A point set in semitone offsets

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 offsets · this pageexact
  0-1-5-8-12-15-19-22
• Occupancy from the rootexact
  11000100100010010001001
• Chord quality without a root

  Invalid chord degrees: received [0,1,5,8,12,15,19,22], 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 [0,1,5,8,12,15,19,22], 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-Db4-F4-Ab4-C5-Eb5-G5-Bb5

  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
  0-1-3-5-7-8-10

  Path point-set → pc-set

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

• Chord symbol · Chord symbol

  lossy
  Dbmaj13#11/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-Db4-F4-Ab4-C5-Eb5-G5-Bb5 is named Dbmaj13#11/C; register and voicing are dropped.

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

  lossy
  aura@C3:3,0 1,3 2,3 2,4 3,4 3,5 4,5 4,6

  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, Ab4 has 2 positions, C5 has 2 positions, Eb5 has 2 positions, G5 has 2 positions, Bb5 has 2 positions on aura; the one nearest (0, 0) is kept.

• Note distribution · MIDI : weight pairs

  exact
  60:1,61:1,65:1,68:1,72:1,75:1,79:1,82:1

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

  Path point-set → pc-set → pc-space

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

• Set class · Forte name

  lossy
  7-35

  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
  1

  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-Db4-F4-Ab4-C5-Eb5-G5-Bb5 is named Dbmaj13#11/C; register and voicing are dropped.
  • Drops quality, bass. A chord symbol's root.

• Note · Letter name

  lossy
  Db4

  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-Db4-F4-Ab4-C5-Eb5-G5-Bb5 is named Dbmaj13#11/C; register and voicing are dropped.
  • Drops quality, bass. A chord symbol's root.

Live coding

Use in Symbolic Cycle

sym('point-set/steps/0-1-5-8-12-15-19-22')