I tried this game during Monday's devo workshop hours and can't forget about it! The idea of changing the arrows to dice is genius. The level design and music selection are also pretty good, with the beats and nodes matching pretty well with the dice.
The only downside I guess, is that changing arrows/nodes to dice takes away some aesthetic of beatmap design (which is something I enjoy from rhythm games). But I think this can be quite easily fixed by some background polish, or moving the line of dice around a bit (like how the hitline moves in some rhythm game).
Super excited to see how this idea can be further developed and brought even further ヽ(⌒▽⌒)ノ
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haha sorry for the vague description! Some examples I can think of are Arcaea (not super relevant to your game play) and phigros (slightly more relevant?). The beatmaps for those games are super fancy, and slightly different for each music, corresponding to the music genre and context. Hopefully, those examples make more sense!