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Extended Tertian Harmony and Upper-Extension Voice-Leading

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Extended Chords: Ninths, Elevenths, and ThirteenthsVoice Leading Principles+1 moreJazz Voice-Leading and Smooth Chord ChangesVoice-Leading as Expression of Harmonic Function
extended-chords voice-leading harmony

Core Idea

Seventh, ninth, eleventh, and thirteenth chords extend harmonic possibilities but require careful voice-leading treatment. Upper extensions can be resolved stepwise or suspended, depending on harmonic context, accent placement, and style.

How It's Best Learned

Voice-lead progressions using extended chords; study jazz voicings and classical applications of ninth chords in Romantic era music.

Explainer

From your study of extended chords, you know that stacking thirds beyond the seventh produces ninths, elevenths, and thirteenths. From voice-leading principles, you know that tones move smoothly, tendency tones resolve in expected directions, and parallel motion between outer voices is avoided. Extended harmony is where these two frameworks must work together simultaneously — and where the interactions become complex, because each added extension introduces new tendency tones pulling in potentially conflicting directions.

The central challenge with upper extensions is their tendency to resolve. The ninth of a dominant chord (V9) sits a step above the root and wants to move down by step. The seventh of a V7 chord wants to resolve down to the third of the tonic. If you stack a ninth, eleventh, and thirteenth above the same dominant chord, you have multiple active tones — each with a distinct resolution tendency — competing for voice-leading clarity. The thirteenth (the sixth scale degree over the dominant) tends to resolve up to the tonic; the seventh resolves down; the ninth can resolve either way depending on whether it is major or minor and on voice-leading context. Managing these simultaneous resolutions cleanly, within a manageable number of voices, is the craft challenge.

In practice — especially in jazz — not all chord tones are voiced. A Cmaj13 chord contains seven distinct pitches: root, third, fifth, seventh, ninth, eleventh, and thirteenth. That exceeds the capacity of most instruments and voices. Pianists and guitarists routinely omit the fifth (acoustically redundant with the root and third), sometimes the root (covered by the bass), and often the eleventh (which clashes with the third unless raised to a sharp eleven). What remains is a set of extensions chosen for harmonic color and voice-leading efficiency. This practice is called chord voicing by omission: knowing which tones define the chord's identity and which are expendable. The ninth and thirteenth are usually retained because they contribute most of the color; the fifth and sometimes the root are expendable.

Classical handling of extended harmony differs significantly. Debussy's use of ninths and elevenths often includes full voicings that create deliberately lush, ambiguous sonorities where functional resolution is suspended rather than directed. Ravel's treatment is more contrapuntally precise — extensions appear in inner voices that resolve by step. Romantic composers like Wagner used unresolved ninths as expressive suspensions, allowing the extensions to linger and create yearning rather than immediately resolving. Understanding these different traditions — jazz voicing by omission, Impressionist harmonic wash, Romantic suspension — gives you distinct techniques for deploying the same theoretical material toward radically different expressive ends.

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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, DiminishedEar Training: Interval and Pitch IdentificationPitch Memory and Short-Term RetentionInterval Recognition by EarPerfect vs. Diminished vs. Augmented IntervalsTritone and Diminished IntervalsTritone and Dissonant Intervals by EarPerfect Intervals by EarMajor and Minor Thirds by EarTriad Quality: Diminished and AugmentedSeventh Chord ConstructionSeventh ChordsChord InversionsDiatonic Harmony and Roman Numeral AnalysisCommon Chord ProgressionsRoman Numeral AnalysisFigured BassVoice Leading PrinciplesDominant Seventh Chord ResolutionDominant Seventh Chord Voice-Leading and Tritone ResolutionExtended Tertian Harmony and Upper-Extension Voice-Leading

Longest path: 103 steps · 543 total prerequisite topics

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