ΔE 19.0, loose: different enough that you should pick on purpose. Violet is a little lighter, more muted, warmer than Gothic Blue.
Not as a straight swap; see the closer alternatives below. Loose match (ΔE 19). Violet is a little lighter, more muted, warmer than Gothic Blue.
The same difference applies the other way round: Gothic Blue is a little darker, 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 Gothic Blue on the colour wheel See Violet on the colour wheel
All matches: Gothic Blue equivalents · Violet equivalents