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Harmony

Plagal cadence

The plagal cadence leads from the subdominant to the tonic: in major IV–I, in minor iv–i. It sounds softer and more solemn than the authentic cadence because it lacks the urgent leading tone. Because it is so often used at the end of hymns it is also called the Amen cadence.

Progression in major
IV – I
Progression in minor
iv – i
In C major
F – C
In A minor
Dm – Am
Nickname
Amen cadence

The soft close

The page Cadences describes the plagal cadence in its third section: it leads from the subdominant to the tonic, sounds softer and more solemn than the authentic cadence, without the urgent leading tone, and because of its frequent use at the end of hymns is also called the “Amen cadence”.

CloseMajorMinorEffect
Authentic cadenceV – IV – istrongest, final close; the leading tone pulls into the root
Plagal cadenceIV – Iiv – isofter, more solemn, without the urgent leading tone
FIVCI
DmivAmi

The comparison with the authentic cadence is instructive: in the authentic cadence the leading tone of the dominant pulls into the root, in the plagal cadence that pull is missing.

GVCI

Where it comes from

According to the page Diatonic chords the subdominant is degree IV: it leads away from the tonic and opens up the space. The plagal cadence simply reverses this movement and brings the opened space back home. In the basic course T – S – D – T the subdominant comes before the dominant; here the dominant is left out.

On the page A minor the plagal cadence Dm → Am appears as a softer variant without leading tone next to the authentic cadence E → Am.

Try it yourself: After a song in C major, play F – C once more at the end like an “Amen”. Sing the word along: the ending sounds calmer than if you close with G – C.