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Extended Harmonic Techniques

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Chromatic Expression and ColorExtended Harmony: Voicing Ninths, Elevenths, and Thirteenths+2 more→→Extended Harmony in Composition
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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 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 → Diatonic Harmony and Roman Numeral Analysis → Common Chord Progressions → Roman Numeral Analysis → Figured Bass → Voice Leading Principles → Counterpoint Basics → Species Counterpoint → Four-Part Writing (SATB) → Doubling and Spacing in Four-Part Writing → Harmonic Function and Voice-Leading Tension → Chromatic Bass Lines and Structural Function → Bass Line Writing with Harmonic Function and Voice Leading → Chord Inversions and Voice-Leading Options → Choosing Chord Inversions for Harmonic Function → Voice-Leading as Expression of Harmonic Function → Harmonic Function and Chord Progressions → Voice Leading Patterns in Cadences → Plagal Cadence Voice Leading: IV to I → Authentic Cadence Voice Leading: V to I → Modulation Voice Leading Using Pivot Chords → Pivot Chord Modulation → Modulation Techniques → Modulation Techniques and Key Change → Extended Harmonic Techniques

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