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
  0-2-4-5-9
• Occupancy from the rootexact
  1010110001
• Chord quality without a root · this pageexact
  6add2add4no5
• Scale type without a tonic

  Invalid point set as a scale type: received [0,2,4,5,9], expected offsets 0–11 that form a named scale

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-E4-F4-A4

  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
  0-2-4-5-9

  Path point-set → pc-set

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

• Chord symbol · Chord symbol

  lossy
  Dm9/C

  Path point-set → note-set → chord · 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 octave, voicing. C4-D4-E4-F4-A4 is named Dm9/C; register and voicing are dropped.

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

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

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

• Note distribution · MIDI : weight pairs

  exact
  60:1,62:1,64:1,65:1,69:1

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

  Path point-set → pc-set → pc-space

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

• Set class · Forte name

  lossy
  5-27B

  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.

• Pitch class · Pitch-class number

  lossy
  2

  Path point-set → note-set → chord → pitch-class · 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 octave, voicing. C4-D4-E4-F4-A4 is named Dm9/C; register and voicing are dropped.
  • Drops quality, bass. A chord symbol's root.

• Note · Letter name

  lossy
  D4

  Path point-set → note-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 octave, voicing. C4-D4-E4-F4-A4 is named Dm9/C; register and voicing are dropped.
  • Drops quality, bass. A chord symbol's root.

Live coding

Use in Symbolic Cycle

sym('point-set/chord-name/6add2add4no5')