University of California Santa Cruz Tempo Excursions

Total Page:16

File Type:pdf, Size:1020Kb

University of California Santa Cruz Tempo Excursions UNIVERSITY OF CALIFORNIA SANTA CRUZ TEMPO EXCURSIONS FROM JAVA TO JAMAICA A thesis submitted in partial satisfaction of the requirements for the degree of MASTER OF ARTS in MUSIC by Nathaniel Condit-Schultz June 2012 The Thesis of Nathaniel Condit- Schultz is approved: Professor Amy Beal, Chair Professor Larry Polansky Professor Ben Carson Tyrus Miller Vice Provost and Dean of Graduate Studies Copyright © by Nathaniel Condit-Schultz 2012 Table of Contents Table of Contents - iii List of Figures - iv Abstract - vi Dedication - vii Acknowledgments - vii Introduction - 1 Temper Temper Time - 5 ― “Tempered” 5/4 Tempo Relationships - 6 ― 5/1 Quintuplet Subdivisions - 7 ― 5/4 Cross Rhythms and Tempo Modulations - 8 ― Form - 9 ― Melodic/Harmonic Material - 10 ― Temper Temper Time Figures - 11 Shepard - 14 ― the Tempo Spiral - 14 ― Rhythmic Material - 16 ― Harmonic Material - 16 ― Melodic Material - 18 ― Form - 19 ― Shepard Figures - 20 Faux-Java Blues: a Concerto for Gamelan and Guitar - 23 ― Instrumentation - 23 ― History - 23 ― Sampling - 24 ― Notation - 24 ― Tuning - 25 ― Melodic/Harmonic Material - 27 ― Rhythmic Material - 27 ― Form - 28 ― Faux-Java Blues Figures - 29 List of Supplemental Files - 31 Bibliography - 33 iii List of Figures: Temper Temper Time Figures: 11 Figure 1: 5/4 Tempo relationships in Temper Temper Time 11 Figure 2: Notating 5/1 divisions; quintuplets vs compound quintuple 11 Figure 3: 5/4 Cross-rhythm becomes 5/1 subdivision 12 Figure 4: Shifting hi-hat pattern 12 Figure 5: Formal diagram of Temper Temper Time 12 Figure 6: Motives in Temper Temper Time 13 Shepard Figures: 20 Figure 7: Visualization of tempo spiral 20 Figure 8: Shepard’s main groove 20 Figure 9: Up-beat/off-beat rhythms 20 Figure 10: Tiling onsets 20 Figure 11: Shepard’s main progressions 21 Figure 12: Reinterpreted for modulation 21 Figure 13: Main progressions combined and chromaticized 21 Figure 14: Shepard’s main motive: the octatonic scale as bluesy chromatic neighbors of three different dominant 7th chords 22 Figure 15: The main progressions harmonizing each bluesy neighbor 22 Figure 16: Formal diagram of Shepard 22 iv Faux-Java Blues Figures: 29 Figure 17: Intervals of pelog scale & note names of scale with #1 as root 29 Figure 18: Note names of pelog with #4 as root 29 Figure 19: Note names of pelog with #3 as root 29 Figure 20: Main motive and chords of Faux-Java Blues 30 Figure 21: Formal diagram of Faux-Java Blues 30 v Abstract: Tempo Excursions from Java to Jamaica Nathaniel Condit-Schultz Three pieces of music: Temper Temper Time , Shepard, and Faux-Java Blues form a set that exploits experimental applications of unusual musical features: 5/4 tempo relationships and quintuple divisions; tempo spirals and expanded rock harmony and voice leading; and Indonesian/Western hybridity respectively. Elements of my compositional aesthetic, process, history, knowledge, and skills have contributed to the composition of these pieces, including the influence of popular music, Javanese music, recording technology, and tuning theory. vi Dedication To Yoda Schultz and all the people who have loved him as I have over the last 16 years. Acknowledgments Thanks to David Evan Jones, Paul Nauert, Larry Polansky, Ben Carson, Bill Coulter, James Durland, John Sackett, David Cope, Fred Squatrito. Undang Sumarna, Linda Burman-Hall, Leta Miller, Tanya Merchant and Robin Macomber for being part of my musical education. All the players from my recital and studio recordings: Max Nied, Kai Kopecky, Ray Fernando, Jennifer Beaver, Nikki Mokover, John Bissett, Vincent Zayek,William Long, Kellie Bryant, Jen Lependorf, Elena Pagter, Lucas Turner, Brandon Yu, Jessica Loranger, Mike Knorr, James Thomas, George Narlesky, Simon Northall, Patrick Ferraro. José Pablo Gaona, Mom, Dad, Tobias, Luc, Wiley, Hanna, Lucien, Ben, Joe, Ann, Bill, Shelby, Grandma Susan, Patrick Andrews, Jeremy Cross, Yoda and Llorna for being part of my life. vii Introduction This thesis consists of three pieces, composed between June 2011 and February 2012 but with roots in work going back several years. These pieces do not so much represent a culmination of this work as just a few instantiations of the myriad ideas I've explored and will continue to explore in years to come ―the tip of the iceberg as it were, sculpted into something that I hope will pass for a thesis. My inspiration as a musician and a composer has always been popular music, with the music of the Beatles, Led Zeppelin, Metallica, and Tool influencing me in particular. I have extensively studied the harmonic, melodic, and rhythmic structures of rock/pop music and one of my interests as a composer is in exploring and “expanding” the musical materials of these idioms. Much of the harmonic/melodic vocabulary in my music is based on chromaticizing rock harmony in much the same way that 19 th- century composers progressively chromaticized relatively