After months of experimenting, I've finally found the right combination of machine, paper, and software to automatically cut music box strips, rather than having to punch the holes by hand. This process utilizes a consumer-level Cricut cutting machine. I've made a tutorial video that walks you through the process:
I was inspired by previous Wintergatan attempts, but this approach is much cleaner, more user friendly, and even incorporates the Cricut's drawing function to decorate the music box strips. I'm happy to answer any questions, if you have them.