Music Theory Bootcamp
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Riemann's Functional Framework for Extended Jazz Harmony James
Riemann’s Functional Framework for Extended Jazz Harmony James McGowan The I or tonic chord is the only chord which gives the feeling of complete rest or relaxation. Since the I chord acts as the point of rest there is generated in the other chords a feeling of tension or restlessness. The other chords therefore must 1 eventually return to the tonic chord if a feeling of relaxation is desired. Invoking several musical metaphors, Ricigliano’s comment could apply equally well to the tension and release of any tonal music, not only jazz. Indeed, such metaphors serve as essential points of departure for some extended treatises in music theory.2 Andrew Jaffe further associates “tonic,” “stability,” and “consonance,” when he states: “Two terms used to refer to the extremes of harmonic stability and instability within an individual chord or a chord progression are dissonance and consonance.”3 One should acknowledge, however, that to the non-jazz reader, reference to “tonic chord” implicitly means triad. This is not the case for Ricigliano, Jaffe, or numerous other writers of pedagogical jazz theory.4 Rather, in complete indifference to, ignorance of, or reaction against the common-practice principle that only triads or 1 Ricigliano 1967, 21. 2 A prime example, Berry applies the metaphor of “motion” to explore “Formal processes and element-actions of growth and decline” within different musical domains, in diverse stylistic contexts. Berry 1976, 6 (also see 111–2). An important precedent for Berry’s work in the metaphoric dynamism of harmony and other parameters is found in the writings of Kurth – particularly in his conceptions of “sensuous” and “energetic” harmony. -
How to Navigate Chord Changes by Austin Vickrey (Masterclass for Clearwater Jazz Holiday Master Sessions 4/22/21) Overview
How to Navigate Chord Changes By Austin Vickrey (Masterclass for Clearwater Jazz Holiday Master Sessions 4/22/21) Overview • What are chord changes? • Chord basics: Construction, types/qualities • Chords & Scales and how they work together • Learning your chords • Approaches to improvising over chords • Arpeggios, scales, chord tones, guide tones, connecting notes, resolutions • Thinking outside the box: techniques and exercises to enhance and “spice up” your improvisation over chords What are “chord changes?” • The series of musical chords that make up the harmony to support the melody of a song or part of a song (solo section). • The word “changes” refers to the chord “progression,” the original term. In the jazz world, we call them changes because they typically change chord quality from one chord to the next as the song is played. (We will discuss what I mean by “quality” later.) • Most chord progressions in songs tend to repeat the series over and over for improvisors to play solos and melodies. • Chord changes in jazz can be any length. Most tunes we solo over have a form with a certain number of measures (8, 12, 16, 24, 32, etc.). What makes up a chord? • A “chord" is defined as three or more musical pitches (notes) sounding at the same time. • The sonority of a chord depends on how these pitches are specifically arranged or “stacked.” • Consonant chords - chords that sound “pleasing” to the ear • Dissonant chords - chords that do not sound “pleasing” to the ear Basic Common Chord Types • Triad - 3 note chord arranged in thirds • Lowest note - Root, middle note - 3rd, highest note - 5th. -
MUSIC THEORY UNIT 5: TRIADS Intervallic Structure of Triads
MUSIC THEORY UNIT 5: TRIADS Intervallic structure of Triads Another name of an interval is a “dyad” (two pitches). If two successive intervals (3 notes) happen simultaneously, we now have what is referred to as a chord or a “triad” (three pitches) Major and Minor Triads A Major triad consists of a M3 and a P5 interval from the root. A minor triad consists of a m3 and a P5 interval from the root. Diminished and Augmented Triads A diminished triad consists of a m3 and a dim 5th interval from the root. An augmented triad consists of a M3 and an Aug 5th interval from the root. The augmented triad has a major third interval and an augmented fifth interval from the root. An augmented triad differs from a major triad because the “5th” interval is a half-step higher than it is in the major triad. The diminished triad differs from minor triad because the “5th” interval is a half-step lower than it is in the minor triad. Recommended process: 1. Memorize your Perfect 5th intervals from most root pitches (ex. A-E, B-F#, C-G, D-A, etc…) 2. Know that a Major 3rd interval is two whole steps from a root pitch If you can identify a M3 and P5 from a root, you will be able to correctly spell your Major Triads. 3. If you need to know a minor triad, adjust the 3rd of the major triad down a half step to make it minor. 4. If you need to know an Augmented triad, adjust the 5th of the chord up a half step from the MAJOR triad. -
