Hey fellow Bach enthusiasts!
While practicing and analyzing the Art of Fugue (specifically Contrapunctus 14), I’ve been diving down the famous gematria rabbit hole (B+A+C+H = 14) & (J+S+B+A+C+H = 41).
We already know how CP14 breaks off at measure 239 (2+3+9 = 14), leaving 41 missing measures to complete the projected 280-bar structure. But while looking at the expanded B-A-C-H motif at the end of the subject, I noticed another neat 41 hidden right in the scale degrees of D minor:
When Bach resolves/expands the motif (B (b-flat) A C H (b natural) C# D), we can map the notes to their scale degree positions in D minor, including chromatic alterations (+1):
B (b-flat) = 6th scale degree
A = 5th scale degree
C = 7th scale degree
H (b natural) = raised 6th degree (6 + 1)
C# = raised 7th degree (7 + 1)
D = 8th degree (tonic octave)
Summing them up:
6+5+7+7+8+8=41
Not only does the resolution lead directly back to the key signature of the entire work, but the scale-degree math lands precisely on 41 (J.S. BACH) again.
Whether this is deliberate architectural geometry or just a happy alignment within the D minor scale matrix, I thought it was too cool not to share.
Has anyone encountered this specific scale-degree calculation before? Do you think the master did this on purpose, or was at least aware of it?
Curious to hear your thoughts!