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Music Theory · Chords

Chord Inversions

Same chord, different bass note. Inversions are the secret behind smooth voice leading, walking bass lines, and the difference between a piece that sounds choppy and one that flows.

What is a chord inversion?

A chord inversion is simply the same chord with a different note in the bass. A C major triad contains the notes C, E, and G. When C is the lowest note, the chord is in root position. When E is the lowest, it's in first inversion. When G is the lowest, it's in second inversion. Same three notes, three different sonorities.

Inversions exist because the bass note carries enormous weight in tonal music. The ear locks onto the lowest pitch and uses it to interpret everything above. Move the root out of the bass and the chord takes on a different character — lighter, more transitional, less “at home.” Composers exploit this constantly: a root-position chord feels grounded; a first-inversion chord feels like it's on the move.

Triads have three positions (root, 1st, 2nd) because they have three notes. Seventh chords have four positions (root, 1st, 2nd, 3rd) because they have four. Larger chords (9ths, 11ths, 13ths) technically have more inversions, but voicings rarely follow strict inversion rules at that level — the extensions usually float above whatever bass note works best.

The big idea

The bass note defines the inversion. If you can name the lowest note and compare it to the chord root, you can name any inversion. That's the whole trick.

Triad inversions — C major as the example

A C major triad has three notes: C (root), E (3rd), and G (5th). Click through the three positions and watch which note sits in the bass. The color coding stays consistent — red is always the root, blue is the 3rd, green is the 5th — even when their order changes.

⁵₃Root PositionBass: C · Notes: C – E – G
C
D
E
F
G
A
B
C
D
E
F
G
A
B
RootThirdFifth

The root is in the bass. Notes stack in thirds from the bottom: C – E – G. This is the most stable, "home base" sound of the chord. Roman numerals without a figured-bass number always mean root position.

Notice that in second inversion (G – C – E), the root is sandwiched between the 5th below and the 3rd above. Classical theory treats this 6/4 chord as unstable — the perfect fourth between the bass and the root tugs the ear toward resolution. That's why the “cadential 6/4” is one of the most recognizable harmonic gestures in tonal music: a second-inversion I chord that resolves into a root-position V before landing on I.

Seventh-chord inversions — G7 as the example

Add a 7th and you get a fourth note to put in the bass — and a fourth possible inversion. G7 contains G, B, D, and F. The dominant 7th is the workhorse of tonal harmony, so it's the canonical example for 7th-chord inversions.

Root PositionBass: G · Notes: G – B – D – F
C
D
E
F
G
A
B
C
D
E
F
G
A
B
RootThirdFifthSeventh

Root in the bass. A G7 chord stacked as G – B – D – F. The standalone "7" symbol always implies root position.

The dominant 7th in third inversion (V⁴₂) has a special voice-leading destiny: the bass note (the 7th) almost always resolves down by step. In a G7 → C progression, third-inversion G7 puts F in the bass, and that F slides down to E in the resolving C chord — giving you a built-in chromatic bass line. That's why baroque and classical composers loved the 4/2 chord for chromatic descent.

How to identify an inversion

The procedure is the same whether you're reading a score or analyzing a chord you just played:

  1. Find the bass note. Look at the lowest sounding pitch — usually the lowest note on the bass staff or the left-hand part.
  2. Identify the chord. Spell the chord and note its root.
  3. Compare the bass to the root. Bass = root → root position. Bass = 3rd → first inversion. Bass = 5th → second inversion. Bass = 7th → third inversion (only possible for 7th+ chords).
  4. Check the figured-bass numbers (if you have a Roman-numeral analysis). They'll confirm your answer — see the cheat sheet below.

Figured bass cheat sheet

Figured-bass numbers attach to Roman numerals to tell you exactly which inversion is in use. They show up everywhere in baroque and classical analysis. Memorize this table once and you'll read inversions instantly.

Chord typeInversionBass noteFigured bassExample (in C)
TriadRootRoot(none) or ⁵₃I
1st3rdI⁶
2nd5th⁶₄I⁶₄
SeventhRootRootV⁷
1st3rd⁶₅V⁶₅
2nd5th⁴₃V⁴₃
3rd7th⁴₂V⁴₂

Why inversions matter — voice leading

If you played every chord in root position, every chord change would force the entire hand to leap. The result is choppy, mechanical, and exhausting to play. Inversions let you choose which note sits in the bass, which means you can keep voices close — sometimes barely moving at all — even as the harmony changes underneath them.

