Chord Extensions Guide: 9th, 11th, and 13th Chords Explained | BeatKey Tools
Music Theory

Chord Extensions Guide

9th, 11th, and 13th chords explained. Formulas, note names, piano voicings, and when to use each extension in your productions.

14 extension types
Piano voicings for each chord
Genre guides per extension

What Are Chord Extensions?

A basic chord stacks two thirds above a root: root, 3rd, 5th. Adding a 7th gives you a 7th chord. Extensions keep stacking thirds above that: the 9th, 11th, and 13th. The number wraps around the octave: a 9th is the same pitch class as a 2nd, an 11th is a 4th, and a 13th is a 6th.

Triad
1 - 3 - 5
7th Chord
1 - 3 - 5 - 7
9th Chord
1 - 3 - 5 - 7 - 9
11th/13th
1 - 3 - 5 - 7 - 9 - 11 - 13

Extensions add color and emotional depth without changing a chord's harmonic function. A Cmaj13 still resolves like a I chord. The extensions just make it richer.

The Extension Rule: Stack by Thirds

Starting from C, stacking thirds gives you every possible extension in one chain:

C = root (1)
E = major 3rd
G = perfect 5th
B = major 7th
D = 9th (= 2nd + octave)
F = 11th (= 4th + octave)
A = 13th (= 6th + octave)

In practice, you rarely voice all 7 notes. Drop the 5th and sometimes the root in the upper voicing:

Cmaj13 full: C E G B D F A
Cmaj13 practical:
Left hand: C (bass)
Right hand: E B D A
Drop G and 2nd root to avoid mud

All 14 Extension Types

All examples shown in the key of C. The formula applies to any root.

Add 9 add9
Pop, indie, folk, bedroom pop
Formula
1 - 3 - 5 - 9
Notes in C
C E G D
Piano voicing
C2 | C3 E3 G3 D4
Open, airy, bright
Major 9 maj9
Neo-soul, jazz, R&B, lo-fi
Formula
1 - 3 - 5 - maj7 - 9
Notes in C
C E G B D
Piano voicing
C2 | E3 B3 D4 G4
Dreamy, lush, sophisticated
Dominant 9 9
Funk, R&B, jazz, soul
Formula
1 - 3 - 5 - b7 - 9
Notes in C
C E G Bb D
Piano voicing
C2 | E3 Bb3 D4 G4
Funky, soulful, bright tension
Minor 9 min9 / m9
Neo-soul, hip-hop, R&B, jazz
Formula
1 - b3 - 5 - b7 - 9
Notes in C
C Eb G Bb D
Piano voicing
C2 | Eb3 Bb3 D4 G4
Smooth, melancholic, modern
Minor-Major 9 minmaj9 / mM9
Jazz, film score, classical
Formula
1 - b3 - 5 - maj7 - 9
Notes in C
C Eb G B D
Piano voicing
C2 | Eb3 B3 D4 G4
Tense, film noir, exotic
Major add 11 add11 / sus2sus4
Ambient, post-rock, film score
Formula
1 - 3 - 5 - 9 - 11
Notes in C
C E G D F
Piano voicing
C2 | C3 G3 D4 F4
Floating, spacious, unresolved
Dominant 11 11
Jazz, funk, gospel
Formula
1 - 3 - 5 - b7 - 9 - 11
Notes in C
C E G Bb D F
Piano voicing
C2 | Bb2 E3 D4 F4
Dense, full, bluesy tension
Minor 11 min11 / m11
Neo-soul, jazz fusion, progressive
Formula
1 - b3 - 5 - b7 - 9 - 11
Notes in C
C Eb G Bb D F
Piano voicing
C2 | Eb3 Bb3 D4 F4
Deep, moody, complex minor
Major 7 #11 (Lydian) maj7#11
Jazz, neo-soul, film score, lo-fi
Formula
1 - 3 - 5 - maj7 - #11
Notes in C
C E G B F#
Piano voicing
C2 | E3 B3 F#4 G4
Airy, magical, Lydian brightness
Major 13 maj13
Jazz, neo-soul, gospel, R&B
Formula
1 - 3 - 5 - maj7 - 9 - 13
Notes in C
C E G B D A
Piano voicing
C2 | E3 B3 D4 A4
Rich, complete, warm tonic
Dominant 13 13
Funk, jazz, soul, gospel
Formula
1 - 3 - 5 - b7 - 9 - 13
Notes in C
C E G Bb D A
Piano voicing
C2 | E3 Bb3 D4 A4
Bright, soulful, dominant tension
Minor 13 min13 / m13
Jazz, neo-soul, smooth R&B
Formula
1 - b3 - 5 - b7 - 9 - 13
Notes in C
C Eb G Bb D A
Piano voicing
C2 | Eb3 Bb3 D4 A4
Mellow, complex, sophisticated minor
Dominant b9 (Altered) 7b9
Jazz, flamenco, classical
Formula
1 - 3 - 5 - b7 - b9
Notes in C
C E G Bb Db
Piano voicing
C2 | E3 Bb3 Db4 G4
Dark, tense, demanding resolution
Dominant #9 (Hendrix) 7#9
Rock, blues, funk, R&B
Formula
1 - 3 - 5 - b7 - #9
Notes in C
C E G Bb D#
Piano voicing
C2 | E3 Bb3 D#4 G4
Bluesy, gritty, ambiguous major/minor

