A point set in occupancy from the 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
  0-9-12-13-16-19
• Occupancy from the root · this pageexact
  10000000010011001001
• Chord quality without a root

  Invalid chord degrees: received [0,9,12,13,16,19], expected degrees a chord symbol can name (root, third, fifth, sixth, seventh, 9, 11, 13 and their alterations)

• Scale type without a tonic

  Invalid point set as a scale type: received [0,9,12,13,16,19], 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-A4-C5-Db5-E5-G5

  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
  0-1-4-7-9

  Path point-set → pc-set

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

• Chord symbol · Chord symbol

  lossy
  A7#9/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-A4-C5-Db5-E5-G5 is named A7#9/C; register and voicing are dropped.

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

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

  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, A4 has 2 positions, C5 has 2 positions, Db5 has 2 positions, E5 has 2 positions, G5 has 2 positions on aura; the one nearest (0, 0) is kept.

• Note distribution · MIDI : weight pairs

  exact
  60:1,69:1,72:1,73:1,76:1,79:1

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

  Path point-set → pc-set → pc-space

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

• Set class · Forte name

  lossy
  5-32B

  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
  9

  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-A4-C5-Db5-E5-G5 is named A7#9/C; register and voicing are dropped.
  • Drops quality, bass. A chord symbol's root.

• Note · Letter name

  lossy
  A4

  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-A4-C5-Db5-E5-G5 is named A7#9/C; register and voicing are dropped.
  • Drops quality, bass. A chord symbol's root.

Live coding

Use in Symbolic Cycle

sym('point-set/binary/10000000010011001001')