Johann Sebastian Bach:
The Name and the Hidden Theology
In the German and English traditions, notes are designated by letters of the Latin alphabet — A, B, C, D, E, F, G, H, and Es. Bach used this principle to create his own musical monogram: the motif B–A–C–H (B♭–A–C–B) became his signature and one of the central themes of The Art of Fugue (1742–1749).
Beyond this, Bach employed more complex methods of encryption. In Contrapunctus V of The Art of Fugue he turns to gematria —
a system in which letters and numbers are written with the same signs (A–1, B–2, C–3), so each word can be read as a sequence of numbers. The “gematria of a word” is the sum of the numeric values of its letters. Applying this to his own name — B(2) + A(1) + C(3) + H(8) — Bach obtained the number 14; with the initials “J. S. Bach” the total is 41. In Contrapunctus V this proportion is realized literally: in bar 41 we hear 14 notes, among which the B–A–C–H motif appears. The composer’s name thus becomes part of the musical structure — a hidden signature woven into the fabric of the piece.
Musicologist Ulrich Siegele showed that in Duetto No. 2 in F major (1739) Bach pushes further. There he encodes not his name but theological ideas. The length of phrases, measured in bars, aligns with the gematria of terms from the Lutheran Catechism — “faith”, “cross”, “salvation”, “rebirth”, and more. No listener could “hear” this. Bach knew that. For him, composition could be private devotion; discovery was optional.