ΔE 13.5, fair: the same colour family, but not a straight swap. Purple Rain is a little lighter, warmer than Royal Blue.
Only where an exact match doesn’t matter, such as a new unit or a highlight. Fair match (ΔE 14). Purple Rain is a little lighter, warmer than Royal Blue.
The same difference applies the other way round: Royal Blue 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 Royal Blue on the colour wheel See Purple Rain on the colour wheel
All matches: Royal Blue equivalents · Purple Rain equivalents