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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. -
2015 Regional Music Scholars Conference Abstracts Friday, March 27 Paper Session 1 1:00-3:05
2015 REGIONAL MUSIC SCHOLARS CONFERENCE A Joint Meeting of the Rocky Mountain Society for Music Theory (RMSMT), Society for Ethnomusicology, Southwest Chapter (SEMSW), and Rocky Mountain Chapter of the American Musicological Society (AMS-RMC) School of Music, Theatre, and Dance, Colorado State University March 27 and 28, 2015 ABSTRACTS FRIDAY, MARCH 27 PAPER SESSION 1 1:00-3:05— NEW APPROACHES TO FORM (RMSMT) Peter M. Mueller (University of Arizona) Connecting the Blocks: Formal Continuity in Stravinsky’s Sérénade en La Phrase structure and cadences did not expire with the suppression of common practice tonality. Joseph Straus points out the increased importance of thematic contrast to delineate sections of the sonata form in the beginning of the nineteenth century. Igor Stravinsky exploited other musical elements (texture, range, counterpoint, dynamics, etc.) to delineate sections in his neoclassical works. While theorists have introduced large-scale formal approaches to Stravinsky’s works (block juxtaposition, stratification, etc.), this paper presents an examination of smaller units to determine how they combine to form coherence within and between blocks. The four movements of the Sérénade present unique variations of phrase construction and continuity between sections. The absence of clear tonic/dominant relationships calls for alternative formal approaches to this piece. Techniques of encirclement, enharmonic ties, and rebarring reveal methods of closure. Staggering of phrases, cadences, and contrapuntal lines aid coherence to formal segments. By reversing the order of phrases in outer sections, Stravinsky provides symmetrical “bookends” to frame an entire movement. Many of these techniques help to identify traditional formal units, such as phrases, periods, and small ternary forms. -
Teaching Guide: Area of Study 7
Teaching guide: Area of study 7 – Art music since 1910 This resource is a teaching guide for Area of Study 7 (Art music since 1910) for our A-level Music specification (7272). Teachers and students will find explanations and examples of all the musical elements required for the Listening section of the examination, as well as examples for listening and composing activities and suggestions for further listening to aid responses to the essay questions. Glossary The list below includes terms found in the specification, arranged into musical elements, together with some examples. Melody Modes of limited transposition Messiaen’s melodic and harmonic language is based upon the seven modes of limited transposition. These scales divide the octave into different arrangements of semitones, tones and minor or major thirds which are unlike tonal scales, medieval modes (such as Dorian or Phrygian) or serial tone rows all of which can be transposed twelve times. They are distinctive in that they: • have varying numbers of pitches (Mode 1 contains six, Mode 2 has eight and Mode 7 has ten) • divide the octave in half (the augmented 4th being the point of symmetry - except in Mode 3) • can be transposed a limited number of times (Mode 1 has two, Mode 2 has three) Example: Quartet for the End of Time (movement 2) letter G to H (violin and ‘cello) Mode 3 Whole tone scale A scale where the notes are all one tone apart. Only two such scales exist: Shostakovich uses part of this scale in String Quartet No.8 (fig. 4 in the 1st mvt.) and Messiaen in the 6th movement of Quartet for the End of Time. -
The Challenge of African Art Music Le Défi De La Musique Savante Africaine Kofi Agawu
Document generated on 09/27/2021 1:07 p.m. Circuit Musiques contemporaines The Challenge of African Art Music Le défi de la musique savante africaine Kofi Agawu Musiciens sans frontières Article abstract Volume 21, Number 2, 2011 This essay offers broad reflection on some of the challenges faced by African composers of art music. The specific point of departure is the publication of a URI: https://id.erudit.org/iderudit/1005272ar new anthology, Piano Music of Africa and the African Diaspora, edited by DOI: https://doi.org/10.7202/1005272ar Ghanaian pianist and scholar William Chapman Nyaho and published in 2009 by Oxford University Press. The anthology exemplifies a diverse range of See table of contents creative achievement in a genre that is