“Now confession time
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- I have my radio on at volume 2 (the volume controls run 0 - 10). My neighbours still hear it (and my central heating coming on, the blender I use in the kitchen, etc). All of which strikes me as being somewhat unusual ... ”
Seems a bit extreme!
Can feel your pain, nothing worse than neighbour grief. I've had issues in the past with neighbours from hell. One of their claims was an electric screw driver, which was being used to put up ceiling panels during the early evening was being heard over their telly.
Other than the fact they aren't attached to us, and our garage is between us and them, the bit that made me laugh was that we had a 6 month old baby asleep upstairs at the time. We had all sorts of claims.
We then had a visits from noise abatement, coppers and solicitors letters. My favourite was the last solicitors letter we got which claimed trespass of our bins on their fence which separates our drives, as our bins were touching their fence 
Missus kept telling me to ignore them, what goes around comes around, karma etc. Had many an evil scheme planed only to be over ruled by the boss and told to grow up.
She was right though, took about 5 years but now one of them has kicked the bucket
No more hassle.