The Tenth Doctor claimed to have learned how to play the organ (or possibly keyboard instruments in general) from Beethoven, suggesting the two had met. (TV: The Lazarus Experiment) After the Doctor and Beethoven were abducted by Momus for a dinner party, the Doctor told Beethoven that he loved his Fifth. (PROSE: The Lonely Computer)
In an incident at the Royal Albert Hall, the Tenth Doctor claimed to have once asked Beethoven if he could "rattle off a tune," to which Beethoven reportedly replied, "Pardon?" (TV: Music of the Spheres)
The Twelfth Doctor used the hypothetical non-existence of Beethoven in a story (which didn't happen) as an example of a bootstrap paradox, where a time traveller travelled back to 18th century Germany and copied out the concertos and symphonies he had brought with him and got them published after finding out no-one knew who Beethoven was, the time traveller essentially becoming Beethoven. He described Beethoven as a "nice chap, very intense," and that he "loved an arm wrestle." (TV: Before the Flood)
Behind the scenes Edit
Beethoven was played by Paul Rhys in the BBC miniseries Beethoven.