In approaching the composition, Bartók wanted the music to be more contrapuntal. He also wanted to simplify his music (like many of his contemporaries), but his use of counterpoint in this piece makes for an extremely complicated piece of music. This aspect had proven particularly troublesome in the First Concerto, so much so, in fact, that the New York Philharmonic, which was to have given the premiere, could not master it in time, and Bartók's "Rhapsody" had to be substituted into the program. The composer himself claimed in a 1939 article to have composed this concerto as a direct contrast to his First Concerto, acknowledging that the First "is a bit difficult — one might even say very difficult! — as much for orchestra as for audience."