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
  2-4-7-9-11
• Occupancy from the root

  Invalid point set as binary: received [2,4,7,9,11], expected offsets starting at 0

• Chord quality without a root

  Invalid point set as a chord quality: received [2,4,7,9,11], expected offsets from 0

• Scale type without a tonic

  Invalid point set as a scale type: received [2,4,7,9,11], 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
  D4-E4-G4-A4-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
  2-4-7-9-11

  Path point-set → pc-set

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

• Chord symbol · Chord symbol

  lossy
  A11/D

  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. D4-E4-G4-A4-B4 is named A11/D (also G6/9/D, A9sus4/D, Em7add11/D); register and voicing are dropped.

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

  lossy
  aura@C3:2,2 4,0 4,1 3,3 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. E4 has 2 positions, G4 has 2 positions, A4 has 2 positions, B4 has 2 positions on aura; the one nearest (0, 0) is kept.

• Note distribution · MIDI : weight pairs

  exact
  62:1,64:1,67:1,69:1,71:1

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

  Path point-set → pc-set → pc-space

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

• Set class · Forte name

  lossy
  5-35

  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
  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. D4-E4-G4-A4-B4 is named A11/D (also G6/9/D, A9sus4/D, Em7add11/D); 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. D4-E4-G4-A4-B4 is named A11/D (also G6/9/D, A9sus4/D, Em7add11/D); register and voicing are dropped.
  • Drops quality, bass. A chord symbol's root.

Live coding

Use in Symbolic Cycle

sym('point-set/steps/2-4-7-9-11')