mimics his procedures of pitch structuring.
Date: May 2001
Creator: Bocanegra, Cheryl D.
System: The UNT Digital Library
The Aesthetics of Minimalist Music and a Schenkerian-Oriented Analysis of the First Movement "Opening" of Philip Glass' Glassworks (open access)

The Aesthetics of Minimalist Music and a Schenkerian-Oriented Analysis of the First Movement "Opening" of Philip Glass' Glassworks

Philip Glass' Glassworks (1981) is a six-movement composition for two flutes, two soprano saxophones/clarinets, two tenor saxophones/bass clarinets, two French horns, violas, cellos, and the DX7 electric piano. Glassworks consists of six movements titled "Opening," "Floe," "Island," "Rubric," "Facades," and "Closing." This thesis covers the first movement "Opening." Repetition in musical minimalism confronts traditional prescriptive codes of tonal music and post-tonal music. While challenging the traditional codes, repetition in musical minimalism established new codes for listening to minimal music. This thesis explores the implications of these ideas.
Date: May 2009
Creator: Wu, Chia-Ying (Charles)
System: The UNT Digital Library
Alberto Ginastera and the Guitar Chord: An Analytical Study (open access)

Alberto Ginastera and the Guitar Chord: An Analytical Study

The guitar chord (a sonority based on the open strings of the guitar) is one of Alberto Ginastera's compositional trademarks. The use of the guitar chord expands throughout forty years, creating a common link between different compositional stages and techniques. Chapters I and II provide the historical and technical background on Ginastera's life, oeuvre and scholar research. Chapter IV explores the origins of the guitar chord and compares it to similar specific sonorities used by different composers to express extra-musical ideas. Chapter V discusses Ginastera's initial uses and modifications of the guitar chord. Chapter VI explores the use of the guitar chord as a referential sonority based on Variaciones Concertantes, Op. 23: I-II, examining vertical (subsets) and horizontal (derivation of motives) aspects. Chapter VII explores uses of trichords and hexachords derived from the guitar chord in the Sonata for Guitar Op. 47.
Date: December 2010
Creator: Gaviria, Carlos A.
System: The UNT Digital Library
Algorithmic Music Analysis: a Case Study of a Prelude From David Cope’s “From Darkness, Light” (open access)

Algorithmic Music Analysis: a Case Study of a Prelude From David Cope’s “From Darkness, Light”

The use of algorithms in compositional practice has been in use for centuries. With the advent of computers, formalized procedures have become an important part of computer music. David Cope is an American composer that has pioneered systems that make use of artificial intelligence programming techniques. In this dissertation one of David Cope’s compositions that was generated with one of his processes is examined in detail. A general timeline of algorithmic compositional practice is outlined from a historical perspective, and realized in the Common Lisp programming language as a musicological tool. David Cope’s compositional output is summarized with an explanation of what types of systems he has utilized in the analyses of other composers’ music, and the composition of his own music. Twentieth century analyses techniques are formalized within Common Lisp as algorithmic analyses tools. The tools are then combined with techniques developed within other computational music analyses tools, and applied toward the analysis of Cope’s prelude. A traditional music theory analysis of the composition is provided, and outcomes of computational analyses augment the traditional analysis. The outcome of the computational analyses, or algorithmic analyses, is represented in statistical data, and corresponding probabilities. From the resulting data sets part of …
Date: May 2015
Creator: Krämer, Reiner
System: The UNT Digital Library
An Analysis of Periodic Rhythmic Structures in the Music of Steve Reich and György Ligeti (open access)

An Analysis of Periodic Rhythmic Structures in the Music of Steve Reich and György Ligeti

