The problem may be caused by CFL's and "old style" wiring in sheathed singles. Large loop areas, and un-screened alarm cables are bad from an EMC perspective. 444.4.2.1 (iii) tries to address this issue.
You can easily demonstrate this effect with an a.m. radio and most 80's landing lighting circuits....
Holmleigh, if you have a (compact) fluorescent lamp on the circuit in question, try replacing it with an eco halogen lamp, or a proper tungsten lamp, if you can still get your hands on one, to see if that helps. If not, you probably need an EMC consultant rather than an electrician.