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Chords & Harmony

Chord Inversion

Definition

A chord inversion is an arrangement of a chord with a note other than the root in the bass. In first inversion the third is lowest, in second inversion the fifth; seventh chords also have a third inversion.

A chord is inverted when a note other than its root is in the bass. The chord keeps its name and its root; only the lowest note changes. C–E–G with E at the bottom is still a C major chord, now in first inversion.

Inversions of a triad

A triad has three notes, so it has three positions:

  • Root position: the root in the bass (C–E–G). Figured bass 5/3, usually written without figures: I.
  • First inversion: the third in the bass (E–G–C). Figures 6/3, shortened to 6: I6. Chord symbol C/E.
  • Second inversion: the fifth in the bass (G–C–E). Figures 6/4: I6/4. Chord symbol C/G.

The figures count intervals above the bass. In E–G–C, C is a sixth above E, which is why a first-inversion triad is often called a "six chord".

Treble staff in 4/4 with three whole-note chords: C4 E4 G4 labeled C and I; E4 G4 C5 labeled C/E and I6; G4 C5 E5 labeled C/G and I6/4.
C–E–G in root position (I), first inversion with E in the bass (I6, C/E) and second inversion with G in the bass (I6/4, C/G).
C major in first inversion: E, G and C, with E at the bottom.

Inversions of a seventh chord

A seventh chord has four notes, so it has a third inversion as well, with the seventh in the bass. For G7 in C major:

  • Root position, G in the bass: V7
  • First inversion, B in the bass: V6/5
  • Second inversion, D in the bass: V4/3
  • Third inversion, F in the bass: V4/2 (sometimes shortened to V2)
Treble staff in 4/4 with four whole-note chords: G4 B4 D5 F5 labeled G7 and V7; B4 D5 F5 G5 labeled G7/B and V6/5; D4 F4 G4 B4 labeled G7/D and V4/3; F4 G4 B4 D5 labeled G7/F and V4/2.
G7 (G–B–D–F) with G, B, D and F in the bass in turn: V7, V6/5, V4/3 and V4/2 in C major. In each inversion F and G sit side by side, a second apart.

Why composers invert chords

Inversions let the bass move by step instead of leaping: C – G/B – Am gives the bass line C–B–A. They lighten the sound (a first-inversion chord feels less final than root position), smooth out voice leading, and keep a phrase from sounding finished too early. The second inversion is a special case: the fourth above its bass makes it unstable, so it usually has a particular job to do (see six-four chord).

How to name an inversion

Find the root by stacking the notes in thirds, then ask which chord member is in the bass: root, third, fifth or seventh. The order of the upper notes does not matter.

Practice with Triads & their inversions, Identify the triads & inversions and Identify the dominant 7ths & inversions, then by ear with Ear Training: Triad Inversions.

Common questions

How do you tell which inversion a chord is in?

Stack the notes in thirds to find the root, then look at the bass. Root in the bass: root position. Third: first inversion. Fifth: second inversion. Seventh: third inversion.

What does C/E mean?

A C major chord with E in the bass, its first inversion. The letter after the slash is the bass note; see slash chord.

Is a chord inversion the same as an interval inversion?

No. A chord inversion changes which chord note is in the bass. An interval inversion moves the lower note of an interval up an octave, turning a third into a sixth or a fifth into a fourth.

Practice it: free worksheets