ΔE 26.6, loose: different enough that you should pick on purpose. Deep Purple is noticeably darker, much more muted, warmer than Moody Mauve.
Not as a straight swap; see the closer alternatives below. Loose match (ΔE 27). Deep Purple is noticeably darker, much more muted, warmer than Moody Mauve.
The same difference applies the other way round: Moody Mauve is noticeably lighter, much 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 Moody Mauve on the colour wheel See Deep Purple on the colour wheel
All matches: Moody Mauve equivalents · Deep Purple equivalents