ΔE 22.2, loose: different enough that you should pick on purpose. Twilight Rose is much more saturated, warmer than Tyrian Navy.
Not as a straight swap; see the closer alternatives below. Loose match (ΔE 22). Twilight Rose is much more saturated, warmer than Tyrian Navy.
The same difference applies the other way round: Tyrian Navy is 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 Tyrian Navy on the colour wheel See Twilight Rose on the colour wheel
All matches: Tyrian Navy equivalents · Twilight Rose equivalents