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Harmony

Perfect cadence

The perfect cadence is the strongest closing formula of tonality: dominant and tonic, both in root position, with the root of the tonic in the soprano. It sounds final because all the voices come to rest.

Sequence
V (or V⁷) – I
Both chords
in root position
Soprano at the close
root of the tonic
In C major
G – C, C on top
Also called
perfect authentic cadence

All voices arrive

The authentic cadence, the sequence dominant–tonic, can sound more or less final. The perfect cadence is its strongest form. It has two conditions: both chords are in root position, so the root lies in the bass, and in the soprano lies the root of the tonic. In the example the melody runs from the leading tone B to the C that bass and upper voice reach together.

I – IV – V – I in C major: right hand (three upper voices)

4 4

The upper voices in four-part writing. The dominant and the tonic are marked. The leading tone B in the soprano rises to the root C, and in the last chord this root lies on top.

The bass to go with it: left hand

4 4

The bass goes C–F–G–C. The step from dominant to tonic is a fifth downwards (or fourth upwards), the bass formula of the authentic cadence.

In the glossary: Full close (authentic cadence) · Dominant · Tonic

The difference from the imperfect cadence

If in the final chord the third or the fifth lies on top, or a chord is in inversion, residual tension remains that invites you to go on listening. That is called imperfect. Whether a close sounds “final” depends not on the chords alone but equally on the position of the upper voice.

CIFIVGVCI
PerfectImperfect
Chordsboth in root positionan inversion possible
Soprano in the final chordrootthird or fifth
Effectfinalwith residual tension

In a movement

In tonal music the cadence at the end of a movement is mostly shaped as a perfect cadence, often strengthened by a preparation, such as a subdominant, a six-four chord or an extended closing formula in the coda (see Final cadence). Internal closes within a piece, by contrast, are often imperfect or end on the dominant, as a half cadence. The detailed account of all closing formulas is under Cadences.

Practice: At the piano play the close once with the root C on top and once with the third E on top. Hear how the second ending sounds more open. Begin the sequence with the subdominant and lead the upper voices so that the B in the soprano rises to C.