The compositions of Steve Reich and György Ligeti both contain periodic rhythmic structures. Although periods are not usually easily perceived, the listener may perceive their combinations in a hierarchy of rhythmic structures. This document is an attempt to develop an analytical method that can account for this hierarchy in periodic music. I begin with an overview of the features of Reich's and Ligeti's music that contribute to the property of periodicity. I follow with a discussion of the music and writings of Olivier Messiaen as a precedent for the periodic structures in the music of Reich and Ligeti. I continue by consulting the writings of the Israeli musicologist Simha Arom and describing the usefulness of his ideas and terminology in the development of my method. I explain the working process and terminology of the analytical method, and then I apply it to Reich's Six Pianos and Ligeti's Désordre.
Date: August 2002
Creator: Isgitt, David
System: The UNT Digital Library
An Analysis of Robert Nathaniel Dett's In the Bottoms (open access)

An Analysis of Robert Nathaniel Dett's In the Bottoms

The purpose of the thesis is to analyze formally, harmonically and melodically the five movements of the suite both as separate movements and inclusively as one cohesive unit. The thesis will be written in three parts: Part One will include a biographical sketch of the composer, a general discussion of his music, background information on the suite and Dett's antecedents and contemporaries influencing him. Part Two will discuss the following: A) Form, B) Harmonic Analysis, and C) Melodic Analysis and the influences of black folk idioms. Part Three will include the keyboard music of Dett's contemporaries as compared to his suite in terms of their contrasts and similarities.
Date: December 1983
Creator: Miles, Debra A. (Debra Ann)
System: The UNT Digital Library

An Analysis of the Composition Process of Bartók's Eight Improvisations on Hungarian Peasant Songs, Op. 20

Access: Use of this item is restricted to the UNT Community
This is a study of Bartók's compositional process as it relates to the Improvisations, Op. 20. The study, which focuses on the analysis of the draft manuscript 50PS1, compares the draft and other relevant sources with the final composition. Bartók's framework for the entire Improvisations is based on a compositional strategy of pairing individual improvisations combined with systematic revision of the draft copy by the introduction of tritones as tonal equivalents and movement by fifths from semitones, to achieve structural coherence in the individual improvisations. The tonic-dominant relationship is used to rearrange the individual improvisations in the draft and tritones as tonal equivalents are used to propel the movement between the improvisations to produce a coherent whole.
Date: May 2000
Creator: Kochbeck, Olivia M.
System: The UNT Digital Library
An Analytical Study of Paradox and Structural Dualism in the Music of Ludwig van Beethoven (open access)

An Analytical Study of Paradox and Structural Dualism in the Music of Ludwig van Beethoven

Beethoven's rich compositional language evokes unique problems that have fueled scholarly dialogue for many years. My analyses focus on two types of paradoxes as central compositional problems in some of Beethoven's symphonic pieces and piano sonatas. My readings of Beethoven's Piano Sonata No. 27 (Op. 90), Symphony No. 4 (Op. 60), and Symphony No. 8 (Op. 93) explore the nature and significance of paradoxical unresolved six-four chords and their impact on tonal structure. I consider formal-tonal paradoxes in Beethoven's Tempest Sonata (Op. 31, No. 2), Ninth Symphony (Op. 125), and Overture die Weihe des Hauses (Op. 124). Movements that evoke formal-tonal paradoxes retain the structural framework of a paradigmatic interrupted structure, but contain unique voice-leading features that superimpose an undivided structure on top of the "residual" interrupted structure. Carl Schachter's observations about "genuine double meaning" and his arguments about the interplay between design and tonal structure in "Either/Or" establish the foundation for my analytical approach to paradox. Timothy Jackson's reading of Brahms' "Immer leiser word meine Schlummer" (Op. 105, No. 2) and Stephen Slottow's "Von einem Kunstler: Shapes in the Clouds" both clarify the methodology employed here. My interpretation of paradox involves more than just a slight contradiction between two …
Date: May 2016
Creator: Graf, Benjamin
System: The UNT Digital Library
Antoine Reicha's Theories of Musical Form (open access)

