ΔE 16.8, loose: different enough that you should pick on purpose. Dioxazine Purple is noticeably darker, more muted than Diabolic Plum.
Not as a straight swap; see the closer alternatives below. Loose match (ΔE 17). Dioxazine Purple is noticeably darker, more muted than Diabolic Plum.
The same difference applies the other way round: Diabolic Plum is noticeably lighter, more saturated.
ΔE is the colour difference between our two swatch estimates: under about 6 is close, over about 15 is loose. Real paints also differ in finish, coverage and how they thin, so test before you commit.
See Diabolic Plum on the colour wheel See Dioxazine Purple on the colour wheel
All matches: Diabolic Plum equivalents · Dioxazine Purple equivalents