A pitch class in circle-of-fifths angle

Realization

See and hear it

Same value

Also written as

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

• Pitch-class numberquantized
  2
• Letter namequantized
  D
• Unicode accidentalslossy
  D
  • Drops interpretation. Unicode accidentals is an interpretation and does not read back exactly.
• 12-bit binaryquantized
  001000000000
• Chromatic radianquantized
  1.047
• Circle-of-fifths angle · this pagequantized
  1.047
• Tonal-sphere angles (φ chromatic, θ fifths)quantized
  1.047,1.047
• Fixed-doquantized
  re

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 · Letter name

  quantized
  D4

  Path pitch-class → note · needs octave

  • Assumed octave 4. No octave was given, so octave 4 is used.

• Pitch-class set · Pitch-class numbers

  quantized
  2

  Path pitch-class → pc-set

• Note set · Letter names

  quantized
  D4

  Path pitch-class → 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.

• Pitch-class distribution · Twelve weights

  quantized
  0,0,1,0,0,0,0,0,0,0,0,0

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

• Point set · Semitone offsets

  quantized
  2

  Path pitch-class → pc-set → point-set

• Set class · Forte name

  lossy
  1-1

  Path pitch-class → pc-set → pc-set-analysis

  • 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)

  quantized
  aura@C3:2,2

  Path pitch-class → 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.

• Note distribution · MIDI : weight pairs

  quantized
  62:1

  Path pitch-class → 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.

Live coding

Use in Symbolic Cycle

sym('pitch-class/fifthRadian/1.047')