How to Improvise on Minor II-V's Mini-Guide Some Jazz Theory Considerations
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I. the Term Стр. 1 Из 93 Mode 01.10.2013 Mk:@Msitstore:D
Mode Стр. 1 из 93 Mode (from Lat. modus: ‘measure’, ‘standard’; ‘manner’, ‘way’). A term in Western music theory with three main applications, all connected with the above meanings of modus: the relationship between the note values longa and brevis in late medieval notation; interval, in early medieval theory; and, most significantly, a concept involving scale type and melody type. The term ‘mode’ has always been used to designate classes of melodies, and since the 20th century to designate certain kinds of norm or model for composition or improvisation as well. Certain phenomena in folksong and in non-Western music are related to this last meaning, and are discussed below in §§IV and V. The word is also used in acoustical parlance to denote a particular pattern of vibrations in which a system can oscillate in a stable way; see Sound, §5(ii). For a discussion of mode in relation to ancient Greek theory see Greece, §I, 6 I. The term II. Medieval modal theory III. Modal theories and polyphonic music IV. Modal scales and traditional music V. Middle East and Asia HAROLD S. POWERS/FRANS WIERING (I–III), JAMES PORTER (IV, 1), HAROLD S. POWERS/JAMES COWDERY (IV, 2), HAROLD S. POWERS/RICHARD WIDDESS (V, 1), RUTH DAVIS (V, 2), HAROLD S. POWERS/RICHARD WIDDESS (V, 3), HAROLD S. POWERS/MARC PERLMAN (V, 4(i)), HAROLD S. POWERS/MARC PERLMAN (V, 4(ii) (a)–(d)), MARC PERLMAN (V, 4(ii) (e)–(i)), ALLAN MARETT, STEPHEN JONES (V, 5(i)), ALLEN MARETT (V, 5(ii), (iii)), HAROLD S. POWERS/ALLAN MARETT (V, 5(iv)) Mode I. -
Modelling Cadence Perception Via Musical Parameter Tuning To
Modelling Cadence Perception Via Musical Parameter Tuning to Perceptual Data Maximos Kaliakatsos-Papakostas, Asterios Zacharakis, Costas Tsougras, Emilios Cambouropoulos To cite this version: Maximos Kaliakatsos-Papakostas, Asterios Zacharakis, Costas Tsougras, Emilios Cambouropoulos. Modelling Cadence Perception Via Musical Parameter Tuning to Perceptual Data. 12th IFIP Inter- national Conference on Artificial Intelligence Applications and Innovations (AIAI), Sep 2016, Thes- saloniki, Greece. pp.552-561, 10.1007/978-3-319-44944-9_49. hal-01557595 HAL Id: hal-01557595 https://hal.inria.fr/hal-01557595 Submitted on 6 Jul 2017 HAL is a multi-disciplinary open access L’archive ouverte pluridisciplinaire HAL, est archive for the deposit and dissemination of sci- destinée au dépôt et à la diffusion de documents entific research documents, whether they are pub- scientifiques de niveau recherche, publiés ou non, lished or not. The documents may come from émanant des établissements d’enseignement et de teaching and research institutions in France or recherche français ou étrangers, des laboratoires abroad, or from public or private research centers. publics ou privés. Distributed under a Creative Commons Attribution| 4.0 International License Modelling cadence perception via musical parameter tuning to perceptual data. Maximos Kaliakatsos-Papakostas, Asterios Zacharakis, Costas Tsougras, and Emilios Cambouropoulos Department of Music Studies, Aristotle University of Thessaloniki, 54124, Thessaloniki, Greece {maxk,aszachar,tsougras,emilios}@mus.auth.gr Abstract. Conceptual blending when used as a creative tool combines the features of two input spaces, generating new blended spaces that share the common structure of the inputs, as well as different combi- nations of their non-common parts. In the case of music, conceptual blending has been employed creatively, among others, in generating new cadences (pairs of chords that conclude musical phrases). -
Studies in Instrumentation and Orchestration and in the Recontextualisation of Diatonic Pitch Materials (Portfolio of Compositions)
Studies in Instrumentation and Orchestration and in the Recontextualisation of Diatonic Pitch Materials (Portfolio of Compositions) by Chris Paul Harman Submitted to The University of Birmingham for the degree of DOCTOR OF PHILOSOPHY Department of Music School of Humanities The University of Birmingham September 2011 University of Birmingham Research Archive e-theses repository This unpublished thesis/dissertation is copyright of the author and/or third parties. The intellectual property rights of the author or third parties in respect of this work are as defined by The Copyright Designs and Patents Act 1988 or as modified by any successor legislation. Any use made of information contained in this thesis/dissertation must be in accordance with that legislation and must be properly acknowledged. Further distribution or reproduction in any format is prohibited without the permission of the copyright holder. Abstract: The present document examines eight musical works for various instruments and ensembles, composed between 2007 and 2011. Brief summaries of each work’s program are followed by discussions of instrumentation and orchestration, and analysis of pitch organization. Discussions of instrumentation and orchestration explore the composer’s approach to diversification of instrumental ensembles by the inclusion of non-orchestral instruments, and redefinition of traditional hierarchies among instruments in a standard ensemble or orchestral setting. Analyses of pitch organization detail various ways in which the composer renders diatonic -
