ΔE 21.4, loose: different enough that you should pick on purpose. Amethyst Purple is noticeably darker, more saturated, warmer than Galaxia.
Not as a straight swap; see the closer alternatives below. Loose match (ΔE 21). Amethyst Purple is noticeably darker, more saturated, warmer than Galaxia.
The same difference applies the other way round: Galaxia is noticeably lighter, more muted, 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 Galaxia on the colour wheel See Amethyst Purple on the colour wheel
All matches: Galaxia equivalents · Amethyst Purple equivalents