The relative phase of the 1st and 2nd harmonic cavities can be adjusted during the injection period, and it has been. The resulting pattern, where the injecting beam falls on the rf waveform is perhaps not the most intuitive result. At any rate, clearly the present working setup is complicated. This was short pulse work, moving the few linac pulses around in the bucket and watching the resulting mountain range. A comparison could be made.
Qualitatively things look similar.
Alfredo showed some similar mountain range plots from his 6 dimensional simulation. His machine can give a prediction for the distribution in tune space of the individual particles. And this gets us into the transverse space as well as the longitudinal. A closing remark from Kevin Brown. There is a plan to deliver beam to the spallation target folk in the U line in November, with some stealing in October to set up low momentum extraction.