Third inversion

F major chord

Root position (F) Play^ⓘ

First inversion (A⁶) Play^ⓘ

Second inversion (C⁶
₄) Play^ⓘ

Third inversion of F7 chord (E^♭⁴
₂) Play^ⓘ

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The third inversion of a seventh chord is the voicing in which the seventh of the chord is the bass note and the root a major second above it. In the third inversion of a G-dominant seventh chord, the bass is F — the seventh of the chord — with the root, third, and fifth stacked above it (the root now shifted an octave higher), forming the intervals of a second, a fourth, and a sixth above the inverted bass of F, respectively. In figured bass, it is referred to as a ⁴
₂ chord.

${ \override Score.TimeSignature #'stencil = ##f \override Score.SpacingSpanner.strict-note-spacing = ##t \set Score.proportionalNotationDuration = #(ly:make-moment 1/4) \time 4/4 \relative c' { <g b d f>1^\markup { \column { "Root" "position" } } <b d f g>1^\markup { \column { "First" "inversion" } } <d f g b>1^\markup { \column { "Second" "inversion" } } \once \override NoteHead.color = #blue <f g b d>1^\markup { \column { "Third" "inversion" } } } }$

According to The American History and Encyclopedia of Music:

Inversions are not restricted to the same number of tones as the original chord, nor to any fixed order of tones except with regard to the interval between the root, or its octave, and the bass note, hence, great variety results.^[1]

Note that any voicing above the bass is allowed. A third inversion chord must have the seventh chord factor in the bass, but it may have any arrangement of the root, third, and fifth above that, including doubled notes, compound intervals, and omission (F-G-B-D, F-B-D-G', F-G-B-D-G', etc.)

References

^ Hubbard, William Lines (1908). The American History and Encyclopedia of Music, Vol. 10: Musical Dictionary, p.103. Irving Squire: London. [ISBN unspecified]. Also at the HathiTrust Digital Library

Chords

By form

Triad	Major Minor Augmented Diminished Suspended
Seventh	Leading-tone Major Minor Dominant Dominant seventh flat five Diminished Half-diminished Diminished major Minor-major Augmented major Augmented minor Altered seventh Nondominant Harmonic seventh
Extended	Ninth Eleventh Thirteenth Upper structure Dominant 7♯9 Polychord Tone cluster
Added / omitted	Sixth Augmented sixth Lydian Seven six
Specific	Alpha Bridge Complexe sonore Dream Elektra Farben Grandmother Magic Mystic Northern lights Petrushka Psalms So What Tristan Viennese trichord
General	Mixed interval Secundal Tertian Quartal Synthetic chord Tetrad

By function

Diatonic	Tonic Supertonic Mediant Subdominant Dominant Submediant Leading-tone / Subtonic
Altered	Approach Borrowed Chromatic mediant Neapolitan Passing
Secondary	Secondary dominant Secondary leading-tone Secondary supertonic
Other	Common Contrast Primary triad Subsidiary Substitute

Techniques

Other

Arpeggio
Chord names and symbols
List of chords
Factor

v t e Voicing in music
Blind octave Block chord Close and open harmony Common tone Doubling Root position and Inversion (1st, 2nd, 3rd, and higher inversions) Octave Voice Voice leading