ΔE 18.5, loose: different enough that you should pick on purpose. Mahogany Ink is a little lighter, more muted, cooler than Sepia.
Not as a straight swap; see the closer alternatives below. Loose match (ΔE 18). Mahogany Ink is a little lighter, more muted, cooler than Sepia.
The same difference applies the other way round: Sepia is a little darker, 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 Sepia on the colour wheel See Mahogany Ink on the colour wheel
All matches: Sepia equivalents · Mahogany Ink equivalents