Sequence 1 is a list of the:
nine muses of Greek mythology as follows (bold for missing letters):
Calliope, Clio, Euterpe, Erato, Melpomene, Polyhymnia, Terpsichore, Thalia, Urania
Sequence 2 is the order of the:
British monarchs as follows (bold for missing letters):
Anne, George I, George II, George III, George IV, William IV, Victoria, Edward VII, George V, Edward VIII, George VI, Elizabeth II