I usually love rhythm games, and I want really bad to like this one, but there are several details that prevent me from really enjoying the experience. The first one might be the symbol: even if I know the layout of a playstation pad, they are not immediately intuitive. And rhythm is all about instinctive reaction, so if I have to think about what button I have to press, it's likely already too late! Plus, the fact that the incoming symbol are differently shaped and colored than the ones on the right (when we press them) is confusing. They seem like two different things, I wasn't sure at first what which one means.
But the second and most important issue is the synchronization with the music. I actually don't know if the game elements are on the beat, because I wasn't able to feel a sense of rhythm into what was going on. The symbols were moving step by step, but id didn't seem to be on the beat. Sometime it felt like they accelerated? And I don't know visually or by sound when I'm suppose to hit the button. When the symbol becomes big, or just after, when it's "inside" the circle? There is no clear audio feedback when you succeed or miss a note, so even trial and error is difficult to determine the timing. After many attempts, I eventually beat the first level, but I had no idea what I was doing.
The game has a lot of great ideas though! But I think it's mixing too much of them, in a way that doesn't really work. I can clearly see the Rhythm Doctor inspiration, which is an excellent reference! But this game actually keep thinks simple: the movement is step by step, but the music accentuate the beat so that you know the rhythm of the steps. There's always a cue on the seven beat, and even the melody kinda indicates you that this is where you must press