A pc set sequence in pitch-class sets in order

Realization

See and hear it

Same value

Also written as

Every notation of the pitch-class set sequence concept, formatted from this value by the Symbolic library.

• Pitch-class sets in order · this pageexact
  2-9
• 12-bit sets joined by -exact
  001000000100
• Sets with beatslossy
  2-9:4
  • Drops durations. Each set is written as one 4/4 bar (4 beats).
  • Drops interpretation. Sets with beats is an interpretation and does not read back exactly.
• Roman numerals in the context key

  Invalid chord: received "D5", expected a chord with a triad or seventh Roman numerals can name

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 · Pitch-class numbers

  lossy
  2-9

  Path pc-set-sequence → pc-set

  • Drops order, duration, chord boundaries. A progression collapses to the union of its pitch classes.

• Chord symbol · Chord symbol

  lossy
  D5

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

  • Drops order, duration, chord boundaries. A progression collapses to the union of its pitch classes.
  • Drops interpretation. 2-9 is named D5, a detection rather than a spelling.

• Note set · Letter names

  lossy
  D4-A4

  Path 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 order, duration, chord boundaries. A progression collapses to the union of its pitch classes.

• Pitch-class distribution · Twelve weights

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

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

  • Drops order, duration, chord boundaries. A progression collapses to the union of its pitch classes.

• Point set · Semitone offsets

  lossy
  2-9

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

  • Drops order, duration, chord boundaries. A progression collapses to the union of its pitch classes.

• Set class · Forte name

  lossy
  2-5

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

  • 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@C3:2,2 3,3

  Path 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 order, duration, chord boundaries. A progression collapses to the union of its pitch classes.
  • Drops alternative positions. A4 has 2 positions on aura; the one nearest (0, 0) is kept.

• Note distribution · MIDI : weight pairs

  lossy
  62:1,69:1

  Path 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 order, duration, chord boundaries. A progression collapses to the union of its pitch classes.

• Pitch class · Pitch-class number

  lossy
  2

  Path pc-set-sequence → pc-set → chord → pitch-class

  • Drops order, duration, chord boundaries. A progression collapses to the union of its pitch classes.
  • Drops interpretation. 2-9 is named D5, a detection rather than a spelling.
  • Drops quality, bass. A chord symbol's root.

• Note · Letter name

  lossy
  D4

  Path pc-set-sequence → pc-set → chord → pitch-class → note · needs octave

  • Assumed octave 4. No octave was given, so octave 4 is used.
  • Drops order, duration, chord boundaries. A progression collapses to the union of its pitch classes.
  • Drops interpretation. 2-9 is named D5, a detection rather than a spelling.
  • Drops quality, bass. A chord symbol's root.

Live coding

Use in Symbolic Cycle

sym('pc-set-sequence/numbers/2-9')