Antoine Reicha's Theories of Musical Form

Antoine Reicha stands as an important figure in the growing systematization of musical form. While Traite de melodie (1814) captures the essence of eighteenth-century concern with tonal movement and periodicity, Reicha's later ideas as represented in Traite de haute composition musicale (1824-26) anticipate descriptions of thematic organization characteristic of his nineteenth-century successors. Three important topics emerge as crucial elements: melody, thematic development, and schematic categorization of complete pieces.
Date: December 1989
Creator: McCachren, Jo Renee
System: The UNT Digital Library
An Application of Grundgestalt Theory in the Late Chromatic Music of Chopin: a Study of his Last Three Polonaises (open access)

An Application of Grundgestalt Theory in the Late Chromatic Music of Chopin: a Study of his Last Three Polonaises

The late chromatic music of Chopin is often difficult to analyze, particularly with a system of Roman numerals. The study examines Schoenberg's Grundgestalt concept as a strategy for explaining Chopin's chromatic musical style. Two short Chopin works, Nocturne in E-flat major. Op. 9, No. 2, and Etude in E major, Op. 10, No. 3, serve as models in which the analytic method is formulated. Root analysis, in the manner of eighteenth-century theorist Simon Sechter, is utilized to facilitate harmonic analysis of chromatic passages. Based upon the analytic method developed, the study analyzes the last three polonaises of Chopin: Polonaise in F-sharp minor, Op. 44, Polonaise in A-flat major, Op. 53, and Polonaise-Fantasie in A-flat major, Op. 61. The Grundgestalt-based analysis shows harmonic, melodic and rhythmic connections in order to view Chopin's chromaticism and formal structure from a new perspective. With this approach, the chromaticism is viewed as essential to the larger form.
Date: December 1994
Creator: Spicer, Mark Joseph
System: The UNT Digital Library
Arvo Pärt and Three Types of His Tintinnabuli Technique (open access)

Arvo Pärt and Three Types of His Tintinnabuli Technique

Arvo Pärt, an Estonian composer, was born in 1935. Most of the works at the beginning of his career were for piano in the neo-classical style. After that, he turned his interest to serial music and continued creating works with serial techniques throughout the 1960s. After his "self-imposed silence" period (during the years 1968-1976), Pärt emerged with a new musical style, which he called tintinnabuli. Although, this technique was influenced by music from the medieval period, the texture and function of its musical style cannot be described easily in terms of any single musical technique of the past. This study explores the evolution of Arvo Pärt's tintinnabuli technique in its first decade 1976-1985, which is divided into three different types. It provides musical examples from the scores of selected works, Für Alina, Cantus in Memory of Benjamin Britten, Cantate Domino canticum novum, Missa Sillabica, Stabat Mater and Es sang vor langen Jahren, and their analyses with supporting interpretative sketches. The goal of this thesis is to provide the reader a basis for understanding and recognizing the different types of Pärt's tintinnabuli technique.
Date: May 2013
Creator: Kongwattananon, Oranit
System: The UNT Digital Library
The Aural Perception of Pitch-Class Set Relations: A Computer-Assisted Investigation (open access)

The Aural Perception of Pitch-Class Set Relations: A Computer-Assisted Investigation

Allen Forte's theory of pitch-class set structure has provided useful tools for discovering structural relationships in atonal music. As valuable as set—theoretic procedures are for composers and analysts, the extent to which set relationships are perceptible by the listener largely remains to be investigated. This study addresses the need for aural-perceptual considerations in analysis, reviews related research in music perception, and poses questions concerning the aural perceptibility of set relationships. Specifically, it describes and presents the results of a computer-assisted experiment in testing the perceptibility of set-equivalency relationships.
Date: May 1984
Creator: Millar, Jana Kubitza
System: The UNT Digital Library
A.B. Marx's Concept of Rondo and Sonata: A Critical Evaluation of His Explanations of Musical Form (open access)

A.B. Marx's Concept of Rondo and Sonata: A Critical Evaluation of His Explanations of Musical Form

