guitar chord
D♯m6
A minor triad with a major sixth added, which is why it is not simply a minor chord with a flat seventh.
Written the other way round it is E♭m6 — the same twelve keys on a piano, a different piece of notation.
Every fingering that fits a hand
xx1312
moderate · barre
bddbdb
hard · barre
x6454x
hard · no 5
x6857x
hard
x6457x
hard · no 5
What is true of it
D♯m6 is D♯, F♯, A♯ and B♯ — 1, b3, 5 and 6 counted from D♯.
These are also the notes of Cm7♭5/D♯. 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 xx1312: 3 fingers, one of them barring the 1st fret, held at the 1st fret.
None of them uses an open string, so this chord moves up the neck unchanged — the same shape 1 fret higher is the chord a semitone above.
2 of the 5 need a barre.
2 strings stay silent.
Where its notes are on the neck
The brass dots are D♯, the root. Everything else is a chord tone with its degree printed in it.
With a different note underneath
D♯m6/F♯
2313xx
D♯m6/A♯
x11312
D♯m6/B♯
8988b8
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.