ΔE 6.7, close: similar, with a visible difference side by side. Dark Purple is a little darker, more saturated, warmer than Dioxazine Violet.
Usually, if you are not matching paint already on the model. Close match (ΔE 7). Dark Purple is a little darker, more saturated, warmer than Dioxazine Violet.
The same difference applies the other way round: Dioxazine Violet is a little lighter, more muted, cooler.
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 Dioxazine Violet on the colour wheel See Dark Purple on the colour wheel
All matches: Dioxazine Violet equivalents · Dark Purple equivalents