Crosstalk from something most likely. Though exactly what is another matter.
20 or so years ago it could have been an analogue audio feed between a radio station and a medium wave transmitter. They sometimes used fixed circuits that ran alongside phone cables. But these days they are more likely to be digital. Not sure BT even offer analogue audio circuits anymore, so long since I needed one the old brain forgets these things
It shouldn't have any effect on broadband though. Unless the frequency response of the interfering signal extends into the band used by ADSL. if it is within the 3kHz limit of normal voice communication than it should have no more effect than making a phone call.
However having said that, the mere fact you are hearing this signal could indicate some other fault. You shouldn't really be hearing this signal, after all you don't normally hear other phone conversations on the hundred or so pairs that travel down the same cable to the exchange as your line.
Might be worth calling your phone provider to have a look into it.
Oh and nearly forgot. The sound you are hearing could be a Medium wave radio broadcast. The wires could be acting as an aerial and it is entirely possible to demodulate AM with nothing more than a dodgy connection!
Get your radio out and see if you can find a local station broadcasting the same material. But again you shouldn't be hearing this either so there may be a fault on the line or as I say a dodgy connection.