simple 18 th- century harmony. However, my real focus has been on complex rhythmic/metric structures, notably tempo modulations, cross rhythms, and tempo spirals. The music of Led Zeppelin, Tool, and of Indonesia, supplies idiomatic uses of these devices that have inspired me and this thesis is particularly focused on expanding these rhythmic 1 ideas. The more complicated rhythmic ideas of composers like Conlon Nancarrow, Henry Cowell, and Elliot Carter have also influenced me considerably, but overall contemporary “art” music has never been of great interest to me. In my music I seek a balance of novelty and tradition. I generally experiment with only one feature of the music at time: where I have a novel rhythmic idea to explore I keep the harmonic and melodic material simple and well rooted in idiomatic conventions; conversely if I were to write a 12-tone serial piece or in a experimental tuning I would keep the rhythmic/metric framework conventional and repetitive. The idiomatic easiness of some of the material creates a framework for the listener to understand the music ―something to latch on to ―even as the experimental elements create something new and different. This creates a transparent focus on the experimental idea while still creating idiomatic music. Ultimately I think this approach has more in common with the idiomatically yet creative experimentation of bands like the Beatles, Led Zeppelin, Rush, and Tool, then with the intellectually- fueled novelty-centered approach of much contemporary art music. Thus I still feel that my music is essentially “traditional.” This thesis consists of three experiments: an experiment to see if 5/4 rhythms can be used like 3/2 rhythms in rock/reggae; an experiment to see if a rock/blues groove can exist in a “tempo spiral”; and finally an experiment to see if an electric guitar can be integrated into a gamelan ensemble. 2 Another significant aspect of my aesthetic, again influenced by popular music, is my preference for recorded music over live music. Though recording technology originated as a way of “capturing” live performances, recorded music has long since become the primary source of musical experiences in our society; I suspect that most people in our society, like myself, listen to 10–20 hours of recorded music for every one hour of live music they hear. Thus for me it seems only natural, and even obvious, that the studio-recording is the primary musical object. Of course, live performance remains a special event with social, aural, and spacial elements that cannot be reproduced in a recording but these elements are not essential for me. I prefer the recorded medium's focus on “the music itself” which I see as a logical extension of any focus on composition as opposed to performance. The Beatles' decision in 1966 to quit touring and only produce studio albums (preceded by Glen Gould in 1965) is a particular inspiration to me. By setting aside the constraints, stresses, and endless logistical hardships of live performance I am freed to focus on realizing my musical vision. If the recording is the primary end-product then the recording studio is an essential part of the compositional process. As a composer with the skills of a producer and engineer I can use the studio to achieve as exact a musical rendition of my work as I desire: precisely selecting and controlling rhythms, timbres, dynamics etc. The final result is an ideal musical rendering of my piece that is more detailed than any score can be and more precise and perfect than any live performance. Thus 3 the score is no longer the ultimate authority; the studio recording is the real score, a model, “official” version of the piece that can then be reinterpreted as desired in live performance. This aesthetic explains to some extent why my scores lack certain details, particularly dynamics and articulations, as I can oversee these details with greater precision during the recording process. It should be obvious now that I consider the main part of this thesis not to be the attached scores but the included studio recordings of the three pieces. These recordings were assembled in May and June of 2012, recorded in the UCSC Recording Studio (thanks to Bill Coulter), the UCSC Electronic Music Studio (thanks to Peter Elsea), and at my home studio where they were mixed and edited. I also include a recording of the live performance of the pieces at my Master's Recital, which took place on April 14 th 2012 in the UCSC recital hall and a second performance of Faux-Java Blues which took place in the same hall on May 19 th 2012. 4 Temper Temper Time for Alto Saxophone, two Trumpets, Trombone, Drum Kit, Electric Bass, Keyboard, and Electric Guitar. Temper Temper Time realizes several experimental rhythmic “expansions” of rock, reggae, and ska idioms. Whereas rhythm in reggae and rock is based on rhythmic relationships of 1/1, 2/1, 3/1 and 3/2, Temper Time explores rhythmic relationships of 5/1, 5/2 and 5/4, realizing 5-based rhythms analogous to the 3- and 2- based rhythms found in rock and reggae.
