D#m chords with alternative bass notes

D# minor chords for piano with alternative bass notes presented by keyboard diagrams.
Explanation: The slash in the chord name indicates that the second letter is added as a new bass note. D#m/C should therefore be read as D sharp Minor chord with a C note in the bass.
Theory: D#m/C# is identical with the third inversion of D#m7, D#m/C is identical with the third inversion of D#m6.

D#m/C#

D#m/C# chord diagram
Notes: C# - D# - F# - A#
Left hand: 5-3-2-1
Right hand: 1-2-3-5

D#m/C

D#m/C chord diagram
Notes: C - D# - F# - A#
Left hand: 5-3-2-1
Right hand: 1-2-3-5

D# chord categories

D# D#m D#7 D#m7 D#maj7 D#mM7 D#6 D#m6 D#6/9 D#5 D#9 D#m9 D#maj9 D#11 D#m11 D#maj11 D#13 D#m13 D#maj13 D#add D#7-5 D#7+5 D#sus D#dim D#dim7 D#m7b5 D#aug D#aug7