Consider the cliché I → IV → V → I progression in C major. In root position, your right hand jumps from C–E–G to F–A–C to G–B–D to C–E–G — big, disconnected leaps. Now try it with inversions: C–E–G → C–F–A → B–D–G → C–E–G. Three of the four notes barely move; the top voice just walks. That second version is what good voice leading sounds like.

This is also why jazz pianists, gospel keyboardists, and classical accompanists all live inside inversions. A walking bass line is, in essence, a sequence of well-chosen inversions. The same chord progression sounds completely different depending on which notes the bassist chooses to land on.

Slash chords — the pop notation for inversions

Pop and jazz chord charts don't use figured-bass numbers. Instead they use slash chords: the chord name, a slash, then the bass note. C/E means a C major triad with E in the bass — exactly the same thing as I⁶ in classical analysis.

  • C = C major in root position
  • C/E = C major, first inversion (E in bass)
  • C/G = C major, second inversion (G in bass)
  • G7/B = G7 in first inversion (B in bass)
  • G7/F = G7 in third inversion (F in bass)

Slash notation is more flexible because it can also specify a non-chord bass note — something that isn't part of the chord at all. C/D puts D under a C triad, which technically makes it a different chord entirely (a C9sus, or just “C over D”). That ambiguity is a feature, not a bug — pop arrangers use it to invent bass lines without committing to a strict harmonic label.

Frequently asked questions

How many inversions does a chord have?
One fewer than its number of notes. A triad (3 notes) has root position plus 2 inversions = 3 positions total. A seventh chord (4 notes) has 4 positions. A 9th chord (5 notes) technically has 5, but in practice the upper extensions float above whatever bass note works best — inversion labels stop being useful past 7th chords.
What is the difference between a chord inversion and a voicing?
An inversion is specifically about which chord tone sits in the bass — root, 3rd, 5th, or 7th. A voicing is a broader term that covers the entire arrangement of notes across the hands and octaves, including which notes are doubled, omitted, or replaced. Every voicing has an inversion, but not every voicing change is an inversion change.
Why do classical theorists treat the 6/4 chord as unstable?
Because the second-inversion triad puts the root a perfect fourth above the bass, and the perfect fourth above the bass is treated as a dissonance in strict counterpoint. The ear hears the bass note as wanting to resolve down by step. That tension is exactly why the cadential 6/4 → V → I progression sounds so satisfying.
Does C/E mean the same thing as C major first inversion?
Yes — they are two notations for the same sound. Classical analysis writes I⁶ in C major; a jazz or pop chart writes C/E. The slash notation is more flexible because it can also specify a non-chord bass note (like C/D), but for the standard inversions the two systems describe identical chords.
Do I need to memorize figured-bass numbers?
If you study classical music or theory exams, yes — they appear in every Roman-numeral analysis from Bach chorales through Brahms. If you play jazz or pop, you can mostly get by with slash-chord notation. But understanding both takes about an hour and pays off forever, since theory texts and educational materials use figured bass universally.
Can I invert any chord, even diminished or augmented?
Yes. Inversion is purely about which chord tone is in the bass — the chord quality (major, minor, diminished, augmented, dominant 7th, half-diminished, etc.) is independent. The fully diminished 7th chord is a special case: because it is symmetrical (built entirely of minor thirds), all four of its inversions sound nearly identical, just with different enharmonic spellings.

Related lessons

Theory · Foundations
Triads
Major, minor, diminished, and augmented — the three-note chords that get inverted first.
Theory · Chords
Seventh Chords
Four-note chords that unlock the fourth inversion. Where 6/5, 4/3, and 4/2 figures live.
Theory · Harmony
Roman Numerals
The notation system where figured-bass numbers attach. Read I⁶ and V⁴₂ at a glance.
Theory · Harmony
Cadences
The cadential 6/4 → V → I is the most famous use of second inversion in tonal music.
Tool
Chord Finder
Play any three or four notes and the finder identifies the chord and its inversion.
Theory · Foundations
Anatomy of a Chord
The building blocks — root, 3rd, 5th, 7th — that the inversion system rearranges.