ΔE 18.6, loose: different enough that you should pick on purpose. Ink Dark Turquoise is noticeably darker, much more saturated than Carbon Black.
Not as a straight swap; see the closer alternatives below. Loose match (ΔE 19). Ink Dark Turquoise is noticeably darker, much more saturated than Carbon Black.
The same difference applies the other way round: Carbon Black is noticeably lighter, much 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 Carbon Black on the colour wheel See Ink Dark Turquoise on the colour wheel
All matches: Carbon Black equivalents · Ink Dark Turquoise equivalents