ΔE 23.7, loose: different enough that you should pick on purpose. Imperial Purple is much more saturated, warmer than Translucent Purple.
Not as a straight swap; see the closer alternatives below. Loose match (ΔE 24). Imperial Purple is much more saturated, warmer than Translucent Purple.
The same difference applies the other way round: Translucent Purple is much 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 Translucent Purple on the colour wheel See Imperial Purple on the colour wheel
All matches: Translucent Purple equivalents · Imperial Purple equivalents