The Grand Unified Theory of Fretboard Organization
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Discover Seventh Chords
Seventh Chords Stack of Thirds - Begin with a major or natural minor scale (use raised leading tone for chords based on ^5 and ^7) - Build a four note stack of thirds on each note within the given key - Identify the characteristic intervals of each of the seventh chords w w w w w w w w % w w w w w w w Mw/M7 mw/m7 m/m7 M/M7 M/m7 m/m7 d/m7 w w w w w w % w w w w #w w #w mw/m7 d/wm7 Mw/M7 m/m7 M/m7 M/M7 d/d7 Seventh Chord Quality - Five common seventh chord types in diatonic music: * Major: Major Triad - Major 7th (M3 - m3 - M3) * Dominant: Major Triad - minor 7th (M3 - m3 - m3) * Minor: minor triad - minor 7th (m3 - M3 - m3) * Half-Diminished: diminished triad - minor 3rd (m3 - m3 - M3) * Diminished: diminished triad - diminished 7th (m3 - m3 - m3) - In the Major Scale (all major scales!) * Major 7th on scale degrees 1 & 4 * Minor 7th on scale degrees 2, 3, 6 * Dominant 7th on scale degree 5 * Half-Diminished 7th on scale degree 7 - In the Minor Scale (all minor scales!) with a raised leading tone for chords on ^5 and ^7 * Major 7th on scale degrees 3 & 6 * Minor 7th on scale degrees 1 & 4 * Dominant 7th on scale degree 5 * Half-Diminished 7th on scale degree 2 * Diminished 7th on scale degree 7 Using Roman Numerals for Triads - Roman Numeral labels allow us to identify any seventh chord within a given key. -
New Grade 7 LB 2016-2017.Indd
COURSE 35 Theory Homework 289 C Label a four-note, C chord arpeggio stacked in 3rds and a 4th. t inan ant n Term: bdom u Write the secondary chords. Tonic S Domi C Dm Em F G Am B C Dm Em Am B Numeral: I ___ ___ IV V ___ ___o ___ ii iii vi viio Sol-fa: do ___ ___ fa sol ___ ___ ___ ___ ___ ___ ___o Write the scale triads over the given note. Write in the missing terms: supertonic, mediant, submediant, leading tone and tonic. Write the missing numerals: ii iii vi vii I. Write the missing sol-fa: re mi la ti do. Theory Homework 290 D Label a four-note, Dm chord arpeggio stacked in 3rds and a 4th. Term: Write the secondary chords. onic T Subdominant Dominant G Am Bm C D Em F# G Am Bm Em F# Numeral: I ___ ___ IV V ___ ___o ___ ii iii vi viio Sol-fa: do ___ ___ fa sol ___ ___ ___ ___ ___ ___ ___o Write the scale triads over the given note. Write in the missing terms: supertonic, mediant, submediant, leading tone and tonic. Write the missing numerals: ii iii vi vii I. Write the missing sol-fa: re mi la ti do. Theory Homework 291 E Label a four-note, Em chord arpeggio stacked in 3rds and a 4th. nt ina om Term: ic ubd Write the secondary chords. Ton S Dominant Em F m Bm C D Em F# m G A Bm C# D # # Numeral: I ___ ___ IV V ___ ___o ___ ii iii vi viio Sol-fa: do ___ ___ fa sol ___ ___ ___ ___ ___ ___ ___o Write the scale triads over the given note. -
Identification and Analysis of Wes Montgomery's Solo Phrases Used in 'West Coast Blues'
Identification and analysis of Wes Montgomery's solo phrases used in ‘West Coast Blues ’ Joshua Hindmarsh A Thesis submitted in fulfillment of requirements for the degree of Masters of Music (Performance) Sydney Conservatorium of Music The University of Sydney 2016 Declaration I, Joshua Hindmarsh hereby declare that this submission is my own work and that it contains no material previously published or written by another person except for the co-authored publication submitted and where acknowledged in the text. This thesis contains no material that has been accepted for the award of a higher degree. Signed: Date: 4/4/2016 Acknowledgments I wish to extend my sincere gratitude to the following people for their support and guidance: Mr Phillip Slater, Mr Craig Scott, Prof. Anna Reid, Mr Steve Brien, and Dr Helen Mitchell. Special acknowledgement and thanks must go to Dr Lyle Croyle and Dr Clare Mariskind for their guidance and help with editing this research. I am humbled by the knowledge of such great minds and the grand ideas that have been shared with me, without which this thesis would never be possible. Abstract The thesis investigates Wes Montgomery's improvisational style, with the aim of uncovering the inner workings of Montgomery's improvisational process, specifically his sequencing and placement of musical elements on a phrase by phrase basis. The material chosen for this project is Montgomery's composition 'West Coast Blues' , a tune that employs 3/4 meter and a variety of chordal backgrounds and moving key centers, and which is historically regarded as a breakthrough recording for modern jazz guitar. -
