ΔE 27.6, loose: different enough that you should pick on purpose. Arcane Purple is noticeably darker, more muted, warmer than Luxion Purple.
Not as a straight swap; see the closer alternatives below. Loose match (ΔE 28). Arcane Purple is noticeably darker, more muted, warmer than Luxion Purple.
The same difference applies the other way round: Luxion Purple is noticeably 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 Luxion Purple on the colour wheel See Arcane Purple on the colour wheel
All matches: Luxion Purple equivalents · Arcane Purple equivalents