A point set in chord quality without a root

Realization

See and hear it

Same value

Also written as

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

• Semitone offsetsexact
  0-2-3-5-7-8-11
• Occupancy from the rootexact
  101101011001
• Chord quality without a root · this pageexact
  mMaj7add2add4addb6
• Scale type without a tonicexact
  harmonic minor

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.

• Note set · Letter names

  exact
  C4-D4-Eb4-F4-G4-Ab4-B4

  Path point-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 set · Pitch-class numbers

  lossy
  0-2-3-5-7-8-11

  Path point-set → pc-set

  • Drops octave placement, doubling. Offsets fold into the octave above the root.

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

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

  Path point-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, G4 has 2 positions, Ab4 has 2 positions, B4 has 2 positions on aura; the one nearest (0, 0) is kept.

• Note distribution · MIDI : weight pairs

  exact
  60:1,62:1,63:1,65:1,67:1,68:1,71:1

  Path point-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 distribution · Twelve weights

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

  Path point-set → pc-set → pc-space

  • Drops octave placement, doubling. Offsets fold into the octave above the root.

• Set class · Forte name

  lossy
  7-32A

  Path point-set → pc-set → pc-set-analysis

  • Drops octave placement, doubling. Offsets fold into the octave above the root.
  • Drops transposition. The set's Tn class (Forte name with A/B, prime form); the transposition is dropped.

Live coding

Use in Symbolic Cycle

sym('point-set/chord-name/mMaj7add2add4addb6')