This really doesn't reflect the actual structure of Western music for those without absolute pitch (the vast majority of people). Instead, it's pretty much just relations that matter between pitches which makes things way more difficult to visualize. Mixing red and blue gives you a different color than red and green, but A-C is pretty much the same as Bb-Db, they're both minor thirds.
If you want to analyze it algorithmically, you probably need to start looking at topology or something so that you can correctly relate musical structures in a way that is resistant to transposition.
If you want to analyze it algorithmically, you probably need to start looking at topology or something so that you can correctly relate musical structures in a way that is resistant to transposition.