Recommended publications
  • 4. Non-Heptatonic Modes
    Tagg: Everyday Tonality II — 4. Non‐heptatonic modes 151 4. Non‐heptatonic modes If modes containing seven different scale degrees are heptatonic, eight‐note modes are octatonic, six‐note modes hexatonic, those with five pentatonic, while four‐ and three‐note modes are tetratonic and tritonic. Now, even though the most popular pentatonic modes are sometimes called ‘gapped’ because they contain two scale steps larger than those of the ‘church’ modes of Chapter 3 —doh ré mi sol la and la doh ré mi sol, for example— they are no more incomplete FFBk04Modes2.fm. 2014-09-14,13:57 or empty than the octatonic start to example 70 can be considered cluttered or crowded.1 Ex. 70. Vigneault/Rochon (1973): Je chante pour (octatonic opening phrase) The point is that the most widespread convention for numbering scale degrees (in Europe, the Arab world, India, Java, China, etc.) is, as we’ve seen, heptatonic. So, when expressions like ‘thirdless hexatonic’ occur in this chapter it does not imply that the mode is in any sense deficient: it’s just a matter of using a quasi‐global con‐ vention to designate a particular trait of the mode. Tritonic and tetratonic Tritonic and tetratonic tunes are common in many parts of the world, not least in traditional music from Micronesia and Poly‐ nesia, as well as among the Māori, the Inuit, the Saami and Native Americans of the great plains.2 Tetratonic modes are also found in Christian psalm and response chanting (ex. 71), while the sound of children chanting tritonic taunts can still be heard in playgrounds in many parts of the world (ex.
    [Show full text]
  • Models of Octatonic and Whole-Tone Interaction: George Crumb and His Predecessors
    Models of Octatonic and Whole-Tone Interaction: George Crumb and His Predecessors Richard Bass Journal of Music Theory, Vol. 38, No. 2. (Autumn, 1994), pp. 155-186. Stable URL: http://links.jstor.org/sici?sici=0022-2909%28199423%2938%3A2%3C155%3AMOOAWI%3E2.0.CO%3B2-X Journal of Music Theory is currently published by Yale University Department of Music. Your use of the JSTOR archive indicates your acceptance of JSTOR's Terms and Conditions of Use, available at http://www.jstor.org/about/terms.html. JSTOR's Terms and Conditions of Use provides, in part, that unless you have obtained prior permission, you may not download an entire issue of a journal or multiple copies of articles, and you may use content in the JSTOR archive only for your personal, non-commercial use. Please contact the publisher regarding any further use of this work. Publisher contact information may be obtained at http://www.jstor.org/journals/yudm.html. Each copy of any part of a JSTOR transmission must contain the same copyright notice that appears on the screen or printed page of such transmission. The JSTOR Archive is a trusted digital repository providing for long-term preservation and access to leading academic journals and scholarly literature from around the world. The Archive is supported by libraries, scholarly societies, publishers, and foundations. It is an initiative of JSTOR, a not-for-profit organization with a mission to help the scholarly community take advantage of advances in technology. For more information regarding JSTOR, please contact [email protected]. http://www.jstor.org Mon Jul 30 09:19:06 2007 MODELS OF OCTATONIC AND WHOLE-TONE INTERACTION: GEORGE CRUMB AND HIS PREDECESSORS Richard Bass A bifurcated view of pitch structure in early twentieth-century music has become more explicit in recent analytic writings.
