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Augmented Triads and Extended Harmony

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Interval Quality: Major, Minor, Perfect, Augmented, DiminishedTriad Construction: Major, Minor, and DiminishedBuilding Triads from Scale Degrees
harmony triads extended-chords

Core Idea

An augmented triad consists of a root, a major third, and an augmented fifth (a perfect fifth raised by one semitone). Augmented triads are symmetrical—all three intervals are major thirds—giving them a unique, ambiguous, and restless quality.

How It's Best Learned

Construct augmented triads on a staff, play them on an instrument, and compare them to major and diminished triads. Notice how the augmented fifth creates tension.

Common Misconceptions

Augmented triads are less common than major, minor, or diminished triads in tonal harmony, appearing primarily as chromatic alterations or in 19th-century romantic music.

Explainer

You already know how to build the three basic triads — major, minor, and diminished — and you understand interval quality: the difference between a perfect fifth, an augmented fifth, and a diminished fifth. The augmented triad fits directly into that framework. Start with a major triad (root + major third + perfect fifth) and raise the fifth by one semitone. That raised fifth is now an augmented fifth, and the result is an augmented triad: root, major third, augmented fifth.

What makes augmented triads distinctive is their perfect symmetry. In a major triad, the interval from root to third is a major third (4 semitones), and the interval from third to fifth is a minor third (3 semitones) — the two intervals are different sizes. In a diminished triad, both are minor thirds. But in an augmented triad, both intervals are major thirds (4 semitones each). The triad divides the octave into three equal parts. This symmetry has a striking consequence: the three notes of an augmented triad are interchangeable as roots. C–E–G# can be heard as rooted on C, on E, or on G#/Ab, and each hearing produces the same augmented triad (just respelled). There are only four distinct augmented triads, even though there appear to be twelve possible root positions.

This symmetry also explains the triad's instability and ambiguity. In tonal harmony, a chord's function depends partly on its relationship to the tonic, which requires the chord to have a clear root and a clear position in the key. An augmented triad refuses both: its equal internal intervals give no clue about which note is the root, and it does not occur naturally on any scale degree in major or minor keys (the minor scale's augmented triad on the third degree is the one exception, in harmonic minor). The raised fifth creates strong tension — it wants to resolve upward by semitone to the octave — making augmented triads inherently restless. Romantic composers exploited this: Liszt, Wagner, and Debussy used augmented harmonies to create hovering, unresolved tension and to move between remote keys that diatonic chords cannot easily connect.

Constructing augmented triads fluently prepares you for seventh chords, where augmented intervals appear in more complex combinations. The augmented major seventh chord (root + major third + augmented fifth + major seventh) is a direct extension, and understanding why the augmented fifth creates tension is essential for understanding how composers use these chords to create and defer resolution.

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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 ScalesTriads: Major, Minor, Diminished, AugmentedTriad Construction: Major, Minor, and DiminishedAugmented Triads and Extended Harmony

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