HarmonyIntermediate4 min read

Dominant seventh chord: inversions and regular resolutions

Definition

The dominant seventh chord (V7) is the major triad on the V degree with the addition of a minor seventh: in C major G–B–D–F. It contains the tritone B–F between the leading tone and the fourth degree, which asks to resolve to the tonic: for this reason it is the most directional chord of the key. The same chord exists identically in C minor, where it is obtained with the leading tone of the harmonic minor.

The notes with tendency

Note of the V7In CRegular motion
RootGto C (bass) or stays G (inner voices)
Third (leading tone)Brises to C
FifthDfalls to C or rises to E
SeventhFfalls to E

Root position: complete and incomplete

  • Complete V7 → incomplete I: if the V7 has all four notes, resolving regularly the tonic will have the root tripled and the third, without fifth (C–C–C–E).
  • Incomplete V7 → complete I: omitting the fifth of the V7 and doubling the root (G–G–B–F) gives a complete tonic.
  • In the inner voices the leading tone can fall to the fifth of the tonic (B → G) to complete the chord; in the soprano it must rise.

The inversions

InversionFigureBass in CTypical resolution
FirstV6/5B→ I (the bass rises to C)
SecondV4/3D→ I (bass D → C) or I6 (bass D → E)
ThirdV4/2F→ I6 (the bass falls to E)

The inversions are used complete, with all four notes.

Permitted exception: in the V4/3 → I6 motion, with the bass rising D → E, the seventh may rise F → G, because it moves in parallel tenths with the bass and avoids doubling the third.

Practical rules

  • The seventh is prepared (same note in the preceding chord, typical of the Baroque style) or enters by step or as a passing note (G–F in the soprano over the V).
  • The seventh in the bass (V4/2) forces the bass to fall: after a V4/2 comes almost always a I6.
  • In minor the leading tone must be altered (B natural in C minor, G# in A minor).
  • If another voice takes the resolution note of the seventh (for example the bass goes to E in V7 → I6), the seventh may rise.

Common mistakes

  • Making the seventh rise in root position.
  • Doubling the leading tone or the seventh.
  • Leaping to the seventh from above by a wide leap without preparation.
  • Writing a complete V7 that resolves to a complete tonic: inevitably some voice will make an incorrect leap or parallel fifths will arise.

Examples

  • Bach, Prelude in C major (Well-Tempered Clavier, I): in the third bar a G7 in first inversion (V6/5, B in the bass) resolves to the C of the next bar.
  • Mozart, “Eine kleine Nachtmusik”: the opening theme arpeggiates the tonic chord and then the dominant seventh chord.
  • Strauss, “The Blue Danube”: the waltz theme alternates tonic and dominant seventh.
  • Folk and country: very many songs rest on just I, IV, and V7.

How to use it in composition

  • The inversions of the V7 allow stepwise bass lines (C–B–C with V6/5, C–D–E with V4/3, F–E with V4/2): use them to avoid leaps in the bass.
  • For a strong close use the V7 in root position with the seventh falling to the third of the tonic.
  • In pads and pop arrangements, the F → E descent (seventh → third) is the most effective link between dominant and tonic.

Exercise

  1. Write in A major: I – V6/5 – I – V4/3 – I6 – IV – V4/2 – I6 – V7 – I.
  2. Resolve a complete V7 and an incomplete one in four voices in Eb major.
  3. In D minor write the four inversions of the V7 with their resolutions.

Connections

Seventh chords; The qualities of seventh chords; Perfect and imperfect authentic cadence; Irregular resolutions of the dominant; Secondary dominants; The jazz ii–V–I.

Sources

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