    [Show full text]
  • Pitch-Class Set Theory: an Overture
    Chapter One Pitch-Class Set Theory: An Overture A Tale of Two Continents In the late afternoon of October 24, 1999, about one hundred people were gathered in a large rehearsal room of the Rotterdam Conservatory. They were listening to a discussion between representatives of nine European countries about the teaching of music theory and music analysis. It was the third day of the Fourth European Music Analysis Conference.1 Most participants in the conference (which included a number of music theorists from Canada and the United States) had been looking forward to this session: meetings about the various analytical traditions and pedagogical practices in Europe were rare, and a broad survey of teaching methods was lacking. Most felt a need for information from beyond their country’s borders. This need was reinforced by the mobility of music students and the resulting hodgepodge of nationalities at renowned conservatories and music schools. Moreover, the European systems of higher education were on the threshold of a harmoni- zation operation. Earlier that year, on June 19, the governments of 29 coun- tries had ratifi ed the “Bologna Declaration,” a document that envisaged a unifi ed European area for higher education. Its enforcement added to the urgency of the meeting in Rotterdam. However, this meeting would not be remembered for the unusually broad rep- resentation of nationalities or for its political timeliness. What would be remem- bered was an incident which took place shortly after the audience had been invited to join in the discussion. Somebody had raised a question about classroom analysis of twentieth-century music, a recurring topic among music theory teach- ers: whereas the music of the eighteenth and nineteenth centuries lent itself to general analytical methodologies, the extremely diverse repertoire of the twen- tieth century seemed only to invite ad hoc approaches; how could the analysis of 1.
    [Show full text]
  • The Lowdown on the Octatonic Scale by Frank Horvat
    The Lowdown on the Octatonic Scale By Frank Horvat Within the last year, RCM Examinations has revised its Theory Syllabus. A number of new topics have been added to the course of study. In Grade One Rudiments, scale types such as the octatonic scale are now expected to be part of a student's knowledge base. An octatonic scale includes eight pitches per octave arranged in a pattern of alternating semitones and whole tones (for example: c c# d# e f# g a a# c). Octatonic scales can start on any pitch and do not require a key signature. Although the concept of the octatonic scale might be foreign to some, one does not have to look too far for musical examples. One of the first composers to use this scale was Rimsky-Korsakov who looked to "exotic" non-Western scales as a basis for some of his melodic ideas. It was Rimsky-Korsakov who would introduce it to the next generation of Russian composers including Skryabin & Stravinsky who used it in a variety of their compositions in the early 1900s. Bartok also used the octatonic scale in a number of his works including pieces within the Mikrokosmos. Look to Nos. 101 & 109 for clear examples of usage. Later in the 20th century, Messiaen would use it in works as a basis for his tone rows, as part of his philosophy of integral serialism. In order to help your students grasp this scale, here are a few activities that you can try in your studio: • Draw the scale on manuscript paper assigning a variety of starting notes • Have them sing or play it so they can hear the uniqueness of the set of pitches • Sight read pieces from excerpts of Bartok's Mikrokosmos • Suggest that they compose or improvise a short piece based on a melody constructed from the notes of an octatonic scale.
    [Show full text]
  • Musical Narrative As a Tale of the Forest in Sibelius's Op
    Musical Narrative as a Tale of the Forest in Sibelius’s Op. 114 Les Black The unification of multi-movement symphonic works was an important idea for Sibelius, a fact revealed in his famous conversation with Gustav Mahler in 1907: 'When our conversation touched on the essence of the symphony, I maintained that I admired its strictness and the profound logic that creates an inner connection between all the motifs.'1 One might not expect a similar network of profoundly logical connections to exist in sets of piano miniatures, pieces he often suggested were moneymaking potboilers. However, he did occasionally admit investing energy into these little works, as in the case of this diary entry from 25th July 1915: "All these days have gone up in smoke. I have searched my heart. Become worried about myself, when I have to churn out these small lyrics. But what other course do I have? Even so, one can do these things with skill."2 While this admission might encourage speculation concerning the quality of individual pieces, unity within groups of piano miniatures is influenced by the diverse approaches Sibelius employed in composing these works. Some sets were composed in short time-spans, and in several cases included either programmatic titles or musical links that relate the pieces. Others sets were composed over many years and appear to have been compiled simply to satisfied the demands of a publisher. Among the sets with programmatic links are Op. 75, ‘The Trees’, and Op. 85, ‘The Flowers’. Unifying a set through a purely musical device is less obvious, but one might consider his very first group of piano pieces, the Op.
