Glossary, Jazz Theory
   
Glossary
Acoustic
Acoustics
Ancohemitonic

Set Theory

Atonal Theory

Set Theory

Atritonic

Set Theory

Augmented
Avoid Note
Bebop
Blues
Cardinality

Set Theory

Cardinality Equivalence

Set Theory

Cent
Chord
Chord Formula
Chord Type
Chromatic Cluster

Set Theory

Chromatic Scale
Clock Diagram

Set Theory

Cluster-free

Set Theory

Cohemitonic

Set Theory

Common Practice
Compatibility
Complement

Set Theory

Consonance
Diatonic
Diminished
Double Augmented Hexatonic
Double Diminished (Octatonic)
Eleventh
Enharmonic Equivalent
Evenness

Set Theory

Fifth
Forte Number

Set Theory

Fourth
Guitar
Harmonic Major
Harmonic Minor
Harmony
Interval
Interval Class

Set Theory

Interval Content

Set Theory

Inversion
Involution

Set Theory

Jazz
Jazz Theory
Key
Keyboard
Lewin-Quinn FC-components

Set Theory

Limited Transposition

Set Theory

M-Relation

Set Theory

Major
Melody
Minor
Mode
Ninth
Note
OC-Equivalence

Set Theory

OPC-Equivalence

Set Theory

OPTC-Equivalence

Set Theory

OPTIC-Equivalence

Set Theory

OPTIC/K-Equivalence

Set Theory

OTC-Equivalence

Set Theory

Octatonic
Octave
Octave-Equivalence

Set Theory

Other Scales
Parallel Key
Pentatonic
Permutation Equivalence

Set Theory

Piano
Pitch
Pitch Class

Set Theory

Playing Outside
Prime Form

Set Theory

Quartal

Set Theory

Reharmonization
Relative Key
Rhythm
Roman Numeral Function
Root
Scale
Second
Semitone
Set Class

Set Theory

Seventh
Sixth
Slash Chords
Suspended
Symmetry

Set Theory

Tenth
Tertiary
Third
Thirteenth
Tonality
Tonic
Transposition
Triad
Tritone
Tritonic

Set Theory

Tuning Systems
Twelfth
Twelve-tone Equal Temperament
Unison
Voice Leading
Whole Tone
Whole-Tone Scale
Z-Relation

Set Theory



Jazz Theory

Glossary

There is no reason the well-established harmonic conventions in a century of jazz theory (or jazz harmony) cannot be divorced from the style of music where it was developed, jazz—with its swung beat and specific instruments, tempos, and moods—and used as a (partial) basis of generalizing harmony beyond the strictures of the common practice.

Indeed, jazz fusion, progressive rock, and progressive metal take this exact approach, even retaining some of the improvisational aspects of blues and jazz. (See also Tymoczko 2011 chapter 10 where the author highlights some of the direct influence of the early twentieth century scalar practice (Ravel, Debussy, Stravinsky) on jazz theory. Wynton Marsalis claims that “classical music is one of the foundations of jazz,” Sean Carroll’s Mindscape podcast, Episode 12.)

Jazz theory generalizes modes, allowing their notes to be played simultaneously, blurring the distinction between chord and scale (see Levine 1995), and allowing for shifting ensembles of jazz musicians to improvise together harmoniously (Tymockzo 2011, chapter 10). Groups of chords are collected into modes with the same root and the chords and mode are said to be compatible, so for example, the C Mixolydian mode is “played” vertically by voicing (or played over) either a C major triad, a C dominant seventh, or a C dominant ninth, etc. Avoid notes add some much-needed asymmetry and keep things from becoming too muddy and ambiguous.

For chromatic-cluster-free scales that span the octave and are made entirely of semitone and whole-tone (two-semitone) steps, there are only four possible scale types: the hexatonic (six-note) whole-tone scale, the heptatonic (seven-note) diatonic and acoustic scales, and the octatonic (eight-note) diminished scale. These scales, coupled with the chromatic scale, are the foundation of jazz theory and the focus of Harmonious. Other scales have varying degrees of importance harmonically.

See the tutorials starting with Diatonic Modes & Chords as well as reharmonization and playing outside for more on the details of jazz theory.