Persian Violet vs Sapphire Blue

How close are they?

ΔE 31.8, loose: different enough that you should pick on purpose. Sapphire Blue is much more muted, cooler than Persian Violet.

Can I use Sapphire Blue instead of Persian Violet?

Not as a straight swap; see the closer alternatives below. Loose match (ΔE 32). Sapphire Blue is much more muted, cooler than Persian Violet.

Can I use Persian Violet instead of Sapphire Blue?

The same difference applies the other way round: Persian Violet is much more saturated, warmer.

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.