less often associated with Africa than urban ‘popular’ music or ‘traditional’ music of pre-colonial origins. Noting the virtues of musical knowledge gained through individual composition rather than ethnography, the article first comments on the significance of the Publisher(s) encounters of Steve Reich and György Ligeti with various African repertories. Les Presses de l’Université de Montréal Then, turning directly to selected pieces from the anthology, attention is given to the multiple heritage of the African composer and how this affects his or her choices of pitch, rhythm and phrase structure. Excerpts from works by Nketia, ISSN Uzoigwe, Euba, Labi and Osman serve as illustration. 1183-1693 (print) 1488-9692 (digital) Explore this journal Cite this article Agawu, K. (2011). The Challenge of African Art Music. Circuit, 21(2), 49–64. https://doi.org/10.7202/1005272ar Tous droits réservés © Les Presses de l’Université de Montréal, 2011 This document is protected by copyright law. -
Pdfdownload April/May/June 2021 MMTA Newsletter
MMTA Newsletter January, February, March 2021 10800 Lyndale Ave S, Ste. 120 Bloomington, MN 55420 MMTA President’s Letter (952) 345-0629 www.mnmusicteachers.com Dear MMTA Friends and Colleagues, [email protected] It’s late April. The grass is the lush, deep green of first spring, and MMTA Board of Directors simultaneously there are snow flurries on the Western Minnesota Dr. Ann DuHamel, NCTM prairie. Over last three weeks I’ve eagerly examined the tulips I President planted last fall. First, verifying the bulbs weren’t devoured by Camille Buddecke, NCTM President-Elect squirrels during the winter and will, in fact, sprout. Now, Inese Krievans, NCTM inspecting their progress daily and spraying natural deterrents to VP-Piano Contests discourage the rampant bunny population of Morris from Doug Rohde feasting on them before they bloom. If I’m a bit obsessive, it’s VP-Convention because tulips are my favorite flowers. Beyond their sheer beauty, I love their Barbara Kennedy, NCTM VP-Piano Educational symbolism. Tulips herald spring—a new season, a new start. A time for growth, for Programs re-birth and transformation. Moreover, optimism is required to plant these tiny, onion- Siri Caltvedt, NCTM like bulbs in the darkening days of autumn—knowing that if we cultivate patience, hope, VP-Voice & Instrumental Programs and faith as we wait through the long, dark night of the winter, our anticipation will be Dr. Jacob Fitzpatrick NCTM rewarded when we see the emerging buds awaken. VP-Finance Nancy Van Kampen The last fourteen months have been a real challenge for us all, there is no doubt about VP-Marketing it. -
Hexatonic Cycles
CHAPTER Two H e x a t o n i c C y c l e s Chapter 1 proposed that triads could be related by voice leading, independently of roots, diatonic collections, and other central premises of classical theory. Th is chapter pursues that proposal, considering two triads to be closely related if they share two common tones and their remaining tones are separated by semitone. Motion between them thus involves a single unit of work. Positioning each triad beside its closest relations produces a preliminary map of the triadic universe. Th e map serves some analytical purposes, which are explored in this chapter. Because it is not fully connected, it will be supplemented with other relations developed in chapters 4 and 5. Th e simplicity of the model is a pedagogical advantage, as it presents a circum- scribed environment in which to develop some central concepts, terms, and modes of representation that are used throughout the book. Th e model highlights the central role of what is traditionally called the chromatic major-third relation, although that relation is theorized here without reference to harmonic roots. It draws attention to the contrary-motion property that is inherent in and exclusive to triadic pairs in that relation. Th at property, I argue, underlies the association of chromatic major-third relations with supernatural phenomena and altered states of consciousness in the early nineteenth century. Finally, the model is suffi cient to provide preliminary support for the central theoretical claim of this study: that the capacity for minimal voice leading between chords of a single type is a special property of consonant triads, resulting from their status as minimal perturbations of perfectly even augmented triads. -
A Proposal for the Inclusion of Jazz Theory Topics in the Undergraduate Music Theory Curriculum
