The Augmented Sixth Chord
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Common Jazz Chord Symbols Here I Use the More Explicit Abbreviation 'Maj7' for Major Seventh
Common jazz chord symbols Here I use the more explicit abbreviation 'maj7' for major seventh. Other common abbreviations include: C² C²7 CMA7 and CM7. Here I use the abbreviation 'm7' for minor seventh. Other common abbreviations include: C- C-7 Cmi7 and Cmin7. The variations given for Major 6th, Major 7th, Dominant 7th, basic altered dominant and minor 7th chords in the first five systems are essentially interchangeable, in other words, the 'color tones' shown added to these chords (9 and 13 on major and dominant seventh chords, 9, 13 and 11 on minor seventh chords) are commonly added even when not included in a chord symbol. For example, a chord notated Cmaj7 is often played with an added 6th and/or 9th, etc. Note that the 11th is not one of the basic color tones added to major and dominant 7th chords. Only #11 is added to these chords, which implies a different scale (lydian rather than major on maj7, lydian dominant rather than the 'seventh scale' on dominant 7th chords.) Although color tones above the seventh are sometimes added to the m7b5 chord, this chord is shown here without color tones, as it is often played without them, especially when a more basic approach is being taken to the minor ii-V-I. Note that the abbreviations Cmaj9, Cmaj13, C9, C13, Cm9 and Cm13 imply that the seventh is included. Major triad Major 6th chords C C6 C% w ww & w w w Major 7th chords (basic structure: root, 3rd, 5th and 7th of root's major scale) 4 CŒ„Š7 CŒ„Š9 CŒ„Š13 w w w w & w w w Dominant seventh chords (basic structure: root, 3rd, 5th and b7 of root's major scale) 7 C7 C9 C13 w bw bw bw & w w w basic altered dominant 7th chords 10 C7(b9) C7(#5) (aka C7+5 or C+7) C7[äÁ] bbw bw b bw & w # w # w Minor 7 flat 5, aka 'half diminished' fully diminished Minor seventh chords (root, b3, b5, b7). -
Naming a Chord Once You Know the Common Names of the Intervals, the Naming of Chords Is a Little Less Daunting
Naming a Chord Once you know the common names of the intervals, the naming of chords is a little less daunting. Still, there are a few conventions and short-hand terms that many musicians use, that may be confusing at times. A few terms are used throughout the maze of chord names, and it is good to know what they refer to: Major / Minor – a “minor” note is one half step below the “major.” When naming intervals, all but the “perfect” intervals (1,4, 5, 8) are either major or minor. Generally if neither word is used, major is assumed, unless the situation is obvious. However, when used in naming extended chords, the word “minor” usually is reserved to indicate that the third of the triad is flatted. The word “major” is reserved to designate the major seventh interval as opposed to the minor or dominant seventh. It is assumed that the third is major, unless the word “minor” is said, right after the letter name of the chord. Similarly, in a seventh chord, the seventh interval is assumed to be a minor seventh (aka “dominant seventh), unless the word “major” comes right before the word “seventh.” Thus a common “C7” would mean a C major triad with a dominant seventh (CEGBb) While a “Cmaj7” (or CM7) would mean a C major triad with the major seventh interval added (CEGB), And a “Cmin7” (or Cm7) would mean a C minor triad with a dominant seventh interval added (CEbGBb) The dissonant “Cm(M7)” – “C minor major seventh” is fairly uncommon outside of modern jazz: it would mean a C minor triad with the major seventh interval added (CEbGB) Suspended – To suspend a note would mean to raise it up a half step. -
The 17-Tone Puzzle — and the Neo-Medieval Key That Unlocks It
The 17-tone Puzzle — And the Neo-medieval Key That Unlocks It by George Secor A Grave Misunderstanding The 17 division of the octave has to be one of the most misunderstood alternative tuning systems available to the microtonal experimenter. In comparison with divisions such as 19, 22, and 31, it has two major advantages: not only are its fifths better in tune, but it is also more manageable, considering its very reasonable number of tones per octave. A third advantage becomes apparent immediately upon hearing diatonic melodies played in it, one note at a time: 17 is wonderful for melody, outshining both the twelve-tone equal temperament (12-ET) and the Pythagorean tuning in this respect. The most serious problem becomes apparent when we discover that diatonic harmony in this system sounds highly dissonant, considerably more so than is