ΔE 49.0, loose: different enough that you should pick on purpose. Amethyst Purple is a little darker, much more saturated than Rough Iron.
Not as a straight swap; see the closer alternatives below. Loose match (ΔE 49). Amethyst Purple is a little darker, much more saturated than Rough Iron.
The same difference applies the other way round: Rough Iron is a little lighter, much more muted.
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 Rough Iron on the colour wheel See Amethyst Purple on the colour wheel
All matches: Rough Iron equivalents · Amethyst Purple equivalents