A interval in interval between two notes

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 countexact
  12
• Interval nameexact
  8P
• Interval between two notes · this pageexact
  C4-C5
• Interval between two pitch classeslossy
  C-C
  • Drops octave, direction. 12 semitones are written as the pitch-class interval 0.
  • Drops interpretation. Interval between two pitch classes is an interpretation and does not read back exactly.
• Two frequencies in Hzexact
  440-880
• Interval name (P5, -m3)exact
  P8
• Frequency ratiolossy
  2/1
  • Drops tuning. 12 semitones are written as the 5-limit just ratio 2/1, 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

  exact
  0-12

  Path interval → point-set

• Note set · Letter names

  exact
  C4-C5

  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.

• Pitch-class set · Pitch-class numbers

  lossy
  0

  Path interval → point-set → pc-set

  • 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 3,4

  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 alternative positions. C4 has 2 positions, C5 has 2 positions on aura; the one nearest (0, 0) is kept.

• Note distribution · MIDI : weight pairs

  exact
  60:1,72:1

  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.

• Pitch-class distribution · Twelve weights

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

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

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

• Set class · Forte name

  lossy
  1-1

  Path interval → 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.

Live coding

Use in Symbolic Cycle

sym('interval/notes/C4-C5')