Accelerated Piano Technique and Music Theory Ii Course Syllabus
ACCELERATED PIANO TECHNIQUE AND MUSIC THEORY II COURSE SYLLABUS Course: Accelerated Piano Technique and Music Theory II Credit: One Carnegie Unit Course Description Accelerated Piano Technique and Music Theory II is required for graduation as a vocal music major. It is for students who have completed the requirements of Accelerated Piano Technique and Music Theory I and completes the prerequisite for all other theory classes. It satisfies the Piano Lab II requirement for vocal majors and the Music Theory II requirement for both vocal and instrumental majors. This course covers the rudiments of music theory and emphasizes basic musicianship skills in the areas of sight singing, ear training, and dictation. Basic piano fundamentals are explored: familiarization with keyboard theory, hand coordination, grand staff note reading, and an introduction to the standard intermediate piano literature. Content Standards DCPS music content standards make up the core skills, concepts and knowledge for Music Theory II: 1. Perform a variety of repertoire. 2. Improvise, compose, and arrange. 3. Read and notate music. 4. Listen, analyze, and evaluate. These standards are incorporated in the course outline below. Course Outline 1. Perform all tasks covered in Accelerated Piano Technique and Music Theory I, with emphasis on reading and writing fluently in treble and bass clefs including identification, notation, reading and writing of all leger line notes above and below the staff. 2. Identify and write all major and minor key signatures; explain and construct a diagram of the circle of fifths. 3. Identify on the page and by ear, sing*, write, and play on the piano keyboard: a. -
Promtional Sample Pages
The Fundamental Triad System A chord-first approach to jazz theory and practice Pete Pancrazi Copyright © 2014 by Pete Pancrazi All Rights Reserved www.petepancrazi.com Table of Contents Introduction .......................................................................................................5 Chapter 1 The Simple Intervals .............................................................6 Chapter 2 The Major Keys .......................................................................13 Chapter 3 The Fundamental Triads .....................................................19 Chapter 4 Triads of the Major Scale .................................................... 27 Chapter 5 Extending the Triads with a 7th or 6th ........................... 32 Chapter 6 Extending the Triads of the Major Scale ...................... 39 Chapter 7 The 12-Bar Blues ...................................................................43 Chapter 8 Voice Leading ...........................................................................45 Chapter 9 Song Melody and the Blueprint .......................................51 Chapter 10 The Major II-V-I Progression ............................................54 Chapter 11 Compound Intervals .............................................................64 Chapter 12 Extending a Chord with a 9th, 11th or 13th ................68 Chapter 13 Modes or the Major Scale...................................................74 Chapter 14 Auxiliary Notes ........................................................................ 87 -
Music in Theory and Practice
CHAPTER 4 Chords Harmony Primary Triads Roman Numerals TOPICS Chord Triad Position Simple Position Triad Root Position Third Inversion Tertian First Inversion Realization Root Second Inversion Macro Analysis Major Triad Seventh Chords Circle Progression Minor Triad Organum Leading-Tone Progression Diminished Triad Figured Bass Lead Sheet or Fake Sheet Augmented Triad IMPORTANT In the previous chapter, pairs of pitches were assigned specifi c names for identifi cation CONCEPTS purposes. The phenomenon of tones sounding simultaneously frequently includes group- ings of three, four, or more pitches. As with intervals, identifi cation names are assigned to larger tone groupings with specifi c symbols. Harmony is the musical result of tones sounding together. Whereas melody implies the Harmony linear or horizontal aspect of music, harmony refers to the vertical dimension of music. A chord is a harmonic unit with at least three different tones sounding simultaneously. Chord The term includes all possible such sonorities. Figure 4.1 #w w w w w bw & w w w bww w ww w w w w w w w‹ Strictly speaking, a triad is any three-tone chord. However, since western European music Triad of the seventeenth through the nineteenth centuries is tertian (chords containing a super- position of harmonic thirds), the term has come to be limited to a three-note chord built in superposed thirds. The term root refers to the note on which a triad is built. “C major triad” refers to a major Triad Root triad whose root is C. The root is the pitch from which a triad is generated. 73 3711_ben01877_Ch04pp73-94.indd 73 4/10/08 3:58:19 PM Four types of triads are in common use. -