The third volume of A.B. Marx's theory treatise Die Lehre von der musikalischen Komposition is discussed. His definitions of rondo and sonata formal types are demonstrated in the first chapter in addition to the manner of their derivation through a developmental process originating in the Liedform. Musical examples chosen by Marx are examined in chapter two. These examples, taken from Mozart's and Beethoven's piano works, are evaluated in relation to Marx's definitions of the various types of form. The third chapter is concerned with the progression from microstructure to macrostructure and the functional interrelation of the parts to the whole. In addition, Marx's opinion on musical form is compared with perspectives of philosophers from his time period and the immediate past.
Date: July 1993
Creator: Lang, Adelheid K.
System: The UNT Digital Library
Bach's Mass in B minor: An Analytical Study of Parody Movements and their Function in the Large-Scale Architectural Design of the Mass (open access)

Bach's Mass in B minor: An Analytical Study of Parody Movements and their Function in the Large-Scale Architectural Design of the Mass

Most studies of the Mass in B Minor deal with the history of the work, its reception history, primary sources, performance practice issues, rhetoric, and even theological and numerical symbolism. However, little research focuses on an in-depth analysis of the music itself. Of the few analytical studies undertaken, to date only a limited number attempt to explain Bach's use of parody technique or unity in the whole composition. This thesis focuses on understanding three primary concerns in regards to the Mass in B minor: to comprehend how preexistent material was adapted to the context of the Mass, how this material functions in the network of the entire composition, and how unity is achieved by means of large-scale voice leading. The results of this study not only provide new information about this monument of Western music, but also provide insight to the deep sense of large-scale structure in Bach's work.
Date: December 2005
Creator: Pérez Torres, René
System: The UNT Digital Library
Beethoven's Opus 18 String Quartets: Selected First Movements in Consideration of the Formal Theories of Heinrich Koch as Expressed in Versuch Einer Anleitung Zur Composition (open access)

Beethoven's Opus 18 String Quartets: Selected First Movements in Consideration of the Formal Theories of Heinrich Koch as Expressed in Versuch Einer Anleitung Zur Composition

Heinrich Koch completed his treatise in 1793, a pioneering work regarding the musical phrase as well as a sonata form description (lacking that term). Composition of Opus 18 began in 1798, a momentous project for several reasons in Beethoven's early career. Here, the theories expressed in Koch's Versuch are taken as an analytic springboard into a thorough analysis of the first movement of the quartet published no. 3, which was the first composed; additionally, nos. 1 and 6 are explored to a lesser degree. This study in phrase-analysis demonstrates significance in the fundamental ideas of Koch as applied to a masterwork of the turn of the 19th century.
Date: December 2006
Creator: Tompkins, Robert
System: The UNT Digital Library
Beethoven's Transcendence of the Additive Tendency in Opus 34, Opus 35, Werk ohne Opuszahl 80, and Opus 120 (open access)

Beethoven's Transcendence of the Additive Tendency in Opus 34, Opus 35, Werk ohne Opuszahl 80, and Opus 120

The internal unity of the themes in a sonata-allegro movement and the external unity of the movements in a sonata cycle are crucial elements of Beethoven's compositional aesthetic. Numerous theorists have explored these aspects in Beethoven's sonatas, symphonies, quartets, and concertos. Similar research into the independent variation sets for piano, excluding Opus 120, has been largely neglected as the result of three misconceptions: that the variation sets, many of which were based on popular melodies of Beethoven's time, are not as worthy of study as his other works; that the type of hidden internal relationships which pervade the sonata cycle are not relevant to the variation set since all variations are, by definition, related to the theme; and that variations were composed "additively," that is, one after another, without any particular regard for their order or relationship to one another. The purpose of this study is to refute all three of these incorrect assumptions. Beethoven was concerned with the order of variations and their relationship to one another, and he was able to transcend the additive tendency in a number of ways. Some of his methods included registral connection, registral expansion, rhythmic acceleration, textural expansion, dynamics, articulation, and motivic similarities. …
Date: December 1989
Creator: Kramer, Ernest J. (Ernest Joachim)
System: The UNT Digital Library
Composing-Out Notre-Dame: How Louise Bertin Expresses the Hugolian Themes of Fate and Decay in La Esmeralda (open access)

