A pitch-class set analysis in prime form

Realization

See and hear it

Same value

Also written as

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

• Forte nameexact
  6-31A
• Prime form · this pageexact
  013589

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

  exact
  0-1-3-5-8-9

  Path pc-set-analysis → pc-set · needs root

  • Assumed root C. No root was given, so the value is read from C.

• Chord symbol · Chord symbol

  lossy
  F7#9b13/C

  Path pc-set-analysis → pc-set → chord · needs root

  • Assumed root C. No root was given, so the value is read from C.
  • Drops interpretation. 0-1-3-5-8-9 is named F7#9b13/C, a detection rather than a spelling.

• Note set · Letter names

  exact
  C4-Db4-Eb4-F4-Ab4-A4

  Path pc-set-analysis → 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.

• Pitch-class distribution · Twelve weights

  exact
  1,1,0,1,0,1,0,0,1,1,0,0

  Path pc-set-analysis → pc-set → pc-space · needs root

  • Assumed root C. No root was given, so the value is read from C.

• Point set · Semitone offsets

  exact
  0-1-3-5-8-9

  Path pc-set-analysis → pc-set → point-set · needs root

  • Assumed root C. No root was given, so the value is read from C.

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

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

  Path pc-set-analysis → 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 alternative positions. C4 has 2 positions, Eb4 has 2 positions, Ab4 has 2 positions, A4 has 2 positions on aura; the one nearest (0, 0) is kept.

• Note distribution · MIDI : weight pairs

  exact
  60:1,61:1,63:1,65:1,68:1,69:1

  Path pc-set-analysis → 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.

• Pitch class · Pitch-class number

  lossy
  5

  Path pc-set-analysis → pc-set → chord → pitch-class · needs root

  • Assumed root C. No root was given, so the value is read from C.
  • Drops interpretation. 0-1-3-5-8-9 is named F7#9b13/C, a detection rather than a spelling.
  • Drops quality, bass. A chord symbol's root.

• Note · Letter name

  lossy
  F4

  Path pc-set-analysis → pc-set → chord → pitch-class → note · 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 interpretation. 0-1-3-5-8-9 is named F7#9b13/C, a detection rather than a spelling.
  • Drops quality, bass. A chord symbol's root.

Live coding

Use in Symbolic Cycle

sym('pc-set-analysis/prime/013589')