University of Tennessee, Knoxville TRACE: Tennessee Research and Creative Exchange Masters Theses Graduate School 8-2016 A Proposal for the Inclusion of Jazz Theory Topics in the Undergraduate Music Theory Curriculum Alexis Joy Smerdon University of Tennessee, Knoxville, [email protected] Follow this and additional works at: https://trace.tennessee.edu/utk_gradthes Part of the Music Education Commons, Music Pedagogy Commons, and the Music Theory Commons Recommended Citation Smerdon, Alexis Joy, "A Proposal for the Inclusion of Jazz Theory Topics in the Undergraduate Music Theory Curriculum. " Master's Thesis, University of Tennessee, 2016. https://trace.tennessee.edu/utk_gradthes/4076 This Thesis is brought to you for free and open access by the Graduate School at TRACE: Tennessee Research and Creative Exchange. It has been accepted for inclusion in Masters Theses by an authorized administrator of TRACE: Tennessee Research and Creative Exchange. For more information, please contact [email protected]. To the Graduate Council: I am submitting herewith a thesis written by Alexis Joy Smerdon entitled "A Proposal for the Inclusion of Jazz Theory Topics in the Undergraduate Music Theory Curriculum." I have examined the final electronic copy of this thesis for form and content and recommend that it be accepted in partial fulfillment of the equirr ements for the degree of Master of Music, with a major in Music. Barbara A. Murphy, Major Professor We have read this thesis and recommend its acceptance: Kenneth Stephenson, Alex van Duuren Accepted for the Council: Carolyn R. Hodges Vice Provost and Dean of the Graduate School (Original signatures are on file with official studentecor r ds.) A Proposal for the Inclusion of Jazz Theory Topics in the Undergraduate Music Theory Curriculum A Thesis Presented for the Master of Music Degree The University of Tennessee, Knoxville Alexis Joy Smerdon August 2016 ii Copyright © 2016 by Alexis Joy Smerdon All rights reserved. -
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. -
Table of Contents
Table Of Contents Introduction . iii About the Author . iv Chapter 1 - Basic Hexatonic Scales For Jazz Improvisation . 1 The types of basic hexatonic scales . 1 A system to create hexatonic melodies . 7 Positional hexatonic scale fingerings. 9 Long three-octave fingerboard patterns. 15 Some thoughts on HOW to practice the exercises . 22 Applying the hexatonics to altered V7 chords resolving to I chords . 23 Applying hexatonics to complete II-V-I progressions . 26 Applying hexatonics using the 13susb9 sound and its harmonic implications . 29 Applying hexatonics to II-V-I in minor tonality . 30 Applying hexatonics with cycle motion . 31 Applying hexatonics with descending half-step motion . 32 Applying hexatonics with tritone motion . 33 “Editing” eighth-note lines . 34 Applying hexatonics to II-V-I in three-four time . 36 Applying hexatonics to II-V-I with only two beats per change . 38 Fingering and rhythmic variations . 40 The compatibility of hexatonics with wholetone and diminished scales . 41 A sample chorus on a popular standard demonstrating hexatonics Chapter 2 – Using Chromatics to Improvise “Inside” Conventional Chords . 42 Chromatics added to hexatonic lines . 42 Using other chromatic notes added to hexatonic lines . 46 Adding chromatic notes to conventional scale patterns . 48 Diatonic triads and seventh chords with added chromatics . 52 Using added chromatic notes on tonic triads . 54 Practicing the chromatically embellished triads . 56 Exercises on chromatically embellished ninth chords . 67 Introducing the “bebop scales” . 73 Bebop dominant scale exercises . 77 Bebop major scale exercises . 87 More forms and keys for the bebop dominant and major scales . 93 Exercises on the bebop melodic minor scale . -
The History of the Clarinet in South Africa