Harmonic Expectation in Twelve-Bar Blues Progressions Bryn Hughes
Florida State University Libraries Electronic Theses, Treatises and Dissertations The Graduate School 2011 Harmonic Expectation in Twelve-Bar Blues Progressions Bryn Hughes Follow this and additional works at the FSU Digital Library. For more information, please contact [email protected] THE FLORIDA STATE UNIVERSITY COLLEGE OF MUSIC HARMONIC EXPECTATION IN TWELVE-BAR BLUES PROGRESSIONS By BRYN HUGHES A dissertation submitted to the College of Music in partial fulfillment of the requirements for the degree of Doctor of Philosophy Degree Awarded: Summer Semester, 2011 The members of the committee approve the dissertation of Bryn Hughes defended on July 1, 2011. ___________________________________ Nancy Rogers Professor Directing Dissertation ___________________________________ Denise Von Glahn University Representative ___________________________________ Matthew Shaftel Committee Member ___________________________________ Clifton Callender Committee Member Approved: _____________________________________ Evan Jones, Chair, Department of Music Theory and Composition _____________________________________ Don Gibson, Dean, College of Music The Graduate School has verified and approved the above-named committee members. ii To my father, Robert David Moyse, for teaching me about the blues, and to the love of my life, Jillian Bracken. Thanks for believing in me. iii ACKNOWLEDGEMENTS Before thanking anyone in particular, I would like to express my praise for the Florida State University music theory program. The students and faculty provided me with the perfect combination of guidance, enthusiasm, and support to allow me to succeed. My outlook on the field of music theory and on academic life in general was profoundly shaped by my time as a student at FSU. I would like to express my thanks to Richard Parks and Catherine Nolan, both of whom I studied under during my time as a student at the University of Western Ontario and inspired and motivated me to make music theory a career. -
Level 3 Scale Reference Sheet MP: 4 Scales – 2 Major and 2 Harmonic Minor
Level 3 Scale Reference Sheet MP: 4 scales – 2 major and 2 harmonic minor 1. Play Scale (As tetrachord or one octave, hands separate or together) 2. Play I and V chords (of the scale you just played) (Hands separate or together) 3. Play chord progression (of the scale you just played): (or I-V-I) (Hands separate or together) 4. Play arpeggio (of the scale you just played): 5. Applied Theory - Intervals: Play 2nd, 3rd, 4th, 5th, 6th in the keys of prepared scales up from tonic only, using appropriate black keys www.wendyspianostudio.com 76 Level 3 SCALE CHECKLIST C Major a minor G Major e minor D Major b minor A Major f# minor # E Major c minor # B Major g minor Gb Major eb minor Db Major bb minor Ab Major f minor Eb Major c minor b B Major g minor F Major d minor 77 Level 4 Scale Reference Sheet MP: 4 keys – 2 major and 2 minor (natural and harmonic minor forms) 1. Play Scale (One octave, hands separate or together) 2. Play Primary Chords in Root position (for the scale you just played), hands separate or together. For minor keys, use harmonic form. 3. Play inversions of the tonic triad up and down, hands separate or together: 4. Play chord Progression: (or I-IV-I-V-I) hands separate or together. In minor keys, use harmonic form. 5. Play 1 handed arpeggio: www.wendyspianostudio.com 78 Level Four, continued 6. Theory - Intervals: Play 2nd, 3rd, 4th, 5th, 6th, 7th, and octave, in the keys of prepared scales, up only, beginning on any pitch in the scale. -
Syllabus Spring, 2020 Music 321 Elementary Piano 1 Section 13137 Lecture 13156 Lab Tuesdays 6:50-10:00 PM
