ΔE 24.1, loose: different enough that you should pick on purpose. Cerulean Blue Deep is noticeably darker, more saturated, warmer than Ahriman Blue.
Not as a straight swap; see the closer alternatives below. Loose match (ΔE 24). Cerulean Blue Deep is noticeably darker, more saturated, warmer than Ahriman Blue.
The same difference applies the other way round: Ahriman Blue is noticeably lighter, 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 Ahriman Blue on the colour wheel See Cerulean Blue Deep on the colour wheel
All matches: Ahriman Blue equivalents · Cerulean Blue Deep equivalents