In this prelude and fugue, at three minutes long shorter than your typical pop song, Bach shows us yet more ways to write a prelude and fugue. The prelude is another moto perpetuo like the C minor prelude, but this one is done differently, with scale passages over a secco bass line. There is a brief fantasia-like passage at the end leading to the cadence. The two big chords are interesting: the first one is viiº7 of I and the second is viiº4/3 of V. Then V-I. I remembered one theory professor saying quite casually that EVERY piece in the common practice period ends with either a V-I cadence or a IV-I cadence. But if I recall correctly there may be a Bach chorale or two that ends with an odd cadence.
The fugue subject is nothing more than a variant of a standard Baroque ornament followed by a brief scale passage. What makes it exciting is the rhythmic verve. We haven't talked about this, but Bach's subjects all tend to be rhythmically really appealing. Here is that subject:
Bach's group of eight notes is a bit different from either, of course, but I see a family resemblance. It you were sitting at the keyboard, just fooling with these ornaments, you might stumble across what Bach uses here. Rhythmically it resembles the double cadence and the trill from below, but he has organized the notes to, instead of functioning in a cadential context, to simply suggest a tonic triad on D. He follows this with nothing more than a scale segment in dotted notes. And that's it. A fugue subject that, while it sounds complicated because of the 32nd notes, is actually very bare bones.
The fugue is quite brief, only 28 measures, but there is room for lots of sequences. Here is an ascending fourth sequence:
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