ΔE 16.4, loose: different enough that you should pick on purpose. Emerald is noticeably lighter, more saturated than Black Forest Green.
Not as a straight swap; see the closer alternatives below. Loose match (ΔE 16). Emerald is noticeably lighter, more saturated than Black Forest Green.
The same difference applies the other way round: Black Forest Green is noticeably darker, more muted.
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 Black Forest Green on the colour wheel See Emerald on the colour wheel
All matches: Black Forest Green equivalents · Emerald equivalents