ΔE 24.3, loose: different enough that you should pick on purpose. Blue Mountain is a little darker, more muted, warmer than Deep Azure.
Not as a straight swap; see the closer alternatives below. Loose match (ΔE 24). Blue Mountain is a little darker, more muted, warmer than Deep Azure.
The same difference applies the other way round: Deep Azure 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 Deep Azure on the colour wheel See Blue Mountain on the colour wheel
All matches: Deep Azure equivalents · Blue Mountain equivalents