A13 — A dominant thirteenth chord

A dominant seventh chord with the ninth and the thirteenth added. The eleventh is left out because it clashes with the third; with the eleventh included the chord has seven distinct notes.

1 = A
9 = B
3 = C#
5 = E
13 = F#
b7 = G

Symbol: A13
Root: A
Quality: Dominant thirteenth
Family: extended
Notes: A B C# E F# G
Degree formula: 1 9 3 5 13 b7
Semitones from the root: 0 2 4 7 9 10
Distinct pitch classes: 6
Interval structure: Stacked from the root: 2 semitones, 2 semitones, 3 semitones, 2 semitones, 1 semitones
Notation: Written 13. Common as a final chord in blues, and as a dominant with colour in jazz.
Key: A · A major / F# minor key signature

Formula

The chord tones in order from the root, with the interval each one forms above it.

Degree	Note	Semitones	Interval from the root
1	A	0	Perfect unison
9	B	2	Major second
3	C#	4	Major third
5	E	7	Perfect fifth
13	F#	9	Major sixth
b7	G	10	Minor seventh

Inversions

An inversion is the same set of notes with a different one in the bass. The last column gives the distance of each note above the bass note, in semitones.

Inversion	Bass note	Degree in the bass	Notes above the bass	Semitones above the bass
root position	A	1	A – B – C# – E – F# – G	0 2 4 7 9 10
first inversion	B	9	B – C# – E – F# – G – A	0 2 5 7 8 10
second inversion	C#	3	C# – E – F# – G – A – B	0 3 5 6 8 10
third inversion	E	5	E – F# – G – A – B – C#	0 2 3 5 7 9
fourth inversion	F#	13	F# – G – A – B – C# – E	0 1 3 5 7 10
fifth inversion	G	b7	G – A – B – C# – E – F#	0 2 4 6 9 11

Inversion

Bass note

Degree in the bass

Notes above the bass

Semitones above the bass

root position

A – B – C# – E – F# – G

0 2 4 7 9 10

first inversion

B – C# – E – F# – G – A

0 2 5 7 8 10

second inversion

C# – E – F# – G – A – B

0 3 5 6 8 10

third inversion

E – F# – G – A – B – C#

0 2 3 5 7 9

fourth inversion

F# – G – A – B – C# – E

0 1 3 5 7 10

fifth inversion

G – A – B – C# – E – F#

0 2 4 6 9 11

Playable voicings

These shapes were found by searching the fretboard of a standard-tuned guitar (E A D G B E) rather than copied from a chord book. The search allows every string to sound or to be muted, rejects any shape with a muted string between two sounding strings, rejects any shape whose fretted notes span more than four frets (a five-fret window), requires every chord tone to be present, and then sorts what remains with root-position shapes first and the most compact, lowest shapes next. The shapes shown are the first six of that ordering; other orderings are possible at the same frets.

#	Shape (low string first)	Notes	Degrees	Bass	Span (frets)	Sounding strings
1	5-4-4-4-5-3 (6→1)	A C# F# B E G	1 3 13 9 5 b7	A	2	6
2	5-7-5-6-7-7 (6→1)	A E G C# F# B	1 5 b7 3 13 9	A	2	6
3	5-4-5-4-5-2 (6→1)	A C# G B E F#	1 3 b7 9 5 13	A	3	6
4	5-2-4-6-5-3 (6→1)	A B F# C# E G	1 9 13 3 5 b7	A	4	6
5	5-2-5-6-5-2 (6→1)	A B G C# E F#	1 9 b7 3 5 13	A	4	6
6	5-7-4-6-8-7 (6→1)	A E F# C# G B	1 5 13 3 b7 9	A	4	6

Shape numbers run from the lowest string to the highest, so the left-hand number is the sixth string (low E) in standard tuning. Multiple shapes are listed because a chord can be voiced several ways, and because a lower position is not always the better sounding one.

Related chords and scales

KeyEverything in Ascale, chords and neck map for this root
ScaleA mixolydianthe scale this chord comes from
ChordA9the ninth chord without the eleventh
ChordA7the basic dominant

Everything in A · All chords

KeyKey of AA B C# D E F# G# · A major / F# minor
ScaleA mixolydian7 notes · 1 2 3 4 5 6 b7
ChordA9 — Dominant ninth1 9 3 5 b7 · A B C# E G
ChordA7 — Dominant seventh1 3 5 b7 · A C# E G
ChordA11 — Dominant eleventh1 9 3 11 5 b7 · A B C# D E G
ChordAm11 — Minor eleventh1 9 b3 11 5 b7 · A B C D E G
ChordAm9 — Minor ninth1 9 b3 5 b7 · A B C E G
DegreesA — degree mapA major and natural minor · frets 0–22

Everything in this key: A · Chords · Theory Atlas