ΔE 31.1, loose: different enough that you should pick on purpose. Crimson is a little lighter, much more saturated, cooler than Ruby Red.
Not as a straight swap; see the closer alternatives below. Loose match (ΔE 31). Crimson is a little lighter, much more saturated, cooler than Ruby Red.
The same difference applies the other way round: Ruby Red is a little darker, much more muted, 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 Red on the colour wheel See Crimson on the colour wheel
All matches: Ruby Red equivalents · Crimson equivalents