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