As recorded in 1951, was the first music ever recorded by a computer Beethoven’s Fifth Symphony, God Save the King, Hound Dog, or Twinkle Twinkle Little Star?
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Computer memory was extremely limited in 1951, so I say Twinkle Twinkle Little Star which is probably the shortest. Also Hound Dog was later in the 1950s.
Good theorising, but it’s God Save the King.