A chord progression in neo-riemannian plr word from a triad

Realization

See and hear it

Same value

Also written as

Every notation of the chord progression concept, formatted from this value by the Symbolic library.

• Chord symbolsexact
  C Cm Ab Fm
• Harte MIR labelsexact
  C:maj C:min Ab:maj F:min
• Neo-Riemannian PLR word from a triad · this pageexact
  C:PLR

Other concepts

Bridges

Converting into another concept may need context this value does not carry (a root, an octave, a key). Where it is missing the library assumes a default and says so; where a step drops information it is listed.

• Pitch-class set sequence · Pitch-class sets in order

  lossy
  0-4-7,0-3-7,0-3-8,0-5-8

  Path chord-sequence → pc-set-sequence

  • Drops root function, spelling, bass, N.C.. Each chord's pitch classes, in order; N.C. becomes the empty set.

• Roman-numeral progression · Roman numerals

  lossy
  I-i-bVI-iv

  Path chord-sequence → functional-harmony · needs key

  • Assumed key C major. No key was given, so C major is used.
  • Drops interpretation. The chords are read in C major: an analysis, not a spelling.

• Pitch-class set · Pitch-class numbers

  lossy
  0-3-4-5-7-8

  Path chord-sequence → pc-set-sequence → pc-set

  • Drops root function, spelling, bass, N.C.. Each chord's pitch classes, in order; N.C. becomes the empty set.
  • Drops order, duration, chord boundaries. A progression collapses to the union of its pitch classes.

• Note set · Letter names

  lossy
  C4-Eb4-E4-F4-G4-Ab4

  Path chord-sequence → pc-set-sequence → pc-set → note-set · needs root, octave

  • Assumed root C. No root was given, so the value is read from C.
  • Assumed octave 4. No octave was given, so octave 4 is used.
  • Drops root function, spelling, bass, N.C.. Each chord's pitch classes, in order; N.C. becomes the empty set.
  • Drops order, duration, chord boundaries. A progression collapses to the union of its pitch classes.

• Pitch-class distribution · Twelve weights

  lossy
  1,0,0,1,1,1,0,1,1,0,0,0

  Path chord-sequence → pc-set-sequence → pc-set → pc-space

  • Drops root function, spelling, bass, N.C.. Each chord's pitch classes, in order; N.C. becomes the empty set.
  • Drops order, duration, chord boundaries. A progression collapses to the union of its pitch classes.

• Point set · Semitone offsets

  lossy
  0-3-4-5-7-8

  Path chord-sequence → pc-set-sequence → pc-set → point-set

  • Drops root function, spelling, bass, N.C.. Each chord's pitch classes, in order; N.C. becomes the empty set.
  • Drops order, duration, chord boundaries. A progression collapses to the union of its pitch classes.

• Set class · Forte name

  lossy
  6-14B

  Path chord-sequence → pc-set-sequence → pc-set → pc-set-analysis

  • Drops root function, spelling, bass, N.C.. Each chord's pitch classes, in order; N.C. becomes the empty set.
  • Drops order, duration, chord boundaries. A progression collapses to the union of its pitch classes.
  • Drops transposition. The set's Tn class (Forte name with A/B, prime form); the transposition is dropped.

• Grid position · Cells col,row (optional layout@origin: prefix)

  lossy
  aura@C3:3,0 3,1 4,0 2,3 4,1 2,4

  Path chord-sequence → pc-set-sequence → pc-set → note-set → grid-position · needs root, octave, layout

  • Assumed root C. No root was given, so the value is read from C.
  • Assumed octave 4. No octave was given, so octave 4 is used.
  • Assumed layout aura. No layout was given, so positions are read on the aura layout.
  • Assumed root C3. No root was given, so the value sounds above C3.
  • Drops root function, spelling, bass, N.C.. Each chord's pitch classes, in order; N.C. becomes the empty set.
  • Drops order, duration, chord boundaries. A progression collapses to the union of its pitch classes.
  • Drops alternative positions. C4 has 2 positions, Eb4 has 2 positions, E4 has 2 positions, G4 has 2 positions, Ab4 has 2 positions on aura; the one nearest (0, 0) is kept.

• Note distribution · MIDI : weight pairs

  lossy
  60:1,63:1,64:1,65:1,67:1,68:1

  Path chord-sequence → pc-set-sequence → pc-set → note-set → note-space · needs root, octave

  • Assumed root C. No root was given, so the value is read from C.
  • Assumed octave 4. No octave was given, so octave 4 is used.
  • Drops root function, spelling, bass, N.C.. Each chord's pitch classes, in order; N.C. becomes the empty set.
  • Drops order, duration, chord boundaries. A progression collapses to the union of its pitch classes.

Live coding

Use in Symbolic Cycle

sym('chord-sequence/plr/C:PLR')