The supreme level
Arch- comes from Greek "archos" (chief, ruler, the first) and signals the highest level, the principal, or the most extreme of a category: archbishop = the bishop of highest rank; archenemy = the principal and most formidable enemy; architect = literally "the chief of builders" (arkhi = chief + tekton = builder). The idea is always "the first," "the most," or "the supreme of its kind."