A pitch-class space in a scale's pitch classes, equally weighted

Realization

See and hear it

Same value

Also written as

Every notation of the pitch-class distribution concept, formatted from this value by the Symbolic library.

• Twelve weightslossy
  1,0,1,0,1,1,0,1,0,1,0,1
  • Drops profile. d-dorian is read as equal weight on its pitch classes, not a measured profile.
• Normalized weightslossy
  0.14,0,0.14,0,0.14,0.14,0,0.14,0,0.14,0,0.14
  • Drops profile. d-dorian is read as equal weight on its pitch classes, not a measured profile.
  • Drops absolute counts. Weights are scaled to sum to 1 and rounded to two decimals.
• Bracketed twelve weightslossy
  [0.14,0,0.14,0,0.14,0.14,0,0.14,0,0.14,0,0.14]
  • Drops profile. d-dorian is read as equal weight on its pitch classes, not a measured profile.
  • Drops absolute counts. Weights are scaled to sum to 1 and rounded to two decimals.
• A scale's pitch classes, equally weighted · this pagelossy
  c-major

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.

• Pitch-class set · Pitch-class numbers

  lossy
  0-2-4-5-7-9-11

  Path pc-space → pc-set

  • Drops profile. d-dorian is read as equal weight on its pitch classes, not a measured profile.
  • Drops weights. A distribution's support: the pitch classes with any weight.

• Chord symbol · Chord symbol

  lossy
  Fmaj13#11/C

  Path pc-space → pc-set → chord

  • Drops profile. d-dorian is read as equal weight on its pitch classes, not a measured profile.
  • Drops weights. A distribution's support: the pitch classes with any weight.
  • Drops interpretation. 0-2-4-5-7-9-11 is named Fmaj13#11/C, a detection rather than a spelling.

• Note set · Letter names

  lossy
  C4-D4-E4-F4-G4-A4-B4

  Path pc-space → pc-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.
  • Drops profile. d-dorian is read as equal weight on its pitch classes, not a measured profile.
  • Drops weights. A distribution's support: the pitch classes with any weight.

• Point set · Semitone offsets

  lossy
  0-2-4-5-7-9-11

  Path pc-space → pc-set → point-set

  • Drops profile. d-dorian is read as equal weight on its pitch classes, not a measured profile.
  • Drops weights. A distribution's support: the pitch classes with any weight.

• Set class · Forte name

  lossy
  7-35

  Path pc-space → pc-set → pc-set-analysis

  • Drops profile. d-dorian is read as equal weight on its pitch classes, not a measured profile.
  • Drops weights. A distribution's support: the pitch classes with any weight.
  • Drops transposition. The set's Tn class (Forte name with A/B, prime form); the transposition is dropped.

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

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

  Path pc-space → pc-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 profile. d-dorian is read as equal weight on its pitch classes, not a measured profile.
  • Drops weights. A distribution's support: the pitch classes with any weight.
  • Drops alternative positions. C4 has 2 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

  lossy
  60:1,62:1,64:1,65:1,67:1,69:1,71:1

  Path pc-space → pc-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.
  • Drops profile. d-dorian is read as equal weight on its pitch classes, not a measured profile.
  • Drops weights. A distribution's support: the pitch classes with any weight.

• Pitch class · Pitch-class number

  lossy
  5

  Path pc-space → pc-set → chord → pitch-class

  • Drops profile. d-dorian is read as equal weight on its pitch classes, not a measured profile.
  • Drops weights. A distribution's support: the pitch classes with any weight.
  • Drops interpretation. 0-2-4-5-7-9-11 is named Fmaj13#11/C, a detection rather than a spelling.
  • Drops quality, bass. A chord symbol's root.

• Note · Letter name

  lossy
  F4

  Path pc-space → pc-set → chord → pitch-class → note · needs octave

  • Assumed octave 4. No octave was given, so octave 4 is used.
  • Drops profile. d-dorian is read as equal weight on its pitch classes, not a measured profile.
  • Drops weights. A distribution's support: the pitch classes with any weight.
  • Drops interpretation. 0-2-4-5-7-9-11 is named Fmaj13#11/C, a detection rather than a spelling.
  • Drops quality, bass. A chord symbol's root.

Live coding

Use in Symbolic Cycle

sym('pc-space/scale-name/d-dorian')