I have tried various combinations of straight binary, signed binary, one's complement, two's complement, ternary* and balanced ternary. No luck and no patterns that I can see from any of it.
And I've tried all sorts of Morse stuff to no avail including branching trees (gets too big very quickly) with arbitrary lengths of separation between words.
It has at least been fun to do.
*by looking at the stream as "up-shift, steady, down-shift."
Some of the musically inclined have suggested that the tones vary not only from high to low tones but also occasionally pitch up a little, so you might get low/low/high/low/high/slightly higher low.
It might be worth listening out for these tweaked tones as they might indicate where your word breaks are.