Johann Gottfried Müthel (January 17, 1728 – July 14, 1788) was a German composer and noted keyboard virtuoso. Along with C.P.E. Bach, he represented the Sturm und Drang style of composition.
Riga was far from the established musical centers of Europe; but despite this handicap, and the fact that he saw few of his pieces printed, he gained praise from several competent judges for his virtuosity. The English music historian Charles Burney, who mentioned him several times in his writings, held him in high esteem. The German Christian Friedrich Daniel Schubart wrote of his harpsichord skill that "connoisseurs that have heard him cannot praise enough the quickness, correctness and lightness with which he conquers mountains of difficulties." He is believed to have been a skilled improviser on the keyboard. His preference seems to have been for playing the clavichord.
Even now, some of the works which Müthel is known to have produced have not yet been released in modern editions. None of his pieces for organ achieved publication in his lifetime, nor were any for non-keyboard instruments.