    [Show full text]
  • Stravinsky and the Octatonic: a Reconsideration
    Stravinsky and the Octatonic: A Reconsideration Dmitri Tymoczko Recent and not-so-recent studies by Richard Taruskin, Pieter lary, nor that he made explicit, conscious use of the scale in many van den Toorn, and Arthur Berger have called attention to the im- of his compositions. I will, however, argue that the octatonic scale portance of the octatonic scale in Stravinsky’s music.1 What began is less central to Stravinsky’s work than it has been made out to as a trickle has become a torrent, as claims made for the scale be. In particular, I will suggest that many instances of purported have grown more and more sweeping: Berger’s initial 1963 article octatonicism actually result from two other compositional tech- described a few salient octatonic passages in Stravinsky’s music; niques: modal use of non-diatonic minor scales, and superimposi- van den Toorn’s massive 1983 tome attempted to account for a tion of elements belonging to different scales. In Part I, I show vast swath of the composer’s work in terms of the octatonic and that the rst of these techniques links Stravinsky directly to the diatonic scales; while Taruskin’s even more massive two-volume language of French Impressionism: the young Stravinsky, like 1996 opus echoed van den Toorn’s conclusions amid an astonish- Debussy and Ravel, made frequent use of a variety of collections, ing wealth of musicological detail. These efforts aim at nothing including whole-tone, octatonic, and the melodic and harmonic less than a total reevaluation of our image of Stravinsky: the com- minor scales.
    [Show full text]
  • Changd75304.Pdf
    Copyright by Chia-Lun Chang 2006 The Treatise Committee for Chia-Lun Chang Certifies that this is the approved version of the following treatise: FIVE PRELUDES OPUS 74 BY ALEXANDER SCRIABIN: THE MYSTIC CHORD AS BASIS FOR NEW MEANS OF HARMONIC PROGRESSION Committee: Elliott Antokoletz, Co-Supervisor Lita Guerra, Co-Supervisor Gregory Allen A. David Renner Rebecca A. Baltzer Reshma Babra Naidoo FIVE PRELUDES OPUS 74 BY ALEXANDER SCRIABIN: THE MYSTIC CHORD AS BASIS FOR NEW MEANS OF HARMONIC PROGRESSION by Chia-Lun Chang, B.A., M.M. Treatise Presented to the Faculty of the Graduate School of The University of Texas at Austin in Partial Fulfillment of the Requirements for the Degree of Doctor of Musical Arts The University of Texas at Austin December, 2006 Dedication To Mom and Dad Acknowledgements I wish to express my sincere gratitude to my academic supervisor, Professor Elliott Antokoletz, for his intelligence, unfailing energy and his inexhaustible patience. This project would not have been possible without his invaluable guidance and assistance. My deepest appreciation goes to my piano teacher, Professor Lita Guerra, whose unconditional support and encouragement gave me strength and faith to complete the treatise. Acknowledgment is gratefully made to the publisher for the use of the musical examples. Credit is given to Alexander Scriabin: Five Preludes, Op. 74 [public domain]. Piano score originally published by the Izdatel’stvo Muzyka [Music Publishing House], Moscow, 1967, reprinted 1973 by Dover Publications, Inc. Minneola, N.Y. v FIVE PRELUDES OPUS 74 BY ALEXANDER SCRIABIN: THE MYSTIC CHORD AS BASIS FOR NEW MEANS OF HARMONIC PROGRESSION Publication No._____________ Chia-Lun Chang, D.M.A.
