A interval in frequency ratio

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 countquantized
  15
  • Drops cents. 12/5 is 1515.641¢, +15.641¢ from 15 semitones; the deviation is kept on the value but dropped by semitone notations.
• Interval namequantized
  10m
  • Drops cents. 12/5 is 1515.641¢, +15.641¢ from 15 semitones; the deviation is kept on the value but dropped by semitone notations.
• Interval between two notesquantized
  C4-Eb5
  • Drops cents. 12/5 is 1515.641¢, +15.641¢ from 15 semitones; the deviation is kept on the value but dropped by semitone notations.
• Interval between two pitch classeslossy
  C-D#
  • Drops cents. 12/5 is 1515.641¢, +15.641¢ from 15 semitones; the deviation is kept on the value but dropped by semitone notations.
  • Drops octave, direction. 15 semitones are written as the pitch-class interval 3.
  • Drops interpretation. Interval between two pitch classes is an interpretation and does not read back exactly.
• Two frequencies in Hzquantized
  440-1056
  • Drops cents. 12/5 is 1515.641¢, +15.641¢ from 15 semitones; the deviation is kept on the value but dropped by semitone notations.
• Interval name (P5, -m3)quantized
  m10
  • Drops cents. 12/5 is 1515.641¢, +15.641¢ from 15 semitones; the deviation is kept on the value but dropped by semitone notations.
• Frequency ratio · this pagequantized
  12/5

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

  quantized
  0-15

  Path interval → point-set

  • Drops cents. 12/5 is 1515.641¢, +15.641¢ from 15 semitones; the deviation is kept on the value but dropped by semitone notations.

• Note set · Letter names

  quantized
  C4-Eb5

  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 cents. 12/5 is 1515.641¢, +15.641¢ from 15 semitones; the deviation is kept on the value but dropped by semitone notations.

• Pitch-class set · Pitch-class numbers

  lossy
  0-3

  Path interval → point-set → pc-set

  • Drops cents. 12/5 is 1515.641¢, +15.641¢ from 15 semitones; the deviation is kept on the value but dropped by semitone notations.
  • 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 3,5

  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 cents. 12/5 is 1515.641¢, +15.641¢ from 15 semitones; the deviation is kept on the value but dropped by semitone notations.
  • Drops alternative positions. C4 has 2 positions, Eb5 has 2 positions on aura; the one nearest (0, 0) is kept.

• Note distribution · MIDI : weight pairs

  quantized
  60:1,75:1

  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 cents. 12/5 is 1515.641¢, +15.641¢ from 15 semitones; the deviation is kept on the value but dropped by semitone notations.

• Pitch-class distribution · Twelve weights

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

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

  • Drops cents. 12/5 is 1515.641¢, +15.641¢ from 15 semitones; the deviation is kept on the value but dropped by semitone notations.
  • Drops octave placement, doubling. Offsets fold into the octave above the root.

• Set class · Forte name

  lossy
  2-3

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

  • Drops cents. 12/5 is 1515.641¢, +15.641¢ from 15 semitones; the deviation is kept on the value but dropped by semitone notations.
  • 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/ratio/12%2F5')