The Canonic Variations on "Vom Himmel hoch da komm' ich her" ("From Heaven above to Earth I come"), BWV 769, are a set of five variations in canon for organ with two manuals and pedals by Johann Sebastian Bach on the Christmas hymn by Martin Luther of the same name. The variations were prepared as a showpiece for Bach's entry as fourteenth member of Mizler's Music Society in Leipzig in 1747. The original printed edition of 1747, in which only one line of the canon was marked in the first three variations, was published by Balthasar Schmid in Nuremberg. Another version BWV 769a appears in the later autograph manuscript P 271, which also contains the six trio sonatas for organ BWV 525–530 and the Great Eighteen Chorale Preludes BWV 651–668. In this later version Bach modified the order of the variations, moving the fifth variation into a central position, and wrote out all the parts in full, with some minor revisions to the score.
The title page of the printed version BWV 769 reads
In English translation this reads
There are five variations:
In BWV 769a, the variations occur in the modified order 1, 2, 5, 3, 4.
In June 1747 he entered the Society for the Musical Sciences ... He presented to the Society the chorale "Vom Himmel hoch da komm' ich her" completely worked out, and this was afterwards engraved in copper.
In June 1747, Bach was admitted as the fourteenth member of the "Correspondierde Societät der Muscialischen Wissenschaften" (Corresponding Society for the Musical Sciences), a society devoted to musical scholarship founded in Leipzig in 1738 by Lorenz Christoph Mizler. To mark his admission he not only presented a version of the Canonic Variations, but also a portrait by Elias Gottlob Haussmann in which Bach holds a copy of his canon triplex a 6 voci BWV 1076 towards the viewer. During the last ten years of his life, Bach had become preoccupied musically with canons and canonic fugues, already much developed in the Parts III and IV of the Clavier-Übung – the Organ Mass BWV 552, BWV 669–689, the four canonic duets BWV 802–805 and the Goldberg Variations BWV 988 – as well as the Musical Offering BWV 1079 and the Art of the Fugue BWV 1080. The triplex canon itself became part of the Fourteen Canons BWV 1087, preserved in one surviving copy of the Goldberg Variations. Mizler seems to have been unaware of the numerological significance that the number fourteen had to Bach (B+A+C+H=14).