The period between sunset and noon is called "morning", between noon and sunset is "afternoon". Is there a term for the period between midnight and sunrise?
Edit/Clarification: Wikipedia defines night as "the period of time between the sunset and the sunrise when the Sun is below the horizon", and I think most people would agree (please correct me if I'm wrong). So, "night" is not the answer I'm looking for. Is there a term specifically for the period between midnight (00:00) and sunrise, excluding the period between sunset and midnight?