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The problem it solves
Sometimes you don't want the firm, definitive close of V→I, but a softer, calmer or more contemplative ending. You need a cadence that returns to the tonic without the strong push of the dominant.
Detailed theory
Key idea
The plagal cadence is IV → I: subdominant to tonic.
It sounds softer than the authentic (V→I) because there is no leading tone pulling to the tonic; this is why it is called the "Amen" cadence.
Understand it
The plagal cadence links the subdominant chord (IV) with the tonic chord (I). In C major it is F major → C major. It is the harmonic gesture heard at the end of many hymns over the word "A-men".
The key difference from the authentic cadence is the leading tone. The dominant (V) contains the leading tone (the seventh degree), which sits a semitone from the tonic and pulls strongly to it; that is why V→I sounds inevitable and conclusive. The subdominant (IV), by contrast, does not contain the leading tone, so IV→I reaches the tonic without that pull: the result is a softer, more open and less emphatic ending.
In degrees it is written IV → I. Both chords are major in a major key, so they are notated in uppercase. The plagal often appears as a confirmation after an authentic cadence, extending the ending with a restful gesture.
Think of it as two ways of saying goodbye: the authentic cadence (V→I) is a firm full stop; the plagal (IV→I) is more of a calm sigh that closes without raising its voice.
Tension curve
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The tension curve of the plagal: the subdominant (IV) has moderate tension that settles gently onto the tonic (I), without the sharp pull of the leading tone.
How to recognise it
How it's written
Look at the end of the phrase for the move IV → I (in C major, F → C). Both uppercase because they are major chords. If the penultimate chord is the fourth degree and not the fifth, it is a plagal cadence, not an authentic one.
How it feels
Listen to how the last step returns home without sharp tension: there is no note "asking" to resolve, just a gentle settling. It is the characteristic sound of the closing "Amen".
Common mistake
Confusing the plagal (IV→I) with the authentic (V→I): the plagal starts from the subdominant, not the dominant.
Expecting the plagal to give the same strong sense of closure as V→I; the plagal is deliberately softer.
Try it
Play F major and then C major and notice the soft return, without the pull of the leading tone.
Compare: play G→C (authentic) first and then F→C (plagal) and notice how the second arrives more gently.
On the instrument
Chord progression
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The plagal cadence in C major: the subdominant (IV = F major) returns to the tonic (I = C major). F → C, the "Amen" gesture.
Where it's used
- Closing softly
- Ending a piece with a gentle, restful return instead of a firm finish.
- Extending an ending
- Adding an "Amen" IV→I gesture after an authentic cadence to confirm the close.
- Creating modal or restful colour
- Giving hymns and contemplative passages a return to the tonic without the tension of the leading tone.
Examples
Chord progression
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A whole plagal cadence within a phrase: I – IV – I. The final IV → I gives the soft "Amen" close.
Exercises
Is it a plagal cadence?
Decide whether the sequence ends with the move IV → I.
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0/7 answeredQuestion 1/7
Which two chords form a plagal cadence?