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Cadences

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Common Chord ProgressionsChord Inversions→→Authentic and Plagal CadencesBinary and Ternary Form+10 more
cadences authentic half plagal deceptive phrase resolution

Core Idea

A cadence is a harmonic formula at the end of a musical phrase that creates a sense of rest or continuation. The four main cadence types are: authentic (V–I, the strongest conclusion), half cadence (ends on V, creating tension), plagal (IV–I, the 'Amen' cadence), and deceptive (V resolves to vi instead of I, subverting expectation). A perfect authentic cadence (PAC) requires both V and I in root position, with the melody ending on the tonic — it is the most conclusive possible ending. Cadences punctuate musical form the way punctuation marks punctuate sentences.

How It's Best Learned

Listen to the end of phrases in Bach chorales and identify the cadence type before checking. Compose four-measure phrases that end with each cadence type to feel how each creates a different degree of closure.

Common Misconceptions

Explainer

Cadences are the moments where harmonic motion pauses — the equivalent of punctuation in language. Just as you can distinguish a question from a statement by the feel of its ending, trained listeners can hear whether a phrase has ended conclusively, tentatively, or with deliberate surprise. The four cadence types encode four different degrees of closure.

The most conclusive ending is the perfect authentic cadence (PAC): V to I, both chords in root position, soprano ending on the tonic. Every element reinforces finality — the dominant's tension resolves, the bass lands on the most stable note, and the top voice arrives at the tonal center. Remove any one element and the closure weakens, giving you an imperfect authentic cadence instead. This distinction seems pedantic until you realize it governs entire sections of a piece: a PAC closes a period; an imperfect authentic cadence often closes only a phrase within one.

The half cadence deliberately leaves the listener suspended. By landing on V and stopping there, the phrase creates expectation without satisfying it. The ear knows that V requires I, so you brace for what comes next. This is why half cadences so often appear at the midpoint of a period — they divide the music into an open question (antecedent) and a closed answer (consequent). Hearing a half cadence is hearing a promise.

The plagal cadence (IV–I) has a softer, more hymn-like quality than the authentic cadence — it is the 'Amen' at the end of a hymn. It resolves, but without the tension-discharge of V–I, since IV is not as harmonically tense as V. The deceptive cadence (V–vi) is the composer's sleight of hand: your ear expects I after V and gets vi instead. Rather than being a mistake, this creates surprise and extension — the phrase cannot close here, so it must continue. Beethoven, Bach, and countless others use it to delay a cadence the listener has been anticipating for measures.

When listening to music analytically, try to identify cadences without looking at the score. Can you hear the difference between a half cadence and a deceptive one? Both feel unresolved, but the deceptive cadence also feels surprising — you expected closure and were redirected. Training yourself to feel these distinctions in real time is the goal of ear training on cadences.

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Prerequisite Chain

Understanding Zero → The Number Zero → Counting to Five → Counting to 10 → Counting to 20 → Counting a Set of Objects Up to 20 → Cardinality: The Last Number Counted → Matching Numerals to Quantities → Subitizing Small Quantities → Addition Within 10 → Number Bonds to 10 → Addition Within 20 → Doubles and Near Doubles → Doubles Facts Within 10 → Near Doubles Facts Within 20 → Mental Math Strategies for Addition → Mental Math: Adding and Subtracting Tens → Addition Within 100 → Repeated Addition as Multiplication → Multiplication as Equal Groups → Multiplication: Arrays → Basic Multiplication Facts (0s, 1s, 2s, 5s, 10s) → Multiplication Facts Within 100 → Division as Equal Sharing → Division as Grouping (Measurement Division) → Division: Grouping (Repeated Subtraction) Model → Division: Fair Sharing Model → Division as Equal Sharing → Division as Grouping → Basic Division Facts → Division Facts Within 100 → Multiplication and Division Fact Families → Relationship Between Multiplication and Division → Division Facts as Inverse of Multiplication → Remainders and Quotients in Division → Division Word Problems → Multi-Step Word Problems → Solving Multi-Step Word Problems → Multiplication Word Problems → Division Word Problems → Introduction to Long Division → Factors and Multiples → Prime and Composite Numbers → Equivalent Fractions → Relating Fractions and Decimals → Decimal Place Value → Integers and the Number Line → Comparing and Ordering Integers → Absolute Value → Adding Integers → Subtracting Integers → Multiplying Integers → Dividing Integers → Unit Rates → Proportions → Percent Concept → Converting Between Fractions, Decimals, and Percents → Operations with Rational Numbers → Two-Step Equations → Solving Multi-Step Equations → Equations with Variables on Both Sides → Literal Equations → Slope-Intercept Form → Point-Slope Form → Writing Linear Equations → Parallel and Perpendicular Line Slopes → Graphing Linear Equations → Piecewise Functions → Step Functions → Composition of Functions → Inverse Functions → Radical Functions and Graphs → Rational Exponents → Exponential Functions and Graphs → Logarithms Introduction → Pitch and Frequency → The Staff and Clefs → Note Names and Octaves → Accidentals: Sharps, Flats, and Naturals → Semitones and Whole Steps: Interval Building Blocks → Intervals: Half Steps, Whole Steps, and Interval Numbers → Interval Counting and Naming → Interval Quality: Major, Minor, Perfect, Augmented, Diminished → Ear Training: Interval and Pitch Identification → Pitch Memory and Short-Term Retention → Interval Recognition by Ear → Perfect vs. Diminished vs. Augmented Intervals → Tritone and Diminished Intervals → Tritone and Dissonant Intervals by Ear → Perfect Intervals by Ear → Major and Minor Thirds by Ear → Triad Quality: Diminished and Augmented → Seventh Chord Construction → Seventh Chords → Chord Inversions → Diatonic Harmony and Roman Numeral Analysis → Common Chord Progressions → Cadences

Longest path: 98 steps · 530 total prerequisite topics

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