Cadences

Music theory · Tonal harmony · Level 3 · 14 min

A cadence is the harmonic formula that ends a musical phrase, just as punctuation ends a written sentence. Some are full stops, others commas or question marks.

CadenceProgressionEffect
Perfect authentic cadence (PAC)V(7) → I, both in root position, tonic in the top voicefull stop
Imperfect authentic cadence (IAC)V → I with an inverted chord, or without the tonic on topsemicolon
Half cadence… → V (stopping on the dominant)comma, question
Plagal cadenceIV → I“Amen”, settling
Deceptive (interrupted) cadenceV → visurprise, keeps going

Listen to them in order: perfect (bar 1), half (bar 2), plagal (bar 3), deceptive (bar 4).

M:4/4
L:1/4
%%staves {RH LH}
V:RH clef=treble
V:LH clef=bass
K:C
[V:RH] "G7"[FB]2 "C"[Ec]2 | "C"[Ec]2 "G"[DB]2 | "F"[Fc]2 "C"[Ec]2 | "G7"[FB]2 "Am"[Ec]2 |]
[V:LH] "_V7"[G,D]2 "_I"[C,C]2 | "_I"[C,G,]2 "_V"[G,,G,]2 | "_IV"[F,A,]2 "_I"[C,G,]2 | "_V7"[G,D]2 "_vi"[A,C]2 |]

The deceptive cadence, or the art of surprise

After G7 the ear expects C… and gets A minor. The upper notes move exactly as in a perfect cadence (B rises to C, F falls to E); only the bass goes to A instead of C. Composers use it to extend a phrase: the real perfect cadence arrives a few bars later.

A cadence specific to minor

The Phrygian half cadence (iv6 → V in minor, e.g. D minor/F → E in A minor) moves the bass down a semitone to the dominant. You hear it constantly in Baroque music, at the end of a slow movement leading into a fast one.

Terminology trap: in British usage, an imperfect cadence means… a half cadence! The American imperfect authentic cadence is the French « cadence imparfaite ». Be careful when reading books from different traditions.
By ear: sing the last bass note. If it's the tonic after the dominant: perfect or imperfect authentic. If it's the dominant: half cadence. If it's the 6th degree: deceptive. If the penultimate chord is IV: plagal.

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