ΔE 26.4, loose: different enough that you should pick on purpose. Crimson Magenta is a little darker, more muted, cooler than Ruby Alchemy.
Not as a straight swap; see the closer alternatives below. Loose match (ΔE 26). Crimson Magenta is a little darker, more muted, cooler than Ruby Alchemy.
The same difference applies the other way round: Ruby Alchemy is a little lighter, more saturated, warmer.
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 Ruby Alchemy on the colour wheel See Crimson Magenta on the colour wheel
All matches: Ruby Alchemy equivalents · Crimson Magenta equivalents