Harmonic Vocabulary in the Music of John Adams: a Hierarchical Approach Author(S): Timothy A
Yale University Department of Music Harmonic Vocabulary in the Music of John Adams: A Hierarchical Approach Author(s): Timothy A. Johnson Source: Journal of Music Theory, Vol. 37, No. 1 (Spring, 1993), pp. 117-156 Published by: Duke University Press on behalf of the Yale University Department of Music Stable URL: http://www.jstor.org/stable/843946 Accessed: 06-07-2017 19:50 UTC 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]. Your use of the JSTOR archive indicates your acceptance of the Terms & Conditions of Use, available at http://about.jstor.org/terms Yale University Department of Music, Duke University Press are collaborating with JSTOR to digitize, preserve and extend access to Journal of Music Theory This content downloaded from 198.199.32.254 on Thu, 06 Jul 2017 19:50:30 UTC All use subject to http://about.jstor.org/terms HARMONIC VOCABULARY IN THE MUSIC OF JOHN ADAMS: A HIERARCHICAL APPROACH Timothy A. Johnson Overview Following the minimalist tradition, much of John Adams's' music consists of long passages employing a single set of pitch classes (pcs) usually encompassed by one diatonic set.2 In many of these passages the pcs form a single diatonic triad or seventh chord with no additional pcs. In other passages textural and registral formations imply a single triad or seventh chord, but additional pcs obscure this chord to some degree. -
The Strategic Half-Diminished Seventh Chord and the Emblematic Tristan Chord: a Survey from Beethoven to Berg
International Journal ofMusicology 4 . 1995 139 Mark DeVoto (Medford, Massachusetts) The Strategic Half-diminished Seventh Chord and The Emblematic Tristan Chord: A Survey from Beethoven to Berg Zusammenfassung: Der strategische halbverminderte Septakkord und der em blematische Tristan-Akkord von Beethoven bis Berg im Oberblick. Der halb verminderte Septakkord tauchte im 19. Jahrhundert als bedeutende eigen standige Hannonie und als Angelpunkt bei der chromatischen Modulation auf, bekam aber eine besondere symbolische Bedeutung durch seine Verwendung als Motiv in Wagners Tristan und Isolde. Seit der Premiere der Oper im Jahre 1865 lafit sich fast 100 Jahre lang die besondere Entfaltung des sogenannten Tristan-Akkords in dramatischen Werken veifolgen, die ihn als Emblem fUr Liebe und Tod verwenden. In Alban Bergs Lyrischer Suite und Lulu erreicht der Tristan-Akkord vielleicht seine hOchste emblematische Ausdruckskraft nach Wagner. If Wagner's Tristan und Isolde in general, and its Prelude in particular, have stood for more than a century as the defining work that liberated tonal chro maticism from its diatonic foundations of the century before it, then there is a particular focus within the entire chromatic conception that is so well known that it even has a name: the Tristan chord. This is the chord that occurs on the downbeat of the second measure of the opera. Considered enharmonically, tills chord is of course a familiar structure, described in many textbooks as a half diminished seventh chord. It is so called because it can be partitioned into a diminished triad and a minor triad; our example shows it in comparison with a minor seventh chord and an ordinary diminished seventh chord. -
Diminished 7Th (°7) Sounds (Part 1)
Diminished 7th (°7) Sounds (part 1) Ted Greene The Diminished 7th Scale 1978-05-25 There is more than one scale that sounds good over °7 chord types, but the most common is a scale that is derived by simply preceding each note in a diminished 7th arpeggio with a note one 1/2 step lower. For instance, the C °7 arpeggio contains the notes C, Eb, Gb, and A; if we start on C and precede each of these arpeggio notes with a note one 1/2 step lower, we get the following: 1 2 b3 4 b5 b6 6 7 8 This scale is commonly known as the C D Eb F Gb Ab A B C DIMINISHED SCALE. (Fingerings will be given soon). Notice that the intervals between successive notes in this scale proceed in alternating whole and 1/2 steps. For this reason, it is also known as the WHOLE-HALF SCALE. (The 1/2-whole scale will be discussed a little later, in case you’re curious.) The chord tones in this scale are: 1 b3 b5 6(bb7) 7 9 11 b13 (12) (4) (b6) There is a whole world of chords which this scale works over, but for now, in this volume, we will have to limit our discussion to the °7 chord and its most common extensions: The o7/9 (1, b3, b5, 6, 9), the °7maj7 (1, b3, b5, 7), and the °7maj9 (1, b3, b5, 7, 9). There are many beautiful runs and melodic patterns in this scale, in fact so many that one would have to write an abundance of pages on just this subject alone, in order to really do true justice to what is available. -
