Silly, of course they did.
Not only did they make new music, but they re-invented a rocket capable of launching into the stratosphere. Once they accomplished that, they shot wireless speakers up all over the country. In case you were wondering, they also had to cobble together materials to create all these speakers. I believe the schematics called for Nuka Cola Quantum, 4 irons, 6 vacuum cleaners and a microfusion cell.
Once they did this, they then worked on re-building orchestras. It took some time, as they had to work with the scraps they had in the wastes. But then, oh the magnificence of it all!
They began composing some of the most brooding music ever heard, and piped it over the airwaves. If you listen closely while you travel the wastes, you can hear its haunting melody.