ΔE 10.8, fair: the same colour family, but not a straight swap. Arcane Gold is a little lighter, more muted than Tarnished Brass.
Only where an exact match doesn’t matter, such as a new unit or a highlight. Fair match (ΔE 11). Arcane Gold is a little lighter, more muted than Tarnished Brass.
The same difference applies the other way round: Tarnished Brass is a little darker, 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 Tarnished Brass on the colour wheel See Arcane Gold on the colour wheel
All matches: Tarnished Brass equivalents · Arcane Gold equivalents