Composing-Out Notre-Dame: How Louise Bertin Expresses the Hugolian Themes of Fate and Decay in La Esmeralda

From 1831 to 1836, Victor Hugo and Louise Bertin collaborated on an opera titled La Esmeralda. For Hugo, it would be the only opera libretto he would ever write, a mere footnote to his collection of widely admired novels, plays, and poetry; for Bertin, however, it would become her most important work, yet seemingly destined to fade into obscurity like so many great pieces of art. Using Schenkerian analysis, this thesis uncovers the tonal and voice-leading structure of the first act of La Esmeralda. A study of this nature, which operates from the premise that forms as large and complex as opera can be examined in terms of a large-scale structure, is valuable because it sheds new light on the correlation of tonal structure and dramatic organization. Through these methods, Act I of La Esmeralda is read as a background progression from D major (with F# kopfton) to F major, composing-out an F#/F♮ dichotomy introduced in the overture. With reference to several musical-symbolic ideas - including the representation of virtue through the pitch F#, the key of Notre-dame's bells - it is shown how the musical structure of Act I expresses the Hugolian themes of fate and decay.
Date: August 2018
Creator: Walls, Levi
System: The UNT Digital Library
Consonance, Tertian Structures and Tonal Coherence in Wladimir Vogel's Dodecaphonic World (open access)

Consonance, Tertian Structures and Tonal Coherence in Wladimir Vogel's Dodecaphonic World

Wladimir Vogel's (1896-1984) interest in twelve-tone composition began to develop in 1936 after hearing a series of lectures by Willi Reich, a music critic and supporter of the new music of the Second Viennese School. The transition for Vogel from a large-scale orchestral “classical” style, influenced by his study with Ferruccio Busoni in Berlin in the early 1920s, to a new technique involving dodecaphony is apparent in his instrumental writing, the third and fourth movements of the Konzert für Violine und Orchester (1937), as well as in his vocal writing, the Madrigaux for mixed a cappella choir (1938/39). Vogel's twelve-tone works exhibit tertian structures which are particularly emphasized by triads located as consecutive pitches within the rows. Emphasis on tertian structures are not limited to small-scale segmentation of the rows but can also be seen in the structural and tonal organization of complete movements and works. A primary example is the Konzert für Violoncello und Orchester (Cello Concerto) (1955) in which, on a smaller scale, the presentation of the row emphasizes both diminished and minor triads, and at the macro level, the structural triadic relationships unify passages within individual movements as well as the concerto as a whole. Since the …
Date: December 2002
Creator: Hale, Jacquelyn
System: The UNT Digital Library
Continuous Harmonic Structure in J.S. Bach's Triple Fugues in The Well-Tempered Clavier and Art of Fugue (open access)

Continuous Harmonic Structure in J.S. Bach's Triple Fugues in The Well-Tempered Clavier and Art of Fugue

This thesis explores how the harmonic structures of J.S. Bach's triple fugues interact with their formal, contrapuntal designs. It attempts to explain how each of these elaborate fugues is supported by a single, uninterrupted structure that holds the entire work together. In Bach's fugues one generally encounters large-scale goal-directed motion towards the concluding tonic; this continuous harmonic motion towards the final tonic is consistent with the aesthetics of the Baroque style, which valorizes constant motion or dynamism.
Date: August 2019
Creator: Hahn, Stephen (Stephen Ernst)
System: The UNT Digital Library
Crisis and Catharsis: Linear Analysis and the Interpretation of Herbert Howells' "Requiem" and "Hymnus Paradisi" (open access)