Scales and Arpeggios for Guitar by Mike Georgia
Scales and Arpeggios for Guitar By Mike Georgia To keep things simple approach it like this. 1. Everything is relative 2. The octave is divided into only 12 total notes 3. The corresponding shapes are about two octaves long 4. Use this as a reference. Take it little by little. 5. Learn solos and improvise over chord progressions to help you see and use the patterns. Everything will eventually sink in. Memorize the 12 intervals within the octave: Root, minor 2nd, major 2nd, minor 3rd, major 3rd, perfect 4th, tritone, perfect 5th, minor 6th, major 6th, minor 7th, major 7th, Octave And/Or Root, b2nd, 2nd, b3rd, 3rd, p4th, #4/b5, p5th, b6th, 6th, b7th, 7th, Octave Layout Across strings the notes either move “forward” up the neck, or back across the strings. When moving from string group to string group keep in mind: 1. Since the B string is tuned one fret different from the other strings. The notes on the B and E strings move up one fret relative to the other strings. 2. This changes the perceived shape of the pattern 3. It also makes it so that you can comfortably move some notes to a different string than on other string sets. b7 ^7 R p4 b 5 p5 b6 ^6 R b 2 ^2 b3 ^3 b7 ^7 R p4 b 5 p5 b6 ^6 R b 2 ^2 b3 ^3 b 7 ^7 R p4 b 5 p5 b6 ^6 R b 2 ^2 b3 ^3 ^6 b 7 ^7 R ^3 p4 b5 p5 b 6 R b 2 ^2 b3 Scales In general we can think of all scales as a derivative of the major scale. -
Half-Diminished Seventh Chord Arpeggios Arranged for Bassoon by Robert D
INFORMATION TO USERS This manuscript has been reproduced from the microfilm master. UMI films the text directly from the original or copy submitted. Thus, some thesis and dissertation copies are in typewriter face, while others may be from any type of computer printer. The quality of this reproduction is dependent upon the quality of the copy submitted. Broken or indistinct print, colored or poor quality illustrations and photographs, print bleedthrough, substandard margins, and improper alignment can adversely affect reproduction. In the unlikely event that the author did not send UMI a complete manuscript and there are missing pages, these will be noted. Also, if unauthorized copyright material had to be removed, a note will indicate the deletion. Oversize materials (e.g., maps, drawings, charts) are reproduced by sectioning the original, beginning at the upper left-hand comer and continuing from left to right in equal sections with small overlaps. Photographs included in the original manuscript have been reproduced xerographically in this copy. Higher quality 6" x 9" black and white photographic prints are available for any photographs or illustrations appearing in this copy for an additional charge. Contact UMI directly to order. ProQuest Information and Learning 300 North Zeeb Road, Ann Arbor, Ml 48106-1346 USA 800-521-0600 UMT NOTE TO USER Page(s) not included In the original manuscript are unavailable from the author or university. The manuscript was microfilmed as received. VI This Is reproduction Is the best copy available UMT SCALE, ARPEGGIO, AND INTERVAL STUDIES FOR THE BASSOON DOCUMENT Presented in Partial Fulfillment for the Degree of Doctor of Musical Arts Degree in the Graduate School of The Ohio State University By Robert D. -
Essential Single Octave Arpeggios
