ΔE 15.1, loose: different enough that you should pick on purpose. Imperial Purple is a little lighter, warmer than Violet.
Not as a straight swap; see the closer alternatives below. Loose match (ΔE 15). Imperial Purple is a little lighter, warmer than Violet.
The same difference applies the other way round: Violet is a little darker, 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 Violet on the colour wheel See Imperial Purple on the colour wheel
All matches: Violet equivalents · Imperial Purple equivalents