Class VoiceLeadingGeometry

Voice-leading geometry (Tymoczko): OPTIC equivalence and minimal voice leadings between chords.

Index

Constructors

Methods

chordGraphDistance efficientVoiceLeading OPTIC

Constructors

constructor

new VoiceLeadingGeometry(): VoiceLeadingGeometry
Returns VoiceLeadingGeometry

Methods

`Static`chordGraphDistance

chordGraphDistance(a: Chord, b: Chord): number
Returns the voice-leading distance between two chords: the minimum total semitone displacement across all voice assignments.
Parameters
- a: Chord
- b: Chord
Returns number
- Defined in voice-leading-geometry.ts:141

`Static`efficientVoiceLeading

efficientVoiceLeading(
a: Chord,
b: Chord,
): { paths: Note[][]; totalDistance: number }
Finds the most efficient voice leading between two chords in pitch-class space: each voice of a goes to a note of b, and the cost is the sum of the interval classes moved (the shortest way, up or down, ignoring octaves). Up to 8 voices.

Returns all minimal-cost assignments (notes of b in the order of a's voices) and the total distance in steps.
Parameters
- a: Chord
  Source chord.
- b: Chord
  Target chord.
Returns { paths: Note[][]; totalDistance: number }
- paths: Note[][]
  Every minimal assignment: notes of b in the order of a's voices.
- totalDistance: number
  Sum of the interval classes moved, in steps.
Throws
RangeError for chords of more than 8 notes.
- Defined in voice-leading-geometry.ts:100

`Static`OPTIC

OPTIC(chord: number[]): OPTICResult
Computes OPTIC equivalence for a chord.
Parameters
- chord: number[]
Returns OPTICResult
- Defined in voice-leading-geometry.ts:84