ΔE 14.5, fair: the same colour family, but not a straight swap. Dark Purple is a little darker, cooler than Mahogany.
Only where an exact match doesn’t matter, such as a new unit or a highlight. Fair match (ΔE 15). Dark Purple is a little darker, cooler than Mahogany.
The same difference applies the other way round: Mahogany is a little lighter, 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 Mahogany on the colour wheel See Dark Purple on the colour wheel
All matches: Mahogany equivalents · Dark Purple equivalents