A functional harmony in roman numerals

Realization

See and hear it

Same value

Also written as

Every notation of the roman-numeral progression concept, formatted from this value by the Symbolic library.

• Roman numerals · this pageexact
  ii-V-I
• Roman numerals with classical figuresexact
  ii-V-I
• Nashville numbersexact
  2m 5 1

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.

• Chord progression · Chord symbols

  exact
  Dm G C

  Path functional-harmony → chord-sequence · needs key

  • Assumed key C major. No key was given, so C major is used.

• Pitch-class set sequence · Pitch-class sets in order

  exact
  2-5-9,2-7-11,0-4-7

  Path functional-harmony → pc-set-sequence · needs key

  • Assumed key C major. No key was given, so C major is used.

• Pitch-class set · Pitch-class numbers

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

  Path functional-harmony → pc-set-sequence → pc-set · needs key

  • Assumed key C major. No key was given, so C major is used.
  • Drops order, duration, chord boundaries. A progression collapses to the union of its pitch classes.

• Chord symbol · Chord symbol

  lossy
  Fmaj13#11/C

  Path functional-harmony → pc-set-sequence → pc-set → chord · needs key

  • Assumed key C major. No key was given, so C major is used.
  • Drops order, duration, chord boundaries. A progression collapses to the union of its pitch classes.
  • 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 functional-harmony → pc-set-sequence → pc-set → note-set · needs key, root, octave

  • Assumed key C major. No key was given, so C major is used.
  • 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 order, duration, chord boundaries. A progression collapses to the union of its pitch classes.

• Pitch-class distribution · Twelve weights

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

  Path functional-harmony → pc-set-sequence → pc-set → pc-space · needs key

  • Assumed key C major. No key was given, so C major is used.
  • Drops order, duration, chord boundaries. A progression collapses to the union of its pitch classes.

• Point set · Semitone offsets

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

  Path functional-harmony → pc-set-sequence → pc-set → point-set · needs key

  • Assumed key C major. No key was given, so C major is used.
  • Drops order, duration, chord boundaries. A progression collapses to the union of its pitch classes.

• Set class · Forte name

  lossy
  7-35

  Path functional-harmony → pc-set-sequence → pc-set → pc-set-analysis · needs key

  • Assumed key C major. No key was given, so C major is used.
  • Drops order, duration, chord boundaries. A progression collapses to the union of its pitch classes.
  • 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 functional-harmony → pc-set-sequence → pc-set → note-set → grid-position · needs key, root, octave, layout

  • Assumed key C major. No key was given, so C major is used.
  • 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 order, duration, chord boundaries. A progression collapses to the union of its pitch classes.
  • 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 functional-harmony → pc-set-sequence → pc-set → note-set → note-space · needs key, root, octave

  • Assumed key C major. No key was given, so C major is used.
  • 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 order, duration, chord boundaries. A progression collapses to the union of its pitch classes.

• Pitch class · Pitch-class number

  lossy
  5

  Path functional-harmony → pc-set-sequence → pc-set → chord → pitch-class · needs key

  • Assumed key C major. No key was given, so C major is used.
  • Drops order, duration, chord boundaries. A progression collapses to the union of its pitch classes.
  • 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 functional-harmony → pc-set-sequence → pc-set → chord → pitch-class → note · needs key, octave

  • Assumed key C major. No key was given, so C major is used.
  • Assumed octave 4. No octave was given, so octave 4 is used.
  • Drops order, duration, chord boundaries. A progression collapses to the union of its pitch classes.
  • 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('functional-harmony/roman/ii-V-I')