Born: February 18, 1770, Elgersburg, Thuringia.
Died: August 7, 1846, Darmstadt, Germany.
Buried: Alter Friedhof, Darmstadt, Germany.
Rinck studied under Abicht, J. A. Junghanss, H. C. Kirchner, and J. C. Kittel in Erfurt (1786–89).
In 1790, he became organist at Giessen, and in 1805 moved to Darmstadt, where he played the organ and taught music.