Syllabus Spring, 2020 Music 321 Elementary Piano 1 Section 13137 Lecture 13156 Lab Tuesdays 6:50-10:00 PM Instructor: Ms. Claire Rydell E Mail: Ask questions and report absences: [email protected] Subject: Piano Class Office Hours: Tuesdays 6:15-6:50 PM Room M100 Textbooks: 1) Bastien Piano for Adults Book 1 (you do not need the CD’s), KJOS KP 1B ISBN 0-8497-7302-4. (about $15.95) 2) Rydell Music 321 Scales, Chords & Materials for Learning (about $15) AVAILABLE ONLY AT THE BOOKSTORE Ask for the coursebook at the cash register if it is not on the shelf. Get the books today. You MUST have the books at the next class. Other music stores include: Baxter Northrup 14534 Ventura Blvd 818-788-7510 Keyboard Concepts 5539 Van Nuys Blvd 818-787-0201 Sam Ash Music 20934 Roscoe Blvd 818-709-5650 Bring a pencil & eraser to class to write in your books. Write fingerings and counting in your music to help you play well. Please bring your own headset to class and a mini jack adapter that converts 1/8” to 1/4”inches (3.5 mm to 6.5 mm.) You need to have a metronome: you can download an app like MetroTimer. Student Learning Outcome: SLO #1: Student will be able to play beginning level piano technique, including one-octave scales and primary triad chord progressions in the following keys: C, G, D, A, and E Majors. SLO # 2: Student will be able to play beginning level piano repertoire. Course Objectives: Upon successful completion of the course, students will demonstrate skill in basic piano playing including correct posture and hand position, independence of fingers, locating notes on the keyboard in treble and bass clefs, understanding and performing basic rhythms and learning efficient methods for practicing. -
Accelerated Piano Technique and Music Theory Ii) Course Syllabus
PIANO LAB II (ACCELERATED PIANO TECHNIQUE AND MUSIC THEORY II) COURSE SYLLABUS Course: Piano Lab II Credit: One Carnegie Unit Course Description Piano Lab II is required for graduation as a vocal music major. It is for students who have completed the requirements of Accelerated Piano Technique and Music Theory I and completes the prerequisite for all other theory classes. It satisfies the Piano Lab II requirement for vocal majors and the Music Theory II requirement for both vocal and instrumental majors. This course covers the rudiments of music theory and emphasizes basic musicianship skills in the areas of sight singing, ear training, and dictation. Basic piano fundamentals are explored: familiarization with keyboard theory, hand coordination, grand staff note reading, and an introduction to the standard intermediate piano literature. Content Standards DCPS music content standards make up the core skills, concepts and knowledge for Music Theory II: 1. Perform a variety of repertoire. 2. Improvise, compose, and arrange. 3. Read and notate music. 4. Listen, analyze, and evaluate. These standards are incorporated in the course outline below. Course Outline 1. Perform all tasks covered in Accelerated Piano Technique and Music Theory I, with emphasis on reading and writing fluently in treble and bass clefs. 2. Identify and write all major and minor key signatures; explain and construct a diagram of the circle of fifths. 3. Identify on the page and by ear, sing*, write, and play on the piano keyboard: a. Major and natural, harmonic, and melodic minor scales and tonic triads in keys to four sharps and flats using accidentals as well as key signatures b. -
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. -
A Markov Chain Interpretation of Some Arpeggios in Beethoven's Moonlight Sonata, 1St Movement
A Markov Chain Interpretation of some Arpeggios in Beethoven’s Moonlight Sonata, 1st Movement Hisashi Kobayashi1 May 20, 2019 Abstract: We present a Markov chain interpretation of some arpeggios in the first movement of Beethoven’s Moonlight Sonata, which is composed in a ternary form, i.e., A-B-A’ form. In Section II, we analyze the arpeggios of Part A. Expert pianists may wish to skip this section. Our analysis, however, should have a pedagogic value to novice pianists, including this author, in helping them identify the chords and memorize this famous sonata more easily. In Section III, we propose to apply a Markov chain representations of the main arpeggios in section B. We show that the passages of the 32nd through 37th measures, which are arpeggiated from D# diminished 7th, C# minor, C# diminished 7th, and F# diminished 7th chords, respectively, can be concisely presented in terms of “state transition diagrams,” often used for analysis of a Markov chain in probability theory [4]. This representation leads to simple algorithmic descriptions of the arpeggios. Perhaps this simplicity is a key to the beauty of this part of the sonata. In Section IV, we present harmonic analysis for Part A’. Although there are a few entirely new passages, a large portion of Part A’ is a recapitulation of the passages of Part A, either as straightforward repetitions or in transposed forms. We hope that our chord analysis will be of some value to mathematically inclined pianists, and that the transition diagram representation will provoke interest among music theorists, possibly as a new tool to augment such existing tools as the Schenkerian graph and notation [5,6,7].