9th Chords: The Producer's Workhorse

9th chords are the most commonly used extensions in modern production. They add depth without overwhelming complexity.

add9 vs maj9: What is the Difference?

An add9 has NO 7th: root, 3rd, 5th, 9th. Cadd9 = C E G D. Lighter and more open, great for indie and pop. A maj9 includes the major 7th: root, 3rd, 5th, maj7, 9th. Cmaj9 = C E G B D. Richer and more jazz/neo-soul. When you see "add9" on a chord chart, skip the 7th.

Dom9: The Funk Chord

A dominant 9th (just written as "9" like G9 or C9) has a flat 7th and a natural 9th: 1 b7 9. C9 = C E G Bb D. This is the classic funk chord. Prince, Stevie Wonder, and Nile Rodgers built entire songs on 9th vamps. Stack it on the IV or V of your key for an instantly soulful sound.

min9: Neo-Soul Staple

Minor 9 (min9 or m9) gives you a smooth, melancholy modern minor sound: 1 b3 5 b7 9. Am9 = A C E G B. Common in D'Angelo, Anderson .Paak, and H.E.R. productions. Replace any minor 7 chord with a minor 9 for instant sophistication. The 9th adds an open quality that prevents the chord from feeling too dark.

maj7#11: The Lydian Extension

maj7#11 (also called Lydian chord or #11) raises the 11th by a half step: 1 3 5 maj7 #11. Cmaj7#11 = C E G B F#. This is the signature sound of modal jazz, Herbie Hancock, and lo-fi chill beats. The raised 11th avoids the clash between the natural 11th and the major 3rd, giving it the airy, dreamy Lydian feel.

Extensions by Genre

GenreFavorite ExtensionsClassic ExampleWhy It Works
Neo-Soul / R&Bmaj9, min9, maj7#11, m11D'Angelo "Untitled"Rich harmonic color, never harsh
Jazzmaj9, dom13, min11, 7b9, 7#9John Coltrane "Giant Steps"Tension and resolution, voice leading
Funkdom9, dom13, 7#9Stevie Wonder "Superstition"Bright tension over groove
Lo-Fi / Chill Hopmaj9, maj7#11, add9, min9Idealism type beatsOpen, unresolved, dreamy texture
Gospeldom13, maj13, add9, min9Kirk Franklin "Stomp"Full-spectrum color, choir-like
Pop / Indieadd9, add11, sus2Coldplay "Clocks"Open sound without jazz complexity
Hip-Hopmin9, maj7, dom9J Dilla sample flipsSample DNA + extension layering
Film Scoremin9, mM9, maj7#11, min11Hans Zimmer "Inception"Emotional depth, ambiguity

How to Voice Extended Chords

Drop the 5th

The 5th is harmonically neutral. Remove it to make room for extensions. Cmaj9 without G: C E B D. Still sounds complete.

