Basic Chord Scales
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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. -
Chapter 26 Scales a La Mode
CHAPTER 26 SCALES A LA MODE Musical innovation is full of danger to the State, for when modes of music change, the laws of the State always change with them. PLATO WHAT IS A MODE? A mode is a type of scale. Modes are used in music like salsa, jazz, country, rock, fusion, speed metal, and more. The reason the Chapter image is of musicians jamming is that modes are important to understanding (and using) jazz theory, and helpful if you’re trying to understand improvisation. Certain modes go with certain chords. For more information about modes and their specific uses in jazz, read James Levine’s excellent book, Jazz Theory. On the Web at http://is.gd/iqufof These are also called “church modes” because they were first used in the Catholic Church back in Medieval times (remember good old Guido d’ Arezzo?). The names of the modes were taken from the Greek modes, but other than the names, they have no relation to the Greek modes. The two modes that have been used the most, and the only two most people know, are now called the Major and natural minor scales. Their original names were the Ionian mode (Major), and the Aeolian mode (natural minor). The other modes are: dorian, phrygian, lydian, mixolydian, and locrian. Modes are easy to understand. We’ll map out each mode’s series of whole and half steps and use the key of C so there aren’t any sharps or flats to bother with. THE MODES IONIAN Ionian is used in nearly all Western music, from Acid Rock to Zydeco. -
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. -
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. -
Scales, Modes, Intervals and the Circle of Fifths
Scales, Modes, Intervals and the Circle of Fifths The word scale comes from the Latin word meaning ladder. So you can think of a scale climbing the rungs of the ladder which is represented by the stave. The degrees of a scale You have to have a note on every single line or space. Each degree of the scale has a special name: • 1st degree: the tonic • 2nd degree: the supertonic • 3rd degree: the mediant • 4th degree: the subdominant • 5th degree: the dominant • 6th degree: the submediant • 7th degree: the leading note (or leading tone) The 8th degree of the scale is actually the tonic but an octave higher. For that reason when naming the degrees of the scale you should always call it the 1st degree. MAJOR SCALES One of the more common types of scale is the major scale. Major scales are defined by their combination of semitones and tones (whole steps and half steps): Tone – Tone – Semitone – Tone – Tone – Tone – Semitone Or in whole steps and half steps it would be: Whole – Whole – Half – Whole – Whole – Whole – Half Major scale formula MINOR SCALES The second type of scale that we’re going to look at is the minor scale. Minor scales also have seven notes like the major scale but they’re defined by having a flattened third. This means that the third note of the scale is three semitones above the first note, unlike major scales where the third note of the scale is four semitones above. A MELODIC MINOR SCALE There are three different types of minor scale: • the NATURAL minor • the HARMONIC minor • the MELODIC minor Each type of minor scale uses a slightly different formula of semitones and tones but they all have that minor third. -
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) -
Jazz Improvisation for the B-Flat Soprano Trumpet: an Introductory Text for Teaching Basic Theoretical and Performance Principles
Louisiana State University LSU Digital Commons LSU Historical Dissertations and Theses Graduate School 1973 Jazz Improvisation for the B-Flat Soprano Trumpet: an Introductory Text for Teaching Basic Theoretical and Performance Principles. John Willys Mccauley Louisiana State University and Agricultural & Mechanical College Follow this and additional works at: https://digitalcommons.lsu.edu/gradschool_disstheses Recommended Citation Mccauley, John Willys, "Jazz Improvisation for the B-Flat Soprano Trumpet: an Introductory Text for Teaching Basic Theoretical and Performance Principles." (1973). LSU Historical Dissertations and Theses. 