ΔE 46.9, loose: different enough that you should pick on purpose. Fluorescent Magenta is noticeably lighter, much more saturated, warmer than Psychedelic Purple.
Not as a straight swap; see the closer alternatives below. Loose match (ΔE 47). Fluorescent Magenta is noticeably lighter, much more saturated, warmer than Psychedelic Purple.
The same difference applies the other way round: Psychedelic Purple is noticeably darker, much more muted, 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 Psychedelic Purple on the colour wheel See Fluorescent Magenta on the colour wheel
All matches: Psychedelic Purple equivalents · Fluorescent Magenta equivalents