BACH motif

In music, the BACH motif is the motif, a succession of notes important or characteristic to a piece, B flat, A, C, B natural. In German musical nomenclature, in which the note B natural is written as H and the B flat as B, it forms Johann Sebastian Bach's family name. One of the most frequently occurring examples of a musical cryptogram, the motif has been used by countless composers, especially after the Bach Revival in the first half of the 19th century.

Johann Gottfried Walther's Musicalisches Lexikon (1732) contains the only biographical sketch of Johann Sebastian Bach published during the composer's lifetime. There the motif is mentioned thus:

...all those who carried the name [Bach] were as far as known committed to music, which may be explained by the fact that even the letters b a c h in this order form a melody. (This peculiarity was discovered by Mr. Bach of Leipzig.)

This reference work thus indicates Bach as the inventor of the motif.

Bach used the motif in a number of works, most famously as a fugue subject in the last Contrapunctus of The Art of Fugue. The motif also appears in the end of the fourth variation of Bach's Canonic Variations on "Vom Himmel hoch da komm' ich her", as well as in other pieces. For example, the first measure of the Sinfonia in F minor BWV 795 includes a transposed version of the motif (a♭'-g'-b♭'-a') followed by the original in measure 17.

Later commentators wrote: "The figure occurs so often in Bach's bass lines that it cannot have been accidental."Hans-Heinrich Eggebrecht goes as far as to reconstruct Bach's putative intentions as an expression of Lutheran thought, imagining Bach to be saying, "I am identified with the tonic and it is my desire to reach it ... Like you I am human. I am in need of salvation; I am certain in the hope of salvation, and have been saved by grace," through his use of the motif rather than a standard changing tone figure (B♭-A-C-B) in the double discant clausula in the fourth fugue of The Art of Fugue.

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