The Piano Concerto No. 5 in  E♭ major ,  Op.  73, by  Ludwig van Beethoven , popularly known as the Emperor Concerto, was his last completed  piano concerto . It was written between 1809 and 1811 in Vienna, and was dedicated to  Archduke Rudolf , Beethoven's patron and pupil. The first performance took place on 13 January 1811 at the Palace of  Prince Joseph Lobkowitz  in Vienna, with Archduke Rudolf as the soloist, [1]  followed by a public concert on 28 November 1811 at the  Gewandhaus  in Leipzig under conductor  Johann Philipp Christian Schulz , the soloist being  Friedrich Schneider . [2] [3]  On 12 February 1812,  Carl Czerny , another student of Beethoven's, gave the Vienna debut of this work.The epithet of Emperor for this concerto was not Beethoven's own but was coined by  Johann Baptist Cramer , the English publisher of the concerto. [4]  Its duration is approximately forty minutes.