ΔE 20.6, loose: different enough that you should pick on purpose. Amethyst Purple is a little darker, more muted, warmer than Purple Interference.
Not as a straight swap; see the closer alternatives below. Loose match (ΔE 21). Amethyst Purple is a little darker, more muted, warmer than Purple Interference.
The same difference applies the other way round: Purple Interference is a little lighter, more saturated, 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 Purple Interference on the colour wheel See Amethyst Purple on the colour wheel
All matches: Purple Interference equivalents · Amethyst Purple equivalents