Final answer:
A court dancing master was responsible for teaching and choreographing dances, arranging dance events and possibly creating new dances within a royal or noble court.
Step-by-step explanation:
A court dancing master is primarily responsible for the instruction and choreography of dance in a royal or noble court. They would have been in charge of teaching intricate dances to members of the court community, arranging dance events, and potentially creating new dances to entertain and uphold the social etiquette of the time. The court dancing master played a vital role in the cultural and social life of the court, reflecting the importance of dance as a form of artful expression and a means to demonstrate elegance and grace among the aristocracy.