ΔE 23.5, loose: different enough that you should pick on purpose. Sorcerer's Cloak is a little lighter, much more muted, cooler than Kakophoni Purple.
Not as a straight swap; see the closer alternatives below. Loose match (ΔE 24). Sorcerer's Cloak is a little lighter, much more muted, cooler than Kakophoni Purple.
The same difference applies the other way round: Kakophoni Purple is a little 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 Kakophoni Purple on the colour wheel See Sorcerer's Cloak on the colour wheel
All matches: Kakophoni Purple equivalents · Sorcerer's Cloak equivalents