guitar chord
Fm6
A minor triad with a major sixth added, which is why it is not simply a minor chord with a flat seventh.
Every fingering that fits a hand
13011x
moderate
13013x
moderate
1301xx
open
133131
hard · barre
13313x
hard · barre
What is true of it
Fm6 is F, A♭, C and D — 1, b3, 5 and 6 counted from F.
These are also the notes of Dm7♭5/F. Which name is right depends on what is underneath and what came before — the notes alone do not decide.
On an instrument that cannot reach all 4, the 5 goes first, in that order.
The easiest of the 5 fingerings below is 13011x: 4 fingers, held at the 1st fret.
1 of them use open strings, which is what makes a shape quiet to change to.
2 of the 5 need a barre.
1 string stays silent.
Where its notes are on the neck
The brass dots are F, the root. Everything else is a chord tone with its degree printed in it.
With a different note underneath
Fm6/A♭
45056x
Fm6/C
x30111
Fm6/D
xx0111
An inversion is the same chord with a different note lowest. The name changes to a slash name because the bass is what a listener hears as the foundation.