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Harmonic Function: Tonic, Subdominant, and Dominant

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Building Diatonic Chords from ScalesHarmonic Function Basics→→Cadence 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 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 → Major Scales → Minor Scales: Natural, Harmonic, and Melodic → Relative Major and Minor Keys → Parallel and Relative Major-Minor Relationships → Identifying Relative Major and Minor Keys → Reading and Writing Key Signatures → Triad Construction: Major and Minor → Building Triads Using Intervals → Diatonic Triads: Harmonizing Scale Degrees → Harmonic Function Basics → Harmonic Function: Tonic, Subdominant, and Dominant

Longest path: 94 steps · 507 total prerequisite topics

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