ΔE 16.0, loose: different enough that you should pick on purpose. Imperial Purple is noticeably darker, warmer than Blue Violet.
Not as a straight swap; see the closer alternatives below. Loose match (ΔE 16). Imperial Purple is noticeably darker, warmer than Blue Violet.
The same difference applies the other way round: Blue Violet is noticeably lighter, 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 Blue Violet on the colour wheel See Imperial Purple on the colour wheel
All matches: Blue Violet equivalents · Imperial Purple equivalents