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Harmonic Function: Tonic, Subdominant, and Dominant

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Building Diatonic Chords from ScalesHarmonic Function BasicsCadence Types: Authentic, Plagal, Half, and DeceptiveHarmonic Progression Patterns in Tonal Music
harmony function analysis

Core Idea

Harmonic function classifies chords by their role in creating tonal motion: tonic chords (I, vi) establish home; subdominant chords (IV, ii) create motion away from tonic; dominant chords (V, vii°) create tension and pull toward resolution. Understanding function is essential for analyzing progressions and composing coherent harmonic sequences.

How It's Best Learned

Analyze chord progressions in songs and classical pieces, identifying functional roles. Compose progressions using functional relationships rather than random chord choices.

Common Misconceptions

Function is not determined by Roman numeral alone—a V chord functioning as a substitute tonic in deceptive cadence is subdominant in function, not dominant.

Explainer

You know from diatonic chord construction how to build the seven chords of a key by stacking thirds. You know from harmonic function basics that chords can be grouped by their behavior. This topic gives you the full vocabulary to analyze and compose with those categories. The three functions — tonic, subdominant, and dominant — describe not what a chord is built from, but what it *does* in the context of a key.

Tonic function is stability: it's home. The I chord is the clearest expression of tonic, but the vi chord (built on the sixth scale degree) shares enough pitches with I to feel like a weaker or "colored" version of rest — this is why V–vi (the deceptive cadence) works at all. Subdominant function is departure: these chords create a sense of moving away from tonic without yet demanding resolution. The IV chord is the prototype; the ii chord carries similar function because it contains three of the same pitches as IV and has a similar acoustic weight. Neither IV nor ii creates strong tension — they create directed motion, a sense of the music leaving home and heading somewhere. Dominant function is tension: these chords pull hard toward resolution. The V chord owes its pull partly to the leading tone (the 7th scale degree, one semitone below the tonic), which creates a strong upward pressure. The vii° chord contains the same leading tone plus a tritone, making it even more dissonant and urgent.

The power of functional thinking is that it reveals how most tonal progressions are structured around a single underlying drama: departure from home, accumulation of tension, return. The classic I–IV–V–I tells this story in four chords. But functional categories also explain harmonic substitution and exception. A deceptive cadence (V–vi) works because vi can temporarily substitute for I — it shares two of I's three notes and provides a moment of rest that isn't full resolution. The extremely common ii–V–I progression (prevalent in jazz and classical music alike) works because ii prepares the dominant with directed departure before V delivers the tension that resolves to I. When analyzing any chord progression, train yourself to ask not "what Roman numeral is this?" but "what is this chord *doing*?" — that question is where harmonic understanding actually lives.

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Prerequisite Chain

Understanding ZeroThe Number ZeroCounting to FiveCounting to 10Counting to 20Counting a Set of Objects Up to 20Cardinality: The Last Number CountedMatching Numerals to QuantitiesSubitizing Small QuantitiesAddition Within 10Number Bonds to 10Addition Within 20Doubles and Near DoublesDoubles Facts Within 10Near Doubles Facts Within 20Mental Math Strategies for AdditionMental Math: Adding and Subtracting TensAddition Within 100Repeated Addition as MultiplicationMultiplication as Equal GroupsMultiplication: ArraysBasic Multiplication Facts (0s, 1s, 2s, 5s, 10s)Multiplication Facts Within 100Division as Equal SharingDivision as Grouping (Measurement Division)Division: Grouping (Repeated Subtraction) ModelDivision: Fair Sharing ModelDivision as Equal SharingDivision as GroupingBasic Division FactsDivision Facts Within 100Multiplication and Division Fact FamiliesRelationship Between Multiplication and DivisionDivision Facts as Inverse of MultiplicationRemainders and Quotients in DivisionDivision Word ProblemsMulti-Step Word ProblemsSolving Multi-Step Word ProblemsMultiplication Word ProblemsDivision Word ProblemsIntroduction to Long DivisionFactors and MultiplesPrime and Composite NumbersEquivalent FractionsRelating Fractions and DecimalsDecimal Place ValueIntegers and the Number LineComparing and Ordering IntegersAbsolute ValueAdding IntegersSubtracting IntegersMultiplying IntegersDividing IntegersUnit RatesProportionsPercent ConceptConverting Between Fractions, Decimals, and PercentsOperations with Rational NumbersTwo-Step EquationsSolving Multi-Step EquationsEquations with Variables on Both SidesLiteral EquationsSlope-Intercept FormPoint-Slope FormWriting Linear EquationsParallel and Perpendicular Line SlopesGraphing Linear EquationsPiecewise FunctionsStep FunctionsComposition of FunctionsInverse FunctionsRadical Functions and GraphsRational ExponentsExponential Functions and GraphsLogarithms IntroductionPitch and FrequencyThe Staff and ClefsNote Names and OctavesAccidentals: Sharps, Flats, and NaturalsSemitones and Whole Steps: Interval Building BlocksIntervals: Half Steps, Whole Steps, and Interval NumbersInterval Counting and NamingInterval Quality: Major, Minor, Perfect, Augmented, DiminishedMajor ScalesMinor Scales: Natural, Harmonic, and MelodicRelative Major and Minor KeysParallel and Relative Major-Minor RelationshipsIdentifying Relative Major and Minor KeysReading and Writing Key SignaturesTriad Construction: Major and MinorBuilding Triads Using IntervalsDiatonic Triads: Harmonizing Scale DegreesHarmonic Function BasicsHarmonic Function: Tonic, Subdominant, and Dominant

Longest path: 94 steps · 507 total prerequisite topics

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