Continuity vs. Consistency
Continuity is factual: it refers to the accurate tracking of established facts across the story. A character established with brown eyes in chapter one should have brown eyes in chapter fifteen. A city established as three days' ride from the capital should be three days' ride throughout the book. Consistency is tonal: it refers to the coherence of the narrative voice, the characters' emotional registers, and the book's overall atmosphere. Both matter, and both can be violated. A continuity error is usually a factual mistake. A consistency error is usually a tonal or characterization failure. They require different tools to find and different solutions to fix.