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
  0-4-7,0-5-9,2-7-11
• 12-bit sets joined by -exact
  100010010000-100001000100-001000010001
• Sets with beatslossy
  0-4-7:4,0-5-9:4,2-7-11:4
  • 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 keylossy
  I-IV-V
  • Drops interpretation. The sets are named as chords and read in C major: an analysis.
  • Drops interpretation. Roman numerals in the context key is an interpretation and does not read back exactly.

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
  0-2-4-5-7-9-11

  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
  Fmaj13#11/C

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

  • Drops order, duration, chord boundaries. A progression collapses to the union of its pitch classes.
  • Drops interpretation. 0-2-4-5-7-9-11 is named Fmaj13#11/C, a detection rather than a spelling.

• Note set · Letter names

  lossy
  C4-D4-E4-F4-G4-A4-B4

  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
  1,0,1,0,1,1,0,1,0,1,0,1

  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
  0-2-4-5-7-9-11

  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
  7-35

  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@C3:3,0 2,2 4,0 2,3 4,1 3,3 5,1

  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. C4 has 2 positions, E4 has 2 positions, G4 has 2 positions, A4 has 2 positions, B4 has 2 positions on aura; the one nearest (0, 0) is kept.

• Note distribution · MIDI : weight pairs

  lossy
  60:1,62:1,64:1,65:1,67:1,69:1,71:1

  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
  5

  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. 0-2-4-5-7-9-11 is named Fmaj13#11/C, a detection rather than a spelling.
  • Drops quality, bass. A chord symbol's root.

• Note · Letter name

  lossy
  F4

  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. 0-2-4-5-7-9-11 is named Fmaj13#11/C, 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/0-4-7,5-9-0,7-11-2')