Chord inversion voicings calculator

Calculate closed-position voicings within bounds and voicing count with your own figures.

Your numbers

Use the units shown. Results update as you change valid inputs.

Use closed-position voicings within bounds and voicing count to compare changes to your inputs. The method and limits below explain the scope.

Examples

Examples

Try the starting example

Chord pitch classes
C,E,G
Lowest permitted note
C4
Highest permitted note
C5
Required bass pitch class, or any
any
Spelling: sharps or flats
sharps
Closed-position voicings within bounds
C4 + E4 + G4; E4 + G4 + C5
Voicing count
2
Semitone span for each voicing
7, 8

Try another scenario

Chord pitch classes
C,E,G
Lowest permitted note
C4
Highest permitted note
G5
Required bass pitch class, or any
G
Spelling: sharps or flats
sharps
Closed-position voicings within bounds
G4 + C5 + E5
Voicing count
1
Semitone span for each voicing
9
Calculation method

Calculation method

Closed-position voicings within bounds

For every occurrence of an allowed bass pitch, stack the other chord pitch classes in ascending cyclic order within the next octave. Keep only complete voicings inside both inclusive bounds.

Voicing count

Number of complete closed-position voicings retained.

Semitone span for each voicing

Highest note MIDI number − lowest note MIDI number, per voicing.

Symbols and units
a
Chord pitch classes
b
Lowest permitted note
c
Highest permitted note
d
Required bass pitch class, or any
e
Spelling: sharps or flats

Use the units shown. A list keeps the order in which you enter its values. The symbol ^ means “raised to the power of”.

Assumptions & limits

Assumptions & limits

  • Enumerates closed-position inversions with each pitch class used once. Does not generate open voicings, doubled notes, voice-leading optimisation or instrument-specific fingerings.
Are these inputs private?

These calculations run in your browser. A shared link contains the values you choose to share. Only questions submitted to the separate AI finder are sent to OpenAI.

Further reading

MIDI Association: tuning specification ↗

Background reading; this does not imply endorsement or independent review of SumFizz.

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