Bass handles the root

Let the bass note establish the root. Your chord voicing in the upper register can start on the 3rd, giving more harmonic space.

Spread voicing vs close

Spread voicings (intervals wider than an octave in the right hand) sound cleaner for extensions. Close voicings get muddy fast with 5+ notes.

Avoid the b9 clash

When a natural 11th is a half step above the 3rd (like F natural over a C major chord), you get a b9 clash. Use #11 instead, or omit the 3rd.

Left hand = shell chord

Play the root and 7th in the left hand (shell chord). Let the right hand carry the 9th, 11th, and 13th. This is the jazz pianist approach.

Voice lead the extensions

When moving between extended chords, keep the 9th or 7th as a common tone or move it by a half step. Smooth voice leading is what makes extended progressions flow.

Extended Chord Progressions

Neo-Soul Tonic Loop (C major)
Neo-SoulR&BLo-Fi
Cmaj9 - Am9
Imaj9 - VIm9
Smooth, timeless, D'Angelo vibes
Funk Dominant Vamp (G dominant)
FunkSoulR&B
G9 - G9 - G13 - G9
One-chord vamp with extension movement
Deep groove, Stevie Wonder energy
Lydian Float (C major (modal))
Lo-FiFilm ScoreJazz
Fmaj7#11 - Gmaj9 - Fmaj7#11
IV Lydian back-and-forth
Dreamy, floating, non-resolving
Jazz ii-V-I with Extensions (C major)
JazzNeo-SoulGospel
Dm11 - G13 - Cmaj9
iim11 - V13 - Imaj9
Sophisticated, resolved, Bill Evans style
Minor 9 Descent (C major)
R&BIndieFilm Score
Am9 - Gmaj9 - Fmaj7#11 - Em9
Vim9 - Vmaj9 - IVmaj7#11 - IIIm9
Flowing, modern, introspective

Detect Extensions in Your Samples

Use BeatKey Chord Finder to detect the chords already present in your samples and loops. It identifies chord type and root, helping you understand what extensions are being used before you layer your own.

1
Detect the Key

Upload your sample to BeatKey to get the BPM and musical key instantly.

Open BeatKey
2
Find the Chords

Use Chord Finder to detect what chord extensions are already in the audio.

Open Chord Finder
3
Add Extensions

Layer your own extended chords in the DAW that fit the key and feel.

Chord Generator

Chord Extensions FAQ

What are chord extensions in music? +
Chord extensions are notes added above a basic triad or 7th chord by continuing to stack thirds. The extensions are the 9th (same pitch class as the 2nd), the 11th (same as the 4th), and the 13th (same as the 6th). They add color and tension to chords without changing the underlying harmonic function. A Cmaj13 still functions as a I chord; it just has more tonal complexity.
What is the difference between add9 and maj9? +
An add9 chord adds only the 9th to a triad with no 7th: root, 3rd, 5th, 9th. Cadd9 = C E G D. A maj9 chord includes both the major 7th and the 9th: root, 3rd, 5th, maj7, 9th. Cmaj9 = C E G B D. The add9 has a lighter, more open sound. The maj9 is richer and more complex.
What chords use extensions in neo-soul and R&B? +
Neo-soul and R&B rely heavily on maj9, min9, dom9, and maj7#11 chords. Common uses: Cmaj9 for a dreamy tonic, Dm9 for a smooth minor passage, G13 for a funky dominant, and Fmaj7#11 (Lydian) for an airy major color. Artists like D'Angelo, Erykah Badu, and Robert Glasper build entire progressions from stacked extensions.
How do I use chord extensions in a DAW? +
In your DAW Piano Roll, stack the notes of the extension above the basic chord. For Cmaj9 in root position: C3, E3, G3, B3, D4. You can also voice them in spread voicings: C2 (bass), E3, B3, D4, G4. Detect the key of your sample first using BeatKey, then use the Chord Finder to identify what chords are already present before adding extensions that fit the key.

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