Glossary, Limited Transposition
   
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


Limited Transposition

Glossary

Set Theory

Perfectly even chords and scales are limited in their voice leading possibilities partly because they have a limited number of transpositions. The Limited Transposition index lists all possible modes of limited transposition for 12-TET.

Examples of perfectly even chords and scales are the diminished seventh, augmented triad, and hexatonic whole-tone scale.

There are three transpositions of the diminished seventh chord, not twelve: C dim 7 = E♭ dim 7 = F# dim 7 = A dim 7 (one), D♭ dim 7 = ... (two), D dim 7 = ... (three).

animation of four clocks with three evenly-spaced dots animating forever clockwise, but only taking four rotations to do so

There are only four different augmented triads: C Aug = E Aug = A♭ Aug (one), D♭ Aug = ... (two), D Aug = ... (three), Eb Aug = ... (four).

See Grouping Clocks for more.

See Set Classes with Limited Transposition.