German organist and composer. Lübeck was tutored in music by his father; named organist at SS. Cosmos and Damian, Stade, in 1675. He served as organist at St Nicolai Kirche, Hamburg, from 1702 to his death. Reportedly an excellent player by all accounts, he was also in demand as a teacher and as a judge of organs. His preludes and fugues for organ parallel in style and form those of Buxtehude , though often posing greater technical demands; other extant works include chorale preludes, a 1728 print of keyboard dances, and three sacred vocal compositions.