ΔE 41.6, loose: different enough that you should pick on purpose. Atramentum Black is a little lighter, much more muted than Purple Tone.
Not as a straight swap; see the closer alternatives below. Loose match (ΔE 42). Atramentum Black is a little lighter, much more muted than Purple Tone.
The same difference applies the other way round: Purple Tone is a little darker, much more saturated.
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 Purple Tone on the colour wheel See Atramentum Black on the colour wheel
All matches: Purple Tone equivalents · Atramentum Black equivalents