The History of the Clarinet in South Africa by Becky L. Steltzner M.Mus. (University of Southern California) Thesis Presented in partial fulfilment of the Degree of DOCTOR OF PHILOSOPHY in the South African College of Music Faculty of Humanities University of Cape Town February 2016 Supervisor: Prof. Dr. Rebekka Sandmeier University of Cape Town The copyright of this thesis vests in the author. No quotation from it or information derived from it is to be published without full acknowledgement of the source. The thesis is to be used for private study or non- commercial research purposes only. Published by the University of Cape Town (UCT) in terms of the non-exclusive license granted to UCT by the author. University of Cape Town Copyright © 2016 Becky L. Steltzner The copyright of this thesis vests in the author. No quotation from it or information derived from it is to be published without full acknowledgement of the source. The thesis is to be used for private study or non-commercial research purposes only. Abstract This thesis explores and traces the history of the clarinet in South Africa. After discussing the problems of researching western European music history in South Africa from the arrival of the Dutch in 1652, and briefly summarising that music history up to the first clarinet reference, the thesis goes through the existing clarinet references. These have been sourced from travellers’ journals, newspapers, military histories, other theses, etc., with particular emphasis on the 19th century, since the clarinet was introduced to South Africa near the beginning of it, and the most unknown part of the clarinet’s South African history is within it. -
Tonnetz Patterns in Music
i i i i Outline of New Section 7.5: Tonnetz Patterns in Music This section will describe several examples of interesting patterns on the Tonnetz that occur in a variety of musical compositions. These patterns show how the Tonnetz provides a geometric logic for chord progressions, sometimes even when there is no underlying key for the music. Examples from symphonic music There are a number of examples from the book by Richard Cohn, Audacious Euphony: Chromaticism and the Triad’s Second Nature, (Oxford, 2012). We will refer to this book as an important refer- ence in the section, and as an invitation to readers to explore recent ground breaking scholarship in applications of Tonnetz transformations in music theory. Here are three examples from Cohn’s book: Example 1. Mozart, Symphony in E-flat major, K. 543, finale mm 109–126. Cohn, p. 25, derives the following cycle of chord progressions for this set of measures: T T T T T T T T T T T T T T A♭ −→ a♭ −→ B −→ E −→ B −→ E −→ G −→ e −→ G −→ C −→ G −→ c −→ G −→ E♭ −→ A♭ (1) As we have indicated, these are all Tonnetz transformations. On the left of Figure 1, we diagram this pattern of chord progressions. All of these Tonnetz transformations either lie on an edge, or pass through, the following three pitch class hexagons: E♭ G B (2) We have marked these pitch classes on the chromatic clock on the right of Figure 1. The three radial lines connecting these chords to the center of the chromatic clock illustrate the 3-fold rotational symmetry of these pitch classes about the center of the clock. -
Chapter 1: from Autonomy to Heteronomy: a Change of Paradigm in South African Art Music, 1980-2006
Chapter 1: From autonomy to heteronomy: A change of paradigm in South African art music, 1980-2006 Introduction Composition in South Africa has been an increasingly contested artistic and ideological space since the early 1980s. In this dissertation I argue that the demise of apartheid and the rise of democracy resulted in an institutional and aesthetic crisis for the field of composition, embodied in musical terms by a shift away from a Eurocentric paradigm to a cross-cultural one that embraced various ‘African elements’ within a framework of modernism and discourse of accessibility. In this chapter I consider the factors – both internal to the field of art music and those resulting from larger societal changes – that contributed to this artistic and ideological shift. Partly I am concerned with the politics of the field itself: the struggle for power within a highly contested cultural space. More broadly I am interested in the position of the field relative to changes in society at the macro level, in terms of race, class, and economic imperatives. A central question is, to what extent did the restructuring of the field in response to these changed imperatives affect the aesthetic choices of composers? The autonomy of art music during apartheid was challenged by the politicization of the field during the 1980s. The extent and rapidity of social and institutional change, and the new self-consciousness that it evoked in composers previously only concerned with “production for producers” (Bourdieu 1993:15), resulted in a crisis that foreshadowed an aesthetic revolution, or change of paradigm. In this chapter I present the theoretical basis for this claim and explain some of the historical reasons for its emergence.