ΔE 21.5, loose: different enough that you should pick on purpose. Light Emerald is noticeably lighter, more saturated, warmer than Coal Black.
Not as a straight swap; see the closer alternatives below. Loose match (ΔE 22). Light Emerald is noticeably lighter, more saturated, warmer than Coal Black.
The same difference applies the other way round: Coal Black is noticeably darker, 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 Coal Black on the colour wheel See Light Emerald on the colour wheel
All matches: Coal Black equivalents · Light Emerald equivalents