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Extended Harmonic Techniques

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Chromatic Expression and ColorExtended Harmony: Voicing Ninths, Elevenths, and Thirteenths+2 moreExtended Harmony in Composition
harmony extended-harmony composition chromaticism

Core Idea

Extended harmonic techniques expand beyond basic triads and dominant sevenths to include upper extensions (ninths, elevenths, thirteenths), chromatic alteration, borrowed chords, and secondary dominants. These techniques add harmonic color and sophistication while maintaining functional clarity. Skillful use of extended harmony characterizes twentieth-century classical and jazz composition.

Explainer

You already know that chords are built by stacking thirds on a root, and that adding a seventh to a triad creates the foundational seventh chord. Extended harmony continues this logic: add another third above the seventh and you get a ninth chord; add another and you get an eleventh chord; one more and you reach the thirteenth chord. A complete thirteenth chord technically spans all seven scale degrees stacked in thirds. In practice, composers and arrangers select which extensions to include based on the harmonic texture they want—jazz voicings routinely use 9ths and 13ths while omitting the 5th and even the root.

Chromatic alteration takes an extension and raises or lowers it by a half step to increase tension or color. A raised ninth (the ♯9, sometimes called the "Hendrix chord" in rock contexts) and a flattened thirteenth are among the most common alterations. These altered tones don't undermine the chord's function—a dominant seventh with a ♭9 still resolves to tonic—but they add expressive intensity and a distinctly chromatic flavor. When you hear these alterations, you're hearing tension deliberately amplified beyond what diatonic harmony can produce.

Borrowed chords come from a parallel mode: in C major, borrowing a iv chord (F minor) from C minor adds a darkened sound while retaining functional clarity. The iv chord has a pre-dominant function just like the diatonic IV, but the flat third lends a modal, plaintive quality. Secondary dominants—V7 of V, V7 of IV, and so on—apply dominant function to chords other than the tonic, temporarily tonicizing them. These are already familiar from chromatic harmony study; what changes here is integrating them fluently within extended harmonic textures.

The skill extended harmony builds is harmonic imagination: you learn to hear a chord not as a fixed object but as a starting point. Instead of "this is a G dominant seventh," you begin asking "which extensions or alterations would serve the moment?" Jazz musicians call this chord coloring—the underlying function stays the same while the surface shiver of tension changes. Twentieth-century classical composers—Ravel, Debussy, Scriabin—extended this further still, using stacked fourths or whole-tone sonorities that begin to loosen functional relationships entirely. Extended harmonic technique is the doorway between traditional tonality and those post-tonal explorations.

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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 PrinciplesCounterpoint BasicsSpecies CounterpointFour-Part Writing (SATB)Doubling and Spacing in Four-Part WritingHarmonic Function and Voice-Leading TensionChromatic Bass Lines and Structural FunctionBass Line Writing with Harmonic Function and Voice LeadingChord Inversions and Voice-Leading OptionsChoosing Chord Inversions for Harmonic FunctionVoice-Leading as Expression of Harmonic FunctionHarmonic Function and Chord ProgressionsVoice Leading Patterns in CadencesPlagal Cadence Voice Leading: IV to IAuthentic Cadence Voice Leading: V to IModulation Voice Leading Using Pivot ChordsPivot Chord ModulationModulation TechniquesModulation Techniques and Key ChangeExtended Harmonic Techniques

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