Along with the animation of the game being a throwback to the 30's, the soundtrack is similarly a lot of jazz of the era akin to Raymond Scott.  I'm really enjoying the soundtrack, though I'm a little sad nothing said of a CD release and if you want it physical a $100 LP set is the only way.  Also sad the game didn't receive a physical release even if I don't have an XBox to play it, still I intend to pick it up on Steam.

The game looks fantastic, and it's definitely on my To Buy list if I ever get an XBox.
Don't think my crappy laptop PC will be able to run it unfortunately.

https://studiomdhr.bandcamp.com/releases

This has to be one of the best game soundtracks I've ever heard,Three hours (!) of almost non-stop 20s/30s jazz and ragtime goodness., with even a bit of barbershop thrown in for good measure.

It's amazing. Definitely the best soundtrack I've heard in a long while.

The music is incredible and the game is one of the best I've played in a long, long time. Can't recommend either enough.