TERENCE WRIGHT GUITAR Jazz Guitarist - Music Educator - Composer http://terencewrightguitar.com Essential Single Octave Arpeggios In order to get the most out of single octave arpeggios on the guitar, it is important to understand why they are played the way they are. In a seventh chord, there are four unique notes: Root – third – fifth – seventh Depending on the type of seventh chord, the third, fifth and seventh may be altered. Keeping in mind that there are four notes in a given seventh chord and arpeggio, we can then take a look at the possible ways they can be played. This lesson will cover some of the more practical ways of performing seventh chord arpeggios. Due to playability and sound, seventh chord arpeggios played over three strings are far more widely used than others. This lesson will go into detail about the three ways to perform single octave arpeggios over three strings. If you are curious about lesser known seventh chord arpeggio approaches, such as arpeggios played over 1, 2 or 4 strings, check out the Approaches to Arpeggios page in the Jazz Guitar Resource Library. First lets take a look at the different options for playing arpeggios over three strings: 2-1-1 Arpeggio - The 2-1-1 stands for the distribution of notes across the guitar. The 2 means that you will be playing 2 notes on the string that the given arpeggio begins on, followed by 1 note on the next highest string, and 1 note on the next highest string after that. 1-2-1 Arpeggio - The numbers here represent the same idea as the previous arpeggio, but the distribution is slightly different. -
131 with G in the Bass, Shown Below in Example 4.9. As with the G Minor
with G in the bass, shown below in Example 4.9. As with the G minor that never arrived, C minor would have been closely related to the home key. This time, however, it would have been as its submediant instead of its mediant. Finally, landing on C minor instead of C major would have avoided the enharmonic paradox on pitch-class 4. Beginning of B section mm. 32 – 33 c: VI V11 I C minor anticipated C major arrives (A¼ and E¼) Example 4.9 Poulenc, Piano Concerto, second movement, first part of B section, mm. 32–33, anticipation of the minor mode and unexpected arrival of C major The primary key areas of this first part of the B section, C major, E major, and A¼ major, are summarized in Example 4.10. The keys tonicized for a shorter duration, shown as quarter notes, are included to show relationships with the main keys. Justification for relating C major back to G major, instead of giving it its own major- minor complex, will be given below. 131 B section (part 1): Mm. 33 35 37 40 45 46 transition first theme 1 2 E¼/e¼: (key of IV or iv……………..........) G/g: IV A¼/a¼: ii i VI i I Example 4.10 Poulenc, Piano Concerto, second movement, key relations in the first part of the B section Parallel modes and the chromatic mediants they support thwart expectations and emerge as the main point of tension for the entire movement. The second half of the B section has the loudest dynamics in the movement thus far, with fortissimo and fortississimo entrances of the theme, double-dotted rhythms, flights into the high registers in the solo part, and frequent harmonic moves to remote keys. -
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. -
Chord Studies
Chord Studies 374 Chords, including: Triads Sixths Sevenths Ninths Chord Adjustments in Just Intonation Triads Sixths Sevenths Intervals and their Derivations from Equal Temperament Edited by Nikk Pilato Triads Triads are three-note chords that can be stacked in thirds (therefore, a chord such as C-F-G is not technically a triad, but rather a trichord). The three components of a triad are the root, the third, and the fifth. There are four types of triads: • Major (M3 + m3, ex: C-E-G) ! Can be expressed as C, CM, or C! • Minor (m3 + M3, ex: C-E!-G) ! Can be expressed as Cm, or C- • Diminished (m3 + m3, ex: C-E!-G!) ! Can be expressed C " • Augmented (M3 + M3m ex: C-E-G") ! Can be expressed C+ Sixth Chords A sixth chord can also be interpreted as a minor seventh chord in first inversion. Whether it should be regarded as a sixth or a minor seventh will depend on its harmonic function and context in the music. In modern music, a sixth chord is any triad with an added sixth above the root. • Major Sixth (major triad + a M6, ex: C-E-G-A) • Minor Sixth (minor Triad + a M6, ex: C-E!-G-A) There are also “special” sixth chords, such as: • Neapolitan Sixth: First inversion chord of a major triad built on the flat second (ex: In C Major, this would be F-A!-D!, where D! would be the flat second, and F the first inversion). It is notated !II6 or N6. • Augmented Sixth: Instead of a M6, these chords have an augmented sixth present along with a major third.