Bach's sons may have been involved in the composition of this work. They may have also been involved in the performances of this particular concerto, as Friedrich Konrad Griepenkerl wrote in the foreword to the first edition that was published in 1845 that the work owed its existence "presumably to the fact that the father wanted to give his two eldest sons, W. Friedemann and C.Ph. Emanuel Bach, an opportunity to exercise themselves in all kinds of playing." It is believed to have been composed by 1733 at the latest.