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Extended Chords: Ninths, Elevenths, and Thirteenths

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Seventh ChordsChord Inversions+1 more→→Extended Harmony in CompositionExtended Harmony: Clusters, Microtonality, and Non-Tertian Systems+4 more
extended-chords ninth eleventh thirteenth jazz

Core Idea

Extended chords add intervals beyond the seventh to a chord's basic structure: the ninth (an octave plus a second above the root), the eleventh (an octave plus a fourth), and the thirteenth (an octave plus a sixth). These chords are built by stacking diatonic thirds above a seventh chord, producing rich sonorities characteristic of jazz, impressionism, and late Romantic harmony. In practice, not all chord tones are voiced simultaneously — the eleventh is often omitted from major chords because it clashes with the third, and the fifth is routinely dropped to keep voicings manageable. The ninth can be major (natural), minor (flat nine), or augmented (sharp nine), each with a distinctive color.

How It's Best Learned

Build extended chords from the root up at the keyboard, naming each interval as you add it. Then practice jazz voicings that omit the root and fifth, focusing on the third, seventh, and the extended tone. Listen to jazz piano recordings (Bill Evans, McCoy Tyner) to hear how extended chords are used in context.

Common Misconceptions

Explainer

You've built seventh chords — triads with a seventh stacked above the root, creating four-note sonorities that carry new tension and color. You understand intervals as measured diatonic distances. Extended chords simply continue the stacking process: if a seventh chord is a triad plus a third on top, a ninth chord is a seventh chord plus one more third, and so on up the diatonic stack. The interval names reflect the total distance from the root — the ninth is one octave plus a major or minor second, the eleventh is one octave plus a perfect fourth, the thirteenth is one octave plus a major or minor sixth.

Think of the interval numbers as a spiral rather than a straight line. After the octave (8), we don't restart at 1 — we continue: 9 is the same pitch class as scale degree 2, 11 is the same pitch class as scale degree 4, 13 is the same pitch class as scale degree 6. The distinction matters because the number signals the note's function. In a Cmaj9 chord (C–E–G–B–D), the D functions as a ninth — an extension above a complete seventh chord — not as a simple second within a triad. The context of the full chord changes how the note is heard and how it should be voiced.

The practical reality is that these chords are rarely voiced with all their theoretical notes. A C13 chord contains seven distinct pitches (C, E, G, B♭, D, F, A) — one per voice in a full orchestra, but far too many for two hands at a piano. Jazz practice developed shell voicings to solve this: drop the root (the bassist covers it), drop the fifth (acoustically redundant in most contexts), and keep the third (defines major/minor quality), the seventh (defines dominant/major 7th/minor 7th quality), and the extension that gives the chord its color. This produces a compact 3–4 note voicing that implies the full extended chord without crowding any register.

The most important expressive distinctions involve the ninth. A major 9th (♮9) is warm and open — characteristic of major seventh chords and lush Romantic harmony. A flat 9 (♭9) places a half-step crunch above the root, giving dominant seventh chords a tense, dissonant quality used in flamenco, jazz, and late Romantic chromaticism. The sharp 9 (#9) produces a collision: the #9 sounds like a minor third above the octave while the chord's major third is also present, creating an ambiguous major-minor clash heard in blues, rock, and funk. The "Hendrix chord" (E7#9) is the most famous example. These three flavors of the ninth alone give the dominant seventh chord enormous expressive range within a single harmonic function.

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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 → Ear Training: Interval and Pitch Identification → Pitch Memory and Short-Term Retention → Interval Recognition by Ear → Perfect vs. Diminished vs. Augmented Intervals → Tritone and Diminished Intervals → Tritone and Dissonant Intervals by Ear → Perfect Intervals by Ear → Major and Minor Thirds by Ear → Triad Quality: Diminished and Augmented → Seventh Chord Construction → Seventh Chords → Chord Inversions → Extended Chords: Ninths, Elevenths, and Thirteenths

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