New concept - don't clean until your house is clean, instead merely allocate time to the cleaning process and clean until that time is over whether you finish or not. Also if you finish before the time is up (unlikely) then clean something better than you would normally.
The idea here is that the music acts as a timer of sorts, without making you watch the clock. It frees you up and gets you in the mood to do some serious cleaning. And when it's done, so are you! The list includes Sex Pistols, Air, Prince and Paul Simon among others but you could craft your own Precisely-One-Hour-of-House-Cleaning-Music sountrack, as well, if you like the idea. What do you think - would this approach to cleaning house work for you?