ΔE 35.5, loose: different enough that you should pick on purpose. Spartan Bronze is a little lighter, much more muted, warmer than Gemstone Red.
Not as a straight swap; see the closer alternatives below. Loose match (ΔE 35). Spartan Bronze is a little lighter, much more muted, warmer than Gemstone Red.
The same difference applies the other way round: Gemstone Red is a little darker, much 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 Gemstone Red on the colour wheel See Spartan Bronze on the colour wheel
All matches: Gemstone Red equivalents · Spartan Bronze equivalents