This design has all the tools and info to make a custom music cylinder:
https://www.thingiverse.com/thing:53235
The whole thing is cranked rather than wind up but you can add a drive mechanism from something else, or just use the cylinder and comb in another mechanism.
Or a common type that work from paper strips. You could use one of those to get the music perfect then wrap the paper around a drum & set the pin positions through the holes.
https://www.amazon.com/Kikkerland-Make-Your-Own-Music/dp/B000HAUEFY
eg. on a "bid drum" design such as this:
http://www.instructables.com/id/Build-a-Programmable-Mechanical-Music-Box/