Though my only real focus was to write something different from what I usually play on this tune, I did end up with some recurring themes. Polyrhythms turn up on the regular basis. The etude opens up with a 3 beat repeating rhythm, creating a 3/4 metric feel over the underlying 4/4 meter. The B section, starting at measure 14, uses the same 3/4 over 4/4 feel with the fourth and final occurrence of the rhythm being displaced early by one eighth note. Finally, the opening of the final A section has a 3 and half beat repeating rhythm starting on beat 2 of measure 23. You can also observe some repeating 3 eighth note rhythms in measures 4-5 and in measure 28.
Some of the other things I ended up using a lot include anticipated and delayed resolutions and switching between melodic ascent and descent multiple times withing a phrase. Anyways, here it is (links to PDFs in various transpositions below).
Stablemates Etude Bb.pdf
Stablemates Solo C.pdf
Stablemates Solo Eb.pdf