Chromatic Sequences
CHAPTER 30 Melodic and Harmonic Symmetry Combine: Chromatic Sequences Distinctions Between Diatonic and Chromatic Sequences Sequences are paradoxical musical processes. At the surface level they provide rapid harmonic rhythm, yet at a deeper level they function to suspend tonal motion and prolong an underlying harmony. Tonal sequences move up and down the diatonic scale using scale degrees as stepping-stones. In this chapter, we will explore the consequences of transferring the sequential motions you learned in Chapter 17 from the asymmetry of the diatonic scale to the symmetrical tonal patterns of the nineteenth century. You will likely notice many similarities of behavior between these new chromatic sequences and the old diatonic ones, but there are differences as well. For instance, the stepping-stones for chromatic sequences are no longer the major and minor scales. Furthermore, the chord qualities of each individual harmony inside a chromatic sequence tend to exhibit more homogeneity. Whereas in the past you may have expected major, minor, and diminished chords to alternate inside a diatonic sequence, in the chromatic realm it is not uncommon for all the chords in a sequence to manifest the same quality. EXAMPLE 30.1 Comparison of Diatonic and Chromatic Forms of the D3 ("Pachelbel") Sequence A. 624 CHAPTER 30 MELODIC AND HARMONIC SYMMETRY COMBINE 625 B. Consider Example 30.1A, which contains the D3 ( -4/ +2)-or "descending 5-6"-sequence. The sequence is strongly goal directed (progressing to ii) and diatonic (its harmonies are diatonic to G major). Chord qualities and distances are not consistent, since they conform to the asymmetry of G major. -
Mode Handout Without Examples
The 24 Essential Mode/Chord Structures Modes & Symbols of the Major Scale MAJOR SCALE MODE FORMULA I: MAJOR SCALE MODE SYMBOL I: 1-1(1) – IONIAN ma13 EXAMPLES: In the Key of C: C-C(C) With C as the Root: C-C(C) MAJOR SCALE FORMULA II: MAJOR SCALE MODE SYMBOL II: 2-2(1) – DORIAN mi13 EXAMPLES: In the Key of C: D-D(C) With C as the Root: C-C(Bb) MAJOR SCALE FORMULA III: MAJOR SCALE MODE SYMBOL III: 3-3(1) – PHRYGIAN mi11(b9,b13) EXAMPLES: In the Key of C: E-E(C) With C as the Root: C-C(Ab) MAJOR SCALE FORMULA IV: MAJOR SCALE MODE SYMBOL IV: 4-4(1) – LYDIAN ma13(#11) EXAMPLES: In the Key of C: F-F(C) With C as the Root: C-C(G) MAJOR SCALE FORMULA V: MAJOR SCALE MODE SYMBOL V: 5-5(1) – MIXOLYDIAN 13 EXAMPLES: In the Key of C: G-G(C) With C as the Root: C-C(F) MAJOR SCALE FORMULA VI: MAJOR SCALE MODE SYMBOL VI: 6-6(1) – AEOLIAN mi11(b13) EXAMPLES: In the Key of C: A-A(C) With C as the Root: C-C(Eb) MAJOR SCALE FORMULA VII: MAJOR SCALE MODE SYMBOL VII: 7-7(1) – LOCRIAN mi11(b5,b9,b13) EXAMPLES: In the Key of C: B-B(C) With C as the Root: C-C(Db) Modes & Symbols of the Melodic Minor Scale MELODIC MINOR FORMULA I: MELODIC MINOR SCALE MODE SYMBOL I: 1-1(1mm) – MELODIC MINOR mi(ma13) EXAMPLES: In the Key of Cmm: C-C(Cmm) With C as the Root: C-C(Cmm) MELODIC MINOR FORMULA II: MELODIC MINOR SCALE MODE SYMBOL II: 2-2(1mm) – DORIAN b2 Mi13(b9) EXAMPLES: In the Key of Cmm: D-D(Cmm) With C as the Root: C-C(Bbmm) MELODIC MINOR FORMULA III: MELODIC MINOR SCALE MODE SYMBOL III: 3-3(1mm) – LYDIAN AUGMENTED +ma13(#11) EXAMPLES: In the Key of Cmm: Eb-Eb(Cmm) -
Computational Invention of Cadences and Chord Progressions by Conceptual Chord-Blending
Proceedings of the Twenty-Fourth International Joint Conference on Artificial Intelligence (IJCAI 2015) Computational Invention of Cadences and Chord Progressions by Conceptual Chord-Blending Manfred Eppe16, Roberto Confalonieri1, Ewen Maclean2, Maximos Kaliakatsos3, Emilios Cambouropoulos3, Marco Schorlemmer1, Mihai Codescu4, Kai-Uwe Kuhnberger¨ 5 1IIIA-CSIC, Barcelona, Spain 2University of Edinburgh, UK 3University of Thessaloniki, Greece fmeppe,confalonieri,[email protected] [email protected] femilios,[email protected] 4University of Magdeburg, Germany 5 University of Osnabruck,¨ Germany 6 ICSI, Berkeley, USA [email protected] [email protected] [email protected] Abstract chord and moves to the tonic, and the seventh resolves down- wards by stepwise motion, whereas the fifth may be omitted. We present a computational framework for chord inven- In the Phrygian cadence, the bass note (third of the