    [Show full text]
  • GLOSSARY the Following Terms and Concepts Are Studied in Analytical Techniques I and II. in General, the Items in Bold Typeset
    GLOSSARY The following terms and concepts are studied in Analytical Techniques I and II. In general, the items in bold typeset are discussed in Analytical Techniques II, while the items in regular typeset are studied in Analytical Techniques I. Aggregates (in 12-tone technique) Allen Forte’s List (set-theory) Altered dominant chords Altered predominant chords Altered transition (in sonata form) Answers: real vs. tonal (in fugue) Ars Antiqua Ars Nova Augmentation (rhythmic) Augmented dominant chords Augmented-sixth chords: 3 types Augmented-sixth chords: voice leading Axis System Baroque period Basso continuo Binary form Bitonality Cadences (in Medieval and Renaissance music) Cadences (in tonal music) Cadence rhyme (in binary form) Cadential episode (in fugue) Cadenza (in classical concerto) Caesura Canon vs. imitation Cantus firmus Cantus firmus mass Centric vs. Tonal music Chaconne Change of mode Changing meter Character pieces (Romantic period) Chorale prelude Chords of addition Chords of omission Chromatic mediants: 3 types Chromatic modulation Chromatic scale Church modes Circle-of-fifths progression Closely related keys Closing (in sonata form) Coda Codetta Color (in isorhythmic technique) Combinatoriality (12-tone) Common-tone augmented chord Common-tone diminished chord Common-tone dominant chord Common-tone modulation Compound melody Compound ternary form Concertato Concerto form Concerto grosso Continuous variation Counter-exposition (in fugue) Counterpoint Counter-reformation Crab canon Cross rhythm Da capo Dance suite (Baroque
    [Show full text]
  • Modeling Tonal Tension Review By: Fred Lerdahl, Carol L
    Modeling Tonal Tension Review by: Fred Lerdahl, Carol L. Krumhansl Music Perception: An Interdisciplinary Journal, Vol. 24, No. 4 (April 2007), pp. 329-366 Published by: University of California Press Stable URL: http://www.jstor.org/stable/10.1525/mp.2007.24.4.329 . Accessed: 03/04/2013 13:59 Your use of the JSTOR archive indicates your acceptance of the Terms & Conditions of Use, available at . http://www.jstor.org/page/info/about/policies/terms.jsp . JSTOR is a not-for-profit service that helps scholars, researchers, and students discover, use, and build upon a wide range of content in a trusted digital archive. We use information technology and tools to increase productivity and facilitate new forms of scholarship. For more information about JSTOR, please contact [email protected]. University of California Press is collaborating with JSTOR to digitize, preserve and extend access to Music Perception: An Interdisciplinary Journal. http://www.jstor.org This content downloaded from 128.84.127.40 on Wed, 3 Apr 2013 13:59:23 PM All use subject to JSTOR Terms and Conditions Modeling Tonal Tension 329 MODELING TONAL TENSION FRED LERDAHL participants’ responses (Bigand, Parncutt, & Lerdahl, Columbia University 1996; Cuddy & Smith, 2000; Krumhansl, 1996; Lerdahl & Krumhansl, 2004; Palmer, 1996; Smith & Cuddy, CAROL L. KRUMHANSL 2003). Our purpose here is to provide a comparatively Cornell University comprehensive empirical treatment and analysis of the model’s predictions over a range of musical styles. THIS STUDY PRESENTS AND TESTS a theory of tonal ten- By “tonal tension” we mean not an inclusive defini- sion (Lerdahl, 2001).
    [Show full text]
  • 7700 Octatonic.Mus
    The Octatonic Collection The octatonic collection (or scale), as its name suggests, is an eight-member pitch-class set used as a scale or referential collection in much twentieth-century music. It was called by Olivier Messiaen a mode of limited transposition because it has only three discrete transpositions (by contrast to the diatonic scale, which has twelve). Here are the three forms of the octatonic: M2 m2 M2 m2 M2 m2 m2 M2 m2 OCT0,1 & bœ nœ #œ œ œ bœ ((nœ) œ bœ M2 m2 M2 m2 M2 m2 M2 m2 OCT1,2 & œ œ #œ #œ œ (#œ) #œ œ œ m2 M2 m2 M2 m2 M2 M2 m2 OCT2,3 œ œ (œ) & œ bœ œ #œ #œ œ Each form of the octatonic collection is named after the two lowest-numbered pitch integers that make up one of its component semitones. Note the regular alternation of half steps and whole steps in the collection. The octatonic collection shares certain features of the diatonic scale, but its extreme symmetry differentiates it from the major, minor or pentatonic scales.* Structure of the octatonic collection The octatonic collection can be considered in several different ways, all of which point to its symmetrical construction. In Forte's catalogue it is set class 3-28(0134679T); it is Messiaen's second mode of limited transposition. bœ œ œ œ & bœ bœ nœ #œ œ œ œ œ œ œ #œ #œ œ bœ œ #œ #œ œ œ {9,10} #œ {4,5} {7,8} {10,11} {2,3} {5,6} {8,9} {11,0} {0,1} {3,4} {6,7} {1,2} This is also true of each ic2 (whole tone) dyad, each ic4 (major third) dyad, and each ic5 dyad.