the case with either 12-ET or the Pythagorean tuning, on which we were hoping to improve. Without any further thought, most experimenters thus consign the 17-tone system to the discard pile, confident in the knowledge that there are, after all, much better alternatives available. My own thinking about 17 started in exactly this way. In 1976, having been a microtonal experimenter for thirteen years, I went on record, dismissing 17-ET in only a couple of sentences: The 17-tone equal temperament is of questionable harmonic utility. If you try it, I doubt you’ll stay with it for long.1 Since that time I have become aware of some things which have caused me to change my opinion completely. -
To View a Few Sample Pages of 30 Days to Better Jazz Guitar Comping
You will also find that you sometimes need to make big jumps across the neck to keep bass lines going. Keeping a solid bass line is more important than smooth voice leading. For example it’s more important to keep a bass line constantly going using simple chords rather than trying to find the hippest chords you know Day 24: Comping with Bass Lines After learning how to use a bass line with chords in the bossa nova, today’s lesson is about how to comp with bass lines in a more traditional jazz setting. Background on Comping with Bass Lines An essential comping technique that every guitarist learns at some point is to comp with bass lines. The two most important ingredients to this comping style are the feel and the bass line. As Joe Pass says “A good bass line must be able to stand by itself”, meaning that you add the chords where you can. Like many other subjects in this book, bass lines could fill up an entire book of their own, but this section will teach you the fundamental principles such as how to construct a bass line and apply it over the ii-V-I progression. What Chords Should I Use? As with bossa nova comping, it’s best to use simple voicings that are easy to grab to keep the bass line flowing as smoothly as possible. The chord diagram below shows the chords that are going to be used, notice that these are all simple inversions with no extensions, but they give the ear enough information to recognize the chord type and have roots on the bottom two strings. -
A. Types of Chords in Tonal Music
1 Kristen Masada and Razvan Bunescu: A Segmental CRF Model for Chord Recognition in Symbolic Music A. Types of Chords in Tonal Music minished triads most frequently contain a diminished A chord is a group of notes that form a cohesive har- seventh interval (9 half steps), producing a fully di- monic unit to the listener when sounding simulta- minished seventh chord, or a minor seventh interval, neously (Aldwell et al., 2011). We design our sys- creating a half-diminished seventh chord. tem to handle the following types of chords: triads, augmented 6th chords, suspended chords, and power A.2 Augmented 6th Chords chords. An augmented 6th chord is a type of chromatic chord defined by an augmented sixth interval between the A.1 Triads lowest and highest notes of the chord (Aldwell et al., A triad is the prototypical instance of a chord. It is 2011). The three most common types of augmented based on a root note, which forms the lowest note of a 6th chords are Italian, German, and French sixth chord in standard position. A third and a fifth are then chords, as shown in Figure 8 in the key of A minor. built on top of this root to create a three-note chord. In- In a minor scale, Italian sixth chords can be seen as verted triads also exist, where the third or fifth instead iv chords with a sharpened root, in the first inversion. appears as the lowest note. The chord labels used in Thus, they can be created by stacking the sixth, first, our system do not distinguish among inversions of the and sharpened fourth scale degrees. -
Day 17 AP Music Handout, Scale Degress.Mus
Scale Degrees, Chord Quality, & Roman Numeral Analysis There are a total of seven scale degrees in both major and minor scales. Each of these degrees has a name which you are required to memorize tonight. 1 2 3 4 5 6 7 1 & w w w w w 1. tonicw 2.w supertonic 3.w mediant 4. subdominant 5. dominant 6. submediant 7. leading tone 1. tonic A triad can be built upon each scale degree. w w w w & w w w w w w w w 1. tonicw 2.w supertonic 3.w mediant 4. subdominant 5. dominant 6. submediant 7. leading tone 1. tonic The quality and scale degree of the triads is shown by Roman numerals. Captial numerals are used to indicate major triads with lowercase numerals used to show minor triads. Diminished triads are lowercase with a "degree" ( °) symbol following and augmented triads are capital followed by a "plus" ( +) symbol. Roman numerals written for a major key look as follows: w w w w & w w w w w w w w CM: wI (M) iiw (m) wiii (m) IV (M) V (M) vi (m) vii° (dim) I (M) EVERY MAJOR KEY FOLLOWS THE PATTERN ABOVE FOR ITS ROMAN NUMERALS! Because the seventh scale degree in a natural minor scale is a whole step below tonic instead of a half step, the name is changed to subtonic, rather than leading tone. Leading tone ALWAYS indicates a half step below tonic. Notice the change in the qualities and therefore Roman numerals when in the natural minor scale. -
