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Harmonic Function Basics

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Scale Degree Names and Functional RolesTriad Construction: Major and Minor+3 moreApplied Chords and Tonicization ProcessAuthentic and Plagal Cadences+29 more
harmony function tonic dominant subdominant

Core Idea

In tonal music, chords have functional roles: tonic (I) is home, dominant (V) creates tension pulling toward tonic, and subdominant (IV) moves away from tonic before resolution. These three functions organize harmonic progression and give structure to chord sequences. Understanding function is key to predicting and composing chord progressions.

How It's Best Learned

Analyze short progressions, identifying each chord's function. Listen to progressions and hear how function creates tension and resolution. Practice composing short progressions demonstrating clear functional relationships.

Common Misconceptions

Function is determined by chord type rather than role (a major triad can be I, IV, or V). V always moves to I (it often does, but not always). Confusing roman numeral analysis with functional analysis.

Explainer

You have already learned how triads are built and how scale degrees are named. Now those two skills converge: harmonic function is what a chord *does* in a progression, not just what it *is*. The same three pitches can sound stable or tense depending entirely on where you are in the key. Function explains why.

Tonal music revolves around three functional categories. The tonic (I) is home — it sounds stable and complete, the place a piece begins and returns to. The dominant (V) is the opposite: tense, expectant, pulling powerfully back to tonic. The subdominant (IV) occupies middle ground — it moves away from the tonic without creating the directed tension of the dominant. A huge proportion of Western music can be described as movement away from tonic, toward dominant, and then resolution back to tonic: T – S – D – T.

The dominant's special pull comes from the leading tone — scale degree 7, just a half step below the tonic. In C major, the chord G–B–D contains B (the leading tone), which has a strong melodic urge to resolve up to C. When the whole chord moves V→I, you get both this melodic pull in the upper voices and a descending fifth in the bass (G→C), creating a doubly conclusive gesture called an authentic cadence. No other harmonic motion in tonal music is as decisive.

The important insight the Common Misconceptions section flags is that function and chord quality are separate things. In C major, the chords I (C–E–G), IV (F–A–C), and V (G–B–D) are all major triads — yet each has a completely different function. You cannot hear a major chord and conclude "that's the tonic." You have to hear it in context, relative to the tonic. This is why functional analysis — labeling what chords *do* — is different from roman numeral analysis, which only labels where they sit in the scale.

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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 Basics

Longest path: 93 steps · 506 total prerequisite topics

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