Crisis and Catharsis: Linear Analysis and the Interpretation of Herbert Howells' "Requiem" and "Hymnus Paradisi"

Hymnus Paradisi (1938), a large-scale choral and orchestral work, is well-known as an elegiac masterpiece written by Herbert Howells in response to the sudden loss of his young son in 1935. The composition of this work, as noted by the composer himself and those close to him, successfully served as a means of working through his grief during the difficult years that followed Michael's death. In this dissertation, I provide linear analyses for Howells' Hymnus Paradisi as well as its predecessor, Howells' Requiem (1932), which was adapted and greatly expanded in the creation of Hymnus Paradisi. These analyses and accompanying explanations are intended to provide insight into the intricate contrapuntal style in which Howells writes, showing that an often complex musical surface is underpinned by traditional linear and harmonic patterns on the deeper structural levels. In addition to examining the middleground and background structural levels within each movement, I also demonstrate how Howells creates large-scale musical continuity and shapes the overall composition through the use of large-scale linear connections, shown through the meta-Ursatz (an Ursatz which extends across multiple movements creating multi-movement unity). Finally, in my interpretation of these analyses, I discuss specific motives in Hymnus Paradisi which, I hypothesize, …
Date: August 2018
Creator: Davenport, Jennifer Tish
System: The UNT Digital Library
Deconstructing Webern's Op 25, Drei Lieder: a Multidimensional Assessment (open access)

Deconstructing Webern's Op 25, Drei Lieder: a Multidimensional Assessment

Webern scholarship has not comprehensively examined op. 25, drei lieder. If the selection of text for op. 25 is viewed as one work in three movements they create a ternary form (A-B-A1). To show how this form is developed in the music the author creates a new analytical system based on Schoenberg's Grundgestalt which is defined by three basic ideas: symmetry, liquidation, and variation. The relationship between the voice and accompaniment and Webern's deliberate manipulation of the text is used to reveal the use of a program which is then tied to the numerical symbolism of 2 and 3.
Date: August 2013
Creator: Morgeson, Paul Taylor
System: The UNT Digital Library
Developing Variation and Melodic Contour Analysis: A New Look at the Music of Max Reger (open access)

Developing Variation and Melodic Contour Analysis: A New Look at the Music of Max Reger

Max Reger was a prolific composer on the threshold of modernism. The style of his extensive musical output was polarizing among his contemporaries. A criticism of Reger's music is its complex and dense musical structure. Despite writing tonal music, Reger often pushes the boundaries of tonality so far that all sense of formal organization is seemingly imperceptible. In this dissertation, I offer what I observed to be a new way of discerning Reger's motivic relationships and formal structures within and between movements. There are three primary tools and methods I incorporated to make these observations: Schoenberg's developing variation; melodic contour analysis as discussed by Elizabeth West-Marvin and Diana Deutsch; and Janet Schmalfeldt's motivic cyclicism stemming from internal themes. In this dissertation I examine five different musical works by Reger: D minor Piano Quartet, Clarinet Quintet, Piano Concerto, String Quartet, op. 121 and E minor Piano Trio, op. 102. My analysis shows how Reger relies on melodic contours of his motives to connect musical moments across entire movements and entire works with multiple movements. These motives are developed and often mark structurally significant moments providing the organization often perceived as missing in Reger's music.
Date: August 2018
Creator: McConnell, Sarah E.
System: The UNT Digital Library
Dialogo della musica antica et della moderna of Vincenzo Galilei: Translation and Commentary. [Part 1] (open access)

Dialogo della musica antica et della moderna of Vincenzo Galilei: Translation and Commentary. [Part 1]

The purpose of this study is to provide a practical English translation of Vincenzo Galilei's significant treatise on ancient and modern music (1581). In spite of the important place this work holds in the history of music, it has never before been made available in its entirety in any language other than the original Italian. This volume includes the front matter and chapters 1-3.
Date: August 1973
Creator: Herman, Robert H., 1934-
System: The UNT Digital Library