chord) is tion based on a cognitive-theoretic perspective on con- ceptual blending. The framework builds on algebraic the most important note as it plays the role of a downward specifications, and solves two musicological problems. leading note, and the second most important note is the root. It automatically finds transitions between chord progres- In such a setup, we propose two applications of chord blend- sions of different keys or idioms, and it substitutes chords ing, to give rise to new cadences and chord progressions. in a chord progression by other chords of a similar func- The first application is to generate a novel cadence as a ‘fu- tion, as a means to create novel variations. The approach sion’ of existing cadences by blending chords with a similar is demonstrated with several examples where jazz ca- function. -
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. -
The Consecutive-Semitone Constraint on Scalar Structure: a Link Between Impressionism and Jazz1
The Consecutive-Semitone Constraint on Scalar Structure: A Link Between Impressionism and Jazz1 Dmitri Tymoczko The diatonic scale, considered as a subset of the twelve chromatic pitch classes, possesses some remarkable mathematical properties. It is, for example, a "deep scale," containing each of the six diatonic intervals a unique number of times; it represents a "maximally even" division of the octave into seven nearly-equal parts; it is capable of participating in a "maximally smooth" cycle of transpositions that differ only by the shift of a single pitch by a single semitone; and it has "Myhill's property," in the sense that every distinct two-note diatonic interval (e.g., a third) comes in exactly two distinct chromatic varieties (e.g., major and minor). Many theorists have used these properties to describe and even explain the role of the diatonic scale in traditional tonal music.2 Tonal music, however, is not exclusively diatonic, and the two nondiatonic minor scales possess none of the properties mentioned above. Thus, to the extent that we emphasize the mathematical uniqueness of the diatonic scale, we must downplay the musical significance of the other scales, for example by treating the melodic and harmonic minor scales merely as modifications of the natural minor. The difficulty is compounded when we consider the music of the late-nineteenth and twentieth centuries, in which composers expanded their musical vocabularies to include new scales (for instance, the whole-tone and the octatonic) which again shared few of the diatonic scale's interesting characteristics. This suggests that many of the features *I would like to thank David Lewin, John Thow, and Robert Wason for their assistance in preparing this article. -
Towards a Generative Framework for Understanding Musical Modes
Table of Contents Introduction & Key Terms................................................................................1 Chapter I. Heptatonic Modes.............................................................................3 Section 1.1: The Church Mode Set..............................................................3 Section 1.2: The Melodic Minor Mode Set...................................................10 Section 1.3: The Neapolitan Mode Set........................................................16 Section 1.4: The Harmonic Major and Minor Mode Sets...................................21 Section 1.5: The Harmonic Lydian, Harmonic Phrygian, and Double Harmonic Mode Sets..................................................................26 Chapter II. Pentatonic Modes..........................................................................29 Section 2.1: The Pentatonic Church Mode Set...............................................29 Section 2.2: The Pentatonic Melodic Minor Mode Set......................................34 Chapter III. Rhythmic Modes..........................................................................40 Section 3.1: Rhythmic Modes in a Twelve-Beat Cycle.....................................40 Section 3.2: Rhythmic Modes in a Sixteen-Beat Cycle.....................................41 Applications of the Generative Modal Framework..................................................45 Bibliography.............................................................................................46 O1 O Introduction Western -
Tonal Hierarchies in the Music of North India Mary A
