In any case, I discovered a feature that the piano solo has in common with what is probably Bach's most famous piece - the Toccata and Fugue in D minor, BWV 565.
Here are the third and fourth measures of the bass register of the piano solo (with - of course - the disclaimer that I might be wrong):
At the end of each of these measures, there's an alternating between notes of a static pitch (D in the third measure, C# in the fourth) and progressively lower notes (first C# B A and then B A G#). This same sort of figure is in Bach's piece. Here it is in the pedal part:
[source] |
I think a similar figure is also in the treble register of the piano solo (in the first and second beats of these same measures), but since I haven't figured out that half yet, I can't be sure.