ΔE 15.4, loose: different enough that you should pick on purpose. Azure is noticeably darker, more saturated, cooler than Mauve.
Not as a straight swap; see the closer alternatives below. Loose match (ΔE 15). Azure is noticeably darker, more saturated, cooler than Mauve.
The same difference applies the other way round: Mauve is noticeably lighter, more muted, warmer.
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 Mauve on the colour wheel See Azure on the colour wheel
All matches: Mauve equivalents · Azure equivalents