2554. https://digitalcommons.lsu.edu/gradschool_disstheses/2554 This Dissertation is brought to you for free and open access by the Graduate School at LSU Digital Commons. It has been accepted for inclusion in LSU Historical Dissertations and Theses by an authorized administrator of LSU Digital Commons. For more information, please contact [email protected]. INFORMATION TO USERS This material was produced from a microfilm copy of the original document. While the most advanced technological means to photograph and reproduce this document have been used, the quality is heavily dependent upon the quality of the original submitted. The following explanation of techniques is provided to help you understand markings or patterns which may appear on this reproduction. 1.T he sign or "target" for pages apparently lacking from the document photographed is "Missing Page{s)". If it was possible to obtain the missing page(s) or section, they are spliced into the film along with adjacent pages. This may have necessitated cutting thru an image and duplicating adjacent pages to insure you complete continuity. 2. When an image on the film is obliterated with a large round black mark, it is an indication that the photographer suspected that the copy may have moved during exposure and thus cause a blurred image. -
A-Beginner-Guide-To-Modes.Pdf
A BEGINNER GUIDE TO MODES Here are a few charts to help break down modes, including scale patterns, chord patterns, and the characteristic “colour note / chord” within each scale. Just like with the idea of parallel major and minor scales, you can choose to write solely within one scale (say, D dorian), OR you can borrow a chord from a parallel mode while still using chords from your original scale (i.e., writing in F minor [aeolian] and using a Db major chord, but also using a Bb major chord, borrowed from Dorian mode). The Modes by Numeric Pattern (Rose boxes indicate the scale’s ‘colour note’ or what gives it its character; blue boxes show a potential secondary colour note.) MODE 1 2 3 4 5 6 7 IONIAN 1 2 3 4 5 6 7 DORIAN 1 2 b3 4 5 6 b7 PHRYGIAN 1 b2 b3 4 5 b6 b7 LYDIAN 1 2 3 #4 5 6 7 MIXOLYDIAN 1 2 3 4 5 6 b7 AEOLIAN 1 2 b3 4 5 b6 b7 LOCRIAN 1 b2 b3 4 b5 b6 b7 IONIAN mode is the major scale, so this mode begins on the 1st degree of the major scale. DORIAN mode begins on the 2nd scale degree of the relative ionian mode (major scale) PHRYGIAN mode begins on the 3rd scale degree of the relative ionian mode (major scale) LYDIAN mode begins on the 4th scale degree of the relative ionian mode (major scale) MIXOLYDIAN mode begins on the 5th scale degree of the relative ionian mode (major scale) AEOLIAN mode (minor scale) begins on the 6th degree of the relative ionian mode (major scale). -
How to Incorporate Bebop Into Your Improvisation by Austin Vickrey Discussion Topics
How to Incorporate Bebop into Your Improvisation By Austin Vickrey Discussion Topics • Bebop Characteristics & Style • Scales & Arpeggios • Exercises & Patterns • Articulations & Accents • Listening Bebop Characteristics & Style • Developed in the early to mid 1940’s • Medium to fast tempos • Rapid chord progressions / changes • Instrumental “virtuosity” • Simple to complex harmony - altered chords / substitutions • Dominant syncopation of rhythms • New melodies over existing chord changes - Contrafacts Scales & Arpeggios • Scales and arpeggios are the building blocks for harmony • Use of the half-step interval and rapid arpeggiation are characteristic of bebop playing • Because bebop is often played at a fast tempo with rapidly changing chords, it’s crucial to practice your scales and arpeggios in ALL KEYS! Scales & Arpeggios • Scales you should be familiar with: • Major Scale - Pentatonic: 1, 2, 3, 5, 6 • Minor Scales - Pentatonic: 1, b3, 4, 5, b7; Natural Minor, Dorian Minor, Harmonic Minor, Melodic Minor • Dominant Scales - Mixolydian Mode, Bebop Scales, 5th Mode of Harmonic Minor (V7b9), Altered Dominant / Diminished Whole Tone (V7alt, b9#9b13), Dominant Diminished / Diminished starting with a half step (V7b9#9 with #11, 13) • Half-diminished scale - min7b5 (7th mode of major scale) • Diminished Scale - Starting with a whole step (WHWHWHWH) Scales & Arpeggios • Chords and Arpeggios to work in all keys: • Major triad, Maj6/9, Maj7, Maj9, Maj9#11 • Minor triad, m6/9, m7, m9, m11, minMaj7 • Dominant 7ths • Natural extensions - 9th, 13th -
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.