    [Show full text]
  • Structural Octatonicism in Cindy Mctee's Symphony No.1
    STRUCTURAL OCTATONICISM IN CINDY MCTEE’S SYMPHONY NO. 1: BALLET FOR ORCHESTRA Jennifer L. Weaver, B.M.E. Thesis Prepared for the Degree of MASTER OF MUSIC UNIVERSITY OF NORTH TEXAS August 2007 APPROVED: Joán Groom, Major Professor David Schwarz, Minor Professor Margaret Notley, Committee Member James Scott, Dean of the College of Music Sandra L. Terrell, Dean of the Robert B. Toulouse School of Graduate Studies Weaver, Jennifer L. Structural Octatonicism in Cindy McTee’s Symphony No.1: Ballet for Orchestra, Master of Music (Music Theory), August 2007, 68 pp., 36 illustrations, bibliography, 17 titles. Cindy McTee’s Symphony No. 1: Ballet for Orchestra is composed primarily of pitch materials from the octatonic collections that contain both diatonic and non-diatonic relationships in the themes, harmonic content, and larger structure of the symphony. Because the octatonic collections contain the potential for both diatonic and non-diatonic relationships, the piece is argued to have octatonic structure, as the octatonic collection is capable of producing both relationships. The second chapter contains a review of the literature, focusing particularly on the work of Arthur Berger, Pieter C. van den Toorn, Richard Taruskin, and Allen Forte. Next, the octatonic structure of the symphony is shown in the thematic material. Finally, the harmonic support and large-scale structure of the piece are shown to contain octatonic relationships as well. Copyright 2007 by Jennifer L. Weaver ii TABLE OF CONTENTS Page LIST OF MUSICAL EXAMPLES................................................................................................ iv Chapter 1. INTRODUCTION ...................................................................................................1 2. A REVIEW OF THE OCTATONIC COLLECTIONS IN SCHOLARSHIP .........6 3. OCTATONICISM AND THE THEMES OF SYMPHONY NO.
    [Show full text]
  • Equal Divisions Doug Wilde a Thesis Submitted
    EQUAL DIVISIONS DOUG WILDE A THESIS SUBMITTED TO THE FACULTY OF GRADUATE STUDIES IN PARTIAL FULFILLMENT OF THE REQUIREMENTS FOR THE DEGREE OF MASTER OF ARTS GRADUATE PROGRAM IN MUSIC YORK UNIVERSITY TORONTO, ONTARIO MARCH 2016 © DOUG WILDE, 2016 ABSTRACT The equal tempered scale may be divided equally into twelve, six, four, three and two equal parts. From each division, symmetrical harmonic environments may be created that sound and function in different ways than diatonic systems. Some composers use these systems exclusively, and some combine them with more traditional harmonic systems. This thesis presents ten original compositions. Each division of the octave is represented by a jazz and a chamber piece. A brief history of equal temperament is included, followed by a chronology of the introduction of symmetrical scales and harmonic material in Western art music and jazz. The methods of several composers, all proponents of symmetry in different ways, are also examined. ii ACKNOWLEDGEMENTS I would like to thank Professors Al Henderson and Matt Vander Woude for their encouragement, guidance and wisdom. The assistance they offered in the preparation of this thesis is greatly appreciated. I would also like to acknowledge the guidance and input provided by Professors Michael Coghlan, Jay Rahn and Sundar Viswanathan. Thank you also to the Graduate Program Assistant, Tere Tilban-Rios. iii TABLE OF CONTENTS Abstract ........................................................................................................................... ii
    [Show full text]