Among it's other "pluses", this three headed beast can be a useful and effective device when improvising over a static or modal harmonic situation, shifting the tonality momentarily a Maj. 3rd above or below the home key.
As has been described previously in these pages, the Augmented Scale can be thought of (using the first 2 lines of the exercise as an example) as:
2 Augmented triads, a minor third apart (F+ & Ab+) or, enharmonically, a half step apart (F+ & E+),
3 Major or 3 minor triads, a Maj 3rd apart (F, C# & A Major or minor triads).