A topic in the Open Knowledge Graph — a free, open map of 15,290 topics and the order to learn them in.

Augmented Triads and Extended Harmony

College Depth 86 in the knowledge graph ☐ I know this ☆ Set as goal
397topics build on this
470prerequisites beneath it
See this on the map →
Interval Quality: Major, Minor, Perfect, Augmented, DiminishedTriad Construction: Major, Minor, and Diminished→→Building 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.

What did you take from this?

Topics in reflective domains aren't scored by quiz answers. Read, reflect, and mark when you've thought it through.

Quiz me anyway →

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 → Triads: Major, Minor, Diminished, Augmented → Triad Construction: Major, Minor, and Diminished → Augmented Triads and Extended Harmony

Longest path: 87 steps · 470 total prerequisite topics

Prerequisites (2)

Leads To (1)