ΔE 30.8, loose: different enough that you should pick on purpose. Azure is noticeably lighter, much more muted, cooler than Beaten Purple.
Not as a straight swap; see the closer alternatives below. Loose match (ΔE 31). Azure is noticeably lighter, much more muted, cooler than Beaten Purple.
The same difference applies the other way round: Beaten Purple is noticeably darker, much more saturated, 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 Beaten Purple on the colour wheel See Azure on the colour wheel
All matches: Beaten Purple equivalents · Azure equivalents