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

Extended Harmony: Voicing Ninths, Elevenths, and Thirteenths

College Depth 103 in the knowledge graph ☐ I know this ☆ Set as goal
119topics build on this
547prerequisites beneath it
See this on the map →
Extended Chords: Ninths, Elevenths, and ThirteenthsSeventh Chord Resolution and Tritone Voice Leading+1 more→→Extended Chord RecognitionExtended Harmonic Techniques+3 more
extended-chords voicing upper-extensions dissonance

Core Idea

Extended chords add ninths, elevenths, and thirteenths to seventh chords, creating richer color but adding dissonance. Voice leading extended chords requires careful management of which chord members appear in which voice and how extensions resolve. Commonly, extensions resolve downward by step, and the voicing omits or compresses certain chord members to accommodate upper extensions. Upper extensions appear frequently in jazz and contemporary classical music, where their voice leading differs from traditional common practice conventions.

How It's Best Learned

Analyze jazz lead sheets and standards that use Cmaj9, Cmin11, and Cdom13 chords. Notice which tones are voiced and which omitted, then experiment with voicing the same chord in different ways to hear the different colors.

Explainer

From your work on extended chords you know what these sonorities are theoretically: a seventh chord with additional thirds stacked above it, producing the ninth (two octaves above the second), the eleventh (two octaves above the fourth), and the thirteenth (two octaves above the sixth). In theory, a complete thirteenth chord has seven distinct pitch classes. In practice, you almost never voice all seven simultaneously — the result would be acoustically thick to the point of muddiness. The craft of voicing extended chords is selecting which notes to include, which to omit, and how to arrange them in register so the distinctive color of the extension comes through clearly.

The essential tones in any extended dominant chord are the third and seventh, because they form the tritone that defines the chord's function and drives the resolution you learned about in seventh-chord work. These tones are almost never omitted. The fifth is typically the first candidate for omission because it adds little color — a perfect fifth creates no tension and crowds the voicing without contributing anything distinctive. The root can sometimes be omitted entirely in a chord voicing when the bass player is supplying it, which frees up space in the middle register for extensions. The result is what jazz pianists call a shell voicing: third and seventh in the middle, extension on top, root in the bass (often played by a bassist rather than the pianist).

Upper extensions resolve characteristically. The ninth behaves like a suspended second: it gravitates downward toward the root, or it can be held as a stable color tone over a non-dominant chord (major ninth chords are stable, not tense). The eleventh on a dominant or major chord creates a potential clash: the natural eleventh is a perfect fourth above the root, which sounds directly against the major third. The solution is the raised eleventh (augmented fourth above the root), which avoids the clash and produces a bright, Lydian color. The thirteenth behaves like a sixth — it typically appears as the highest voice in the chord, adding brightness and a characteristic wide-open sonority.

In jazz voicing, extended chords are often spread across registers in ways that place the extensions in the interior rather than stacked on top. A guitarist or pianist voicing a Cmaj9 might put the root in the bass, the seventh and third close together in the middle, and the ninth just above them — creating a dense, lush cluster of fourths and seconds that is the signature sound of jazz harmony. The voicing makes the extension audible not by piling every note on top in ascending thirds (the theoretical stack) but by placing tones where they create the richest interaction among neighbors. Experimenting with the same chord in multiple voicings — same notes, different arrangement — reveals how dramatically register and spacing change the chord's perceived color and character.

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 → 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 → Conjunct Motion and Smooth Voice-Leading → Smooth Voice Leading and Stepwise Motion → Seventh Chord Resolution and Voice Leading → Extended Harmony: Voicing Ninths, Elevenths, and Thirteenths

Longest path: 104 steps · 547 total prerequisite topics

Prerequisites (3)

Leads To (5)