I did have a phasing issue with using the Compact with the L1. I didn't understand the issue completely and posted a question on the Bose forum. Here is part of the response that I received. I used the suggestions and had no problems ... if anyone is interested:
Let's call phasing = Multiple Source Interference.
There are several ways in which you can create the problem, but let me just deal with the situation we have here: A Compact and a Model I. (I will refer to these as the L1Žs)
The multiple source inteference can occur when you have two or more loudspeakers (the L1Žs) that can be heard at the same time (the sounds from them are overlapping) - and the source for both L1Žs is the same. That is both L1Žs are playing the same frequencies at the same time and the sound from the L1Žs is interacting in the air (overlapping coverage area).
The severity of that interference and the frequencies at which this will be most prominent will vary depending on the distance between the two L1Žs and where you are in relation to them.
I am suggesting that by reducing keeping the Compact at a relatively low volume, you can reduce the multiple source interference - because you are reducing the amount of overlap in the sound from the two L1Žs.
Bose has recommended that when running two L1Žs with the same source, you should place the two L1Žs at least 20 feet apart. This will help a lot if you have the space to do it.
Here is are some articles that should help.
Stereo / Mono / Distributed Systems
Practical Realities of Phase Interference.
How's that Jerry?
edit: spelling