View metadata, citation and similar papers at core.ac.uk brought to you by CORE provided by Crossref ri Journal of Experimental Psychology: General . „ u , C?Py 8ht 1984 by the 1984, Vol. 113, No. 3, 394-412 American Psychological Association, Inc. Tonal Hierarchies in the Music of North India Mary A. Castellano J. J. Bharucha Cornell University Dartmouth College Carol L. Krumhansl Cornell University SUMMARY Cross-culturally, most music is tonal in the sense that one particular tone, called the tonic, provides a focus around which the other tones are organized. The specific orga- nizational structures around the tonic show considerable diversity. Previous studies of the perceptual response to Western tonal music have shown that listeners familiar with this musical tradition have internalized a great deal about its underlying organization. Krumhansl and Shepard (1979) developed a probe tone method for quantifying the perceived hierarchy of stability of tones. When applied to Western tonal contexts, the measured hierarchies were found to be consistent with music-theoretic accounts. In the present study, the probe tone method was used to quantify the perceived hierarchy of tones of North Indian music. Indian music is tonal and has many features in common with Western music. One of the most significant differences is that the primary means of expressing tonality in Indian music is through melody, whereas in Western music it is through harmony (the use of chords). Indian music is based on a standard set of melodic forms (called rags), which are themselves built on a large set of scales (thats). The tones within a rag are thought to be organized in a hierarchy of importance. -
Chord-Scale Networks in the Music and Improvisations of Wayne Shorter
Gamut: Online Journal of the Music Theory Society of the Mid-Atlantic Volume 8 Issue 1 Article 7 April 2018 Chord-Scale Networks in the Music and Improvisations of Wayne Shorter Garrett Michaelsen University of Massachusetts, Lowell, [email protected] Follow this and additional works at: https://trace.tennessee.edu/gamut Recommended Citation Michaelsen, Garrett (2018) "Chord-Scale Networks in the Music and Improvisations of Wayne Shorter," Gamut: Online Journal of the Music Theory Society of the Mid-Atlantic: Vol. 8 : Iss. 1 , Article 7. Available at: https://trace.tennessee.edu/gamut/vol8/iss1/7 This Article is brought to you for free and open access by Volunteer, Open Access, Library Journals (VOL Journals), published in partnership with The University of Tennessee (UT) University Libraries. This article has been accepted for inclusion in Gamut: Online Journal of the Music Theory Society of the Mid-Atlantic by an authorized editor. For more information, please visit https://trace.tennessee.edu/gamut. CHORD-SCALE NETWORKS IN THE MUSIC AND IMPROVISATIONS OF WAYNE SHORTER GARRETT MICHAELSEN ayne Shorter’s tune “E.S.P.,” first recorded on Miles Davis’s 1965 album of the same Wname , presents a number of fascinating challenges to harmonic analysis. Example 1 gives the tune’s lead sheet, which shows its melody and chord changes. In the first eight-bar phrase, the harmony moves at a slow, two-bar pace, sliding between chords with roots on E, F, and E beneath a repeating fourths-based melody that contracts to an A4–F4 major third in the last two bars. Shorter’s melody quite often emphasizes diatonic and chromatic ninths, elevenths, and thirteenths against the passing harmonies, thereby underscoring the importance of those extensions to the chords. -
The Death and Resurrection of Function
THE DEATH AND RESURRECTION OF FUNCTION A Dissertation Presented in Partial Fulfillment of the Requirements for the Degree Doctor of Philosophy in the Graduate School of The Ohio State University By John Gabriel Miller, B.A., M.C.M., M.A. ***** The Ohio State University 2008 Doctoral Examination Committee: Approved by Dr. Gregory Proctor, Advisor Dr. Graeme Boone ________________________ Dr. Lora Gingerich Dobos Advisor Graduate Program in Music Copyright by John Gabriel Miller 2008 ABSTRACT Function is one of those words that everyone understands, yet everyone understands a little differently. Although the impact and pervasiveness of function in tonal theory today is undeniable, a single, unambiguous definition of the term has yet to be agreed upon. So many theorists—Daniel Harrison, Joel Lester, Eytan Agmon, Charles Smith, William Caplin, and Gregory Proctor, to name a few—have so many different nuanced understandings of function that it is nearly impossible for conversations on the subject to be completely understood by all parties. This is because function comprises at least four distinct aspects, which, when all called by the same name, function , create ambiguity, confusion, and contradiction. Part I of the dissertation first illuminates this ambiguity in the term function by giving a historical basis for four different aspects of function, three of which are traced to Riemann, and one of which is traced all the way back to Rameau. A solution to the problem of ambiguity is then proposed: the elimination of the term function . In place of function , four new terms—behavior , kinship , province , and quality —are invoked, each uniquely corresponding to one of the four aspects of function identified.