ΔE 37.0, loose: different enough that you should pick on purpose. Kakophoni Purple is noticeably darker, much more muted, warmer than Pale Blue Dot.
Not as a straight swap; see the closer alternatives below. Loose match (ΔE 37). Kakophoni Purple is noticeably darker, much more muted, warmer than Pale Blue Dot.
The same difference applies the other way round: Pale Blue Dot 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 Pale Blue Dot on the colour wheel See Kakophoni Purple on the colour wheel
All matches: Pale Blue Dot equivalents · Kakophoni Purple equivalents