ΔE 29.5, loose: different enough that you should pick on purpose. Emperor's Children is a little darker, more muted, warmer than Deep Violet.
Not as a straight swap; see the closer alternatives below. Loose match (ΔE 30). Emperor's Children is a little darker, more muted, warmer than Deep Violet.
The same difference applies the other way round: Deep Violet is a little lighter, 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 Deep Violet on the colour wheel See Emperor's Children on the colour wheel
All matches: Deep Violet equivalents · Emperor's Children equivalents