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Abm13 — Ab minor thirteenth chord

A minor seventh chord with the ninth and the thirteenth added. The eleventh is normally left out, as on the dominant thirteenth.

Symbol
Abm13
Root
Ab
Quality
Minor thirteenth
Family
extended
Notes
Ab Cb Eb Gb Bb F
Degree formula
1 b3 5 b7 9 13
Semitones from the root
0 2 3 7 9 10
Distinct pitch classes
6
Interval structure
Stacked from the root: 3 semitones, 4 semitones, 3 semitones, 4 semitones, 7 semitones
Notation
Written m13. A tonic or subdominant colour in jazz and soul.
Key
Ab · Ab major / F minor key signature

Formula

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

DegreeNoteSemitonesInterval from the root
1Ab0Perfect unison
b3Cb3Minor third
5Eb7Perfect fifth
b7Gb10Minor seventh
9Bb2Major second
13F9Major sixth

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.

InversionBass noteDegree in the bassNotes above the bassSemitones above the bass
root positionAb1Ab – Cb – Eb – Gb – Bb – F0 3 7 10 2 9
first inversionCbb3Cb – Eb – Gb – Bb – F – Ab0 4 7 11 6 9
second inversionEb5Eb – Gb – Bb – F – Ab – Cb0 3 7 2 5 8
third inversionGbb7Gb – Bb – F – Ab – Cb – Eb0 4 11 2 5 9
fourth inversionBb9Bb – F – Ab – Cb – Eb – Gb0 7 10 1 5 8
fifth inversionF13F – Ab – Cb – Eb – Gb – Bb0 3 6 10 1 5

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)NotesDegreesBassSpan (frets)Sounding strings
14-2-3-3-4-2Ab B F Bb Eb Gb1 b3 13 9 5 b7Ab26
24-6-4-4-6-6Ab Eb Gb B F Bb1 5 b7 b3 13 9Ab26
34-1-3-4-4-2Ab Bb F B Eb Gb1 9 13 b3 5 b7Ab36
44-1-4-4-4-1Ab Bb Gb B Eb F1 9 b7 b3 5 13Ab36
54-2-4-3-4-1Ab B Gb Bb Eb F1 b3 b7 9 5 13Ab36
64-6-3-3-7-7Ab Eb F Bb Gb B1 5 13 9 b7 b3Ab46

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

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