A interval in interval between two pitch classes

Realization

See and hear it

Same value

Also written as

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

• Semitone countlossy
  2
  • Drops octave, direction. Two pitch classes give the upward interval within one octave.
• Interval namelossy
  2M
  • Drops octave, direction. Two pitch classes give the upward interval within one octave.
• Interval between two noteslossy
  C4-D4
  • Drops octave, direction. Two pitch classes give the upward interval within one octave.
• Interval between two pitch classes · this pagelossy
  C-D
• Two frequencies in Hzlossy
  440-493.88
  • Drops octave, direction. Two pitch classes give the upward interval within one octave.
• Interval name (P5, -m3)lossy
  M2
  • Drops octave, direction. Two pitch classes give the upward interval within one octave.
• Frequency ratiolossy
  9/8
  • Drops octave, direction. Two pitch classes give the upward interval within one octave.
  • Drops tuning. 2 semitones are written as the 5-limit just ratio 9/8, an interpretation.

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.

• Point set · Semitone offsets

  lossy
  0-2

  Path interval → point-set

  • Drops octave, direction. Two pitch classes give the upward interval within one octave.

• Note set · Letter names

  lossy
  C4-D4

  Path interval → 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.
  • Drops octave, direction. Two pitch classes give the upward interval within one octave.

• Pitch-class set · Pitch-class numbers

  lossy
  0-2

  Path interval → point-set → pc-set

  • Drops octave, direction. Two pitch classes give the upward interval within one octave.
  • Drops octave placement, doubling. Offsets fold into the octave above the root.

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

  lossy
  aura@C3:3,0 2,2

  Path interval → 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 octave, direction. Two pitch classes give the upward interval within one octave.
  • Drops alternative positions. C4 has 2 positions on aura; the one nearest (0, 0) is kept.

• Note distribution · MIDI : weight pairs

  lossy
  60:1,62:1

  Path interval → 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.
  • Drops octave, direction. Two pitch classes give the upward interval within one octave.

• Pitch-class distribution · Twelve weights

  lossy
  1,0,1,0,0,0,0,0,0,0,0,0

  Path interval → point-set → pc-set → pc-space

  • Drops octave, direction. Two pitch classes give the upward interval within one octave.
  • Drops octave placement, doubling. Offsets fold into the octave above the root.

• Set class · Forte name

  lossy
  2-2

  Path interval → point-set → pc-set → pc-set-analysis

  • Drops octave, direction. Two pitch classes give the upward interval within one octave.
  • 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.

Live coding

Use in Symbolic Cycle

sym('interval/pc/C-D')