Inversion Calculator for Music Theory

Inversion Calculator

Spell chord inversions, slash symbols, bass notes, and voicings for triads and seventh chords.

🎵 Quick Presets

📊 Calculator Inputs

Use the inversion step to rotate the bass note, then shape the voicing with spread and doubling so the output matches a real chart or arrangement.
The list updates with the selected chord family.
Slash Symbol
C/E
chord symbol
Bass Note
E4
lowest pitch
Voicing Order
E-G-C
top to bass
Voice Span
16
semitones

📈 Chord Family Spec Grid

3 tones
Triad set
4 tones
Seventh set
2 moves
Triad cap
3 moves
7th cap

📑 Formula Reference Tables

FamilyDegreesIntervalsInversions
Major triad1-3-50,4,72
Minor triad1-b3-50,3,72
Diminished triad1-b3-b50,3,62
Augmented triad1-3-#50,4,82
Dominant seventh1-3-5-b70,4,7,103
Major seventh1-3-5-70,4,7,113
Minor seventh1-b3-5-b70,3,7,103
Half-diminished 71-b3-b5-b70,3,6,103
Diminished seventh1-b3-b5-bb70,3,6,93
PositionTriad BassSeventh BassSlash Form
Root positionRootRootNo slash
First inversionThirdThirdRoot/3rd
Second inversionFifthFifthRoot/5th
Third inversionN/ASeventhRoot/7th
StyleMoveSpanTexture
ClosedNoneTightCompact stack
OpenLift inner notesWiderAiry spacing
Drop-2Lower 2nd highestWiderCommon jazz shell
Drop-3Lower 3rd highestWidestBroad voicing
ExampleBassNotesUse
C/EEC-E-GTonic lift
G/BBG-B-DLeading bass
Dm/FFD-F-ASubdominant color
G7/FFG-B-D-FThird inversion
Cmaj7/EEC-E-G-BLush first inv
Fmaj7/CCF-A-C-ESoft second inv
Tip: Check the bass note first, then name the inversion from the lowest chord tone.
Tip: Open voicings widen the span without changing the harmonic spelling.

Chord inversions is used to change the lowest note of a chord to a different note within the chord besides the root note of that chord. Chord inversions change the bass note of a chord, and changing the bass note create movement in the music created by those chords. Chord inversions allow musicians to create smooth voice leading in there musical compositions because the inversions allow for the notes within a chord to move in small step rather than jumps to other notes.

A standard major chord contain three notes: the root note, the major third note, and the perfect fifth note. If the major third are the lowest note in the chord, it is referred to as a first inversion chord. If the perfect fifth is the lowest note in the chord, it is referred to as a second inversion chord.

What Are Chord Inversions and How They Work

Finally, if the root is the lowest note in the chord, it is referred to as root position chord. Seventh chords contains four notes and, therefore, have up to three inversions. In a third inversion chord, the flat seventh is the lowest note in the chord.

Root position chords tend to feel grounded when played, but chord inversions produce movement within the music that is create. Voicing refer to the arrangement of the notes in a chord. Closed position voicing involve the chord notes being close together, while open position voicing involve spreading the chord notes out.

Drop-two voicing refers to lowering the second highest note of a chord by one octave and is often used in jazz music. Finally, doubling a note in a chord, such as the root or third note of a chord, create the chord with less variation in its chord tones. Slash chords are used as a shorthand notation to represent chord inversions.

A slash chord indicate the chord to be played followed by a slash and the note that should be the lowest note in that chord. For example, a C/E chord indicate that a C major chord is to be played with an E in the bass. The placement of the E in the bass indicate that the chord is in first inversion.

Using slash chords in music allow musicians to communicate with bass players and guitarists. It allows the musicians to understand which note should be the lowest note in the chord. For instance, root position indicate that the root note is used in the chord, first inversion indicate that the third is used in the chord, second inversion indicate that the fifth is used in the chord, and third inversion indicate that the seventh is used in the chord.

Chord inversions are often used to allow for smooth transitions from one chord to the next. For example, playing a G7 chord with B in the bass will lead smoothly into a C chord. Playing a Dm chord with F in the bass will lead smoothly into a G7 chord.

However, care must be taken to ensure that the span of the chord does not become too narrow. A span between the lowest and highest notes of a chord should not be less than twelve to sixteen semitones to ensure that the chord sounds clear and accessible to the listeners. There are different ways to play chords with voicing style that offer a certain musical texture but allow the musicians to play the chord more easily.

For example, closed voicing works best for solo piano musicians. Open voicing works best for big bands so that the horn players can play around the chord. Drop-two voicing is often used for jazz music to allow the chord to have a classic sound without sounding cluttered to the listeners.

However, the musician must have control over the target span of the chord, especially when playing music for an ensemble of instrument. In identifying inversions for chords, the musician must identify the lowest tone of the chord to determine the inversion. For instance, a root position chord will always use the root note of the chord in the bass.

A first inversion chord will always use the third of the chord in the bass; many musicians make mistake here because they do not identify the third note of the chord as the note in the bass for a first inversion chord. Seventh chords only have three inversions in the chord, as there is no such thing as a fourth inversion of a seventh chord. Using the chord inversion formula allow musicians to create musical progression that use the chords to move smoothly from one note of the chord to the next.

Inversion Calculator for Music Theory

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