Carl Friedrich Abel (22 December 1723 – 20 June 1787) was a German composer of the Classical era. He was a renowned player of the viola da gamba, and produced significant compositions for that instrument.Abel was born in Köthen, a small German city, where his father, Christian Ferdinand Abel, had worked for years as the principal viola da gamba and cello player in the court orchestra. In 1723 Abel senior became director of the orchestra, when the previous director, Johann Sebastian Bach, moved to Leipzig. The young Abel later boarded at St. Thomas School, Leipzig, where he was taught by Bach.