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. -
The Devil's Interval by Jerry Tachoir
Sound Enhanced Hear the music example in the Members Only section of the PAS Web site at www.pas.org The Devil’s Interval BY JERRY TACHOIR he natural progression from consonance to dissonance and ii7 chords. In other words, Dm7 to G7 can now be A-flat m7 to resolution helps make music interesting and satisfying. G7, and both can resolve to either a C or a G-flat. Using the TMusic would be extremely bland without the use of disso- other dominant chord, D-flat (with the basic ii7 to V7 of A-flat nance. Imagine a world of parallel thirds and sixths and no dis- m7 to D-flat 7), we can substitute the other relative ii7 chord, sonance/resolution. creating the progression Dm7 to D-flat 7 which, again, can re- The prime interval requiring resolution is the tritone—an solve to either a C or a G-flat. augmented 4th or diminished 5th. Known in the early church Here are all the possibilities (Note: enharmonic spellings as the “Devil’s interval,” tritones were actually prohibited in of- were used to simplify the spelling of some chords—e.g., B in- ficial church music. Imagine Bach’s struggle to take music stead of C-flat): through its normal progression of tonic, subdominant, domi- nant, and back to tonic without the use of this interval. Dm7 G7 C Dm7 G7 Gb The tritone is the characteristic interval of all dominant bw chords, created by the “guide tones,” or the 3rd and 7th. The 4 ˙ ˙ w ˙ ˙ tritone interval can be resolved in two types of contrary motion: &4˙ ˙ w ˙ ˙ bbw one in which both notes move in by half steps, and one in which ˙ ˙ w ˙ ˙ b w both notes move out by half steps. -
Major and Minor Scales Half and Whole Steps
Dr. Barbara Murphy University of Tennessee School of Music MAJOR AND MINOR SCALES HALF AND WHOLE STEPS: half-step - two keys (and therefore notes/pitches) that are adjacent on the piano keyboard whole-step - two keys (and therefore notes/pitches) that have another key in between chromatic half-step -- a half step written as two of the same note with different accidentals (e.g., F-F#) diatonic half-step -- a half step that uses two different note names (e.g., F#-G) chromatic half step diatonic half step SCALES: A scale is a stepwise arrangement of notes/pitches contained within an octave. Major and minor scales contain seven notes or scale degrees. A scale degree is designated by an Arabic numeral with a cap (^) which indicate the position of the note within the scale. Each scale degree has a name and solfege syllable: SCALE DEGREE NAME SOLFEGE 1 tonic do 2 supertonic re 3 mediant mi 4 subdominant fa 5 dominant sol 6 submediant la 7 leading tone ti MAJOR SCALES: A major scale is a scale that has half steps (H) between scale degrees 3-4 and 7-8 and whole steps between all other pairs of notes. 1 2 3 4 5 6 7 8 W W H W W W H TETRACHORDS: A tetrachord is a group of four notes in a scale. There are two tetrachords in the major scale, each with the same order half- and whole-steps (W-W-H). Therefore, a tetrachord consisting of W-W-H can be the top tetrachord or the bottom tetrachord of a major scale. -
Brain Tumors : Practical Guide to Diagnosis and Treatment
Brain Tumors DK616x_C000a.indd 1 09/01/2006 8:49:40 AM NEUROLOGICAL DISEASE AND THERAPY Advisory Board Gordon H. Baltuch, M.D., Ph.D. Department of Neurosurgery University of Pennsylvania Philadelphia, Pennsylvania, U.S.A. Cheryl Bushnell, M.D., M.H.S. Duke Center for Cerebrovascular Disease Department of Medicine, Division of Neurology Duke University Medical Center Durham, North Carolina, U.S.A. Louis R. Caplan, M.D. Professor of Neurology Harvard University School of Medicine Beth Israel Deaconess Medical Center Boston, Massachusetts, U.S.A. Mark A. Stacy, M.D. Movement Disorders Center Duke University Medical Center Durham, North Carolina, U.S.A. Mark H. Tuszynski, M.D., Ph.D. Professor of Neurosciences Director, Center for Neural Repair University of California—San Diego La Jolla, California, U.S.A. DK616x_C000a.indd 2 09/01/2006 8:49:43 AM 1. Handbook of Parkinson’s Disease, edited by William C. Koller 2. Medical Therapy of Acute Stroke, edited by Mark Fisher 3. Familial Alzheimer’s Disease: Molecular Genetics and Clinical Perspectives, edited by Gary D. Miner, Ralph W. Richter, John P. Blass, Jimmie L. Valentine, and Linda A. Winters-Miner 4. Alzheimer’s Disease: Treatment and Long-Term Management, edited by Jeffrey L. Cummings and Bruce L. Miller 5. Therapy of Parkinson’s Disease, edited by William C. Koller and George Paulson 6. Handbook of Sleep Disorders, edited by Michael J. Thorpy 7. Epilepsy and Sudden Death, edited by Claire M. Lathers and Paul L. Schraeder 8. Handbook of Multiple Sclerosis, edited by Stuart D. Cook 9. Memory Disorders: Research and Clinical Practice, edited by Takehiko Yanagihara and Ronald C. -
When the Leading Tone Doesn't Lead: Musical Qualia in Context
When the Leading Tone Doesn't Lead: Musical Qualia in Context Dissertation Presented in Partial Fulfillment of the Requirements for the Degree Doctor of Philosophy in the Graduate School of The Ohio State University By Claire Arthur, B.Mus., M.A. Graduate Program in Music The Ohio State University 2016 Dissertation Committee: David Huron, Advisor David Clampitt Anna Gawboy c Copyright by Claire Arthur 2016 Abstract An empirical investigation is made of musical qualia in context. Specifically, scale-degree qualia are evaluated in relation to a local harmonic context, and rhythm qualia are evaluated in relation to a metrical context. After reviewing some of the philosophical background on qualia, and briefly reviewing some theories of musical qualia, three studies are presented. The first builds on Huron's (2006) theory of statistical or implicit learning and melodic probability as significant contributors to musical qualia. Prior statistical models of melodic expectation have focused on the distribution of pitches in melodies, or on their first-order likelihoods as predictors of melodic continuation. Since most Western music is non-monophonic, this first study investigates whether melodic probabilities are altered when the underlying harmonic accompaniment is taken into consideration. This project was carried out by building and analyzing a corpus of classical music containing harmonic analyses. Analysis of the data found that harmony was a significant predictor of scale-degree continuation. In addition, two experiments were carried out to test the perceptual effects of context on musical qualia. In the first experiment participants rated the perceived qualia of individual scale-degrees following various common four-chord progressions that each ended with a different harmony. -
The Perceptual Attraction of Pre-Dominant Chords 1
Running Head: THE PERCEPTUAL ATTRACTION OF PRE-DOMINANT CHORDS 1 The Perceptual Attraction of Pre-Dominant Chords Jenine Brown1, Daphne Tan2, David John Baker3 1Peabody Institute of The Johns Hopkins University 2University of Toronto 3Goldsmiths, University of London [ACCEPTED AT MUSIC PERCEPTION IN APRIL 2021] Author Note Jenine Brown, Department of Music Theory, Peabody Institute of the Johns Hopkins University, Baltimore, MD, USA; Daphne Tan, Faculty of Music, University of Toronto, Toronto, ON, Canada; David John Baker, Department of Computing, Goldsmiths, University of London, London, United Kingdom. Corresponding Author: Jenine Brown, Peabody Institute of The John Hopkins University, 1 E. Mt. Vernon Pl., Baltimore, MD, 21202, [email protected] 1 THE PERCEPTUAL ATTRACTION OF PRE-DOMINANT CHORDS 2 Abstract Among the three primary tonal functions described in modern theory textbooks, the pre-dominant has the highest number of representative chords. We posit that one unifying feature of the pre-dominant function is its attraction to V, and the experiment reported here investigates factors that may contribute to this perception. Participants were junior/senior music majors, freshman music majors, and people from the general population recruited on Prolific.co. In each trial four Shepard-tone sounds in the key of C were presented: 1) the tonic note, 2) one of 31 different chords, 3) the dominant triad, and 4) the tonic note. Participants rated the strength of attraction between the second and third chords. Across all individuals, diatonic and chromatic pre-dominant chords were rated significantly higher than non-pre-dominant chords and bridge chords. Further, music theory training moderated this relationship, with individuals with more theory training rating pre-dominant chords as being more attracted to the dominant.