Glossary, Evenness
   
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



Evenness

Glossary

Set Theory

Nearly even or maximally even chords and scales are much more common in harmony because they are related to their involutions and transpositions by short voice leadings, whereas perfectly even chords and scales are limited in their voice leading possibilities.

Examples of perfectly even chords and scales are the diminished seventh, augmented triad, and hexatonic whole-tone scale. Examples of nearly even or maximally even chords and scales are major and minor triads, dominant seventh, half-diminished seventh, pentatonic scale, diatonic scale, etc.

See Evenness & Clusters and Tymoczko 2006 and 2011 for extended explanations of this.

TODO

Measure of Evenness v. Average Voice-Leading Distance. Distance (x-axis) of OPTIC-equivalent set class (prime form) to the perfectly even C-note chord (for cardinality C) versus average voice-leading distance (y-axis) of set class to its transpositions. (Regression lines ignore modes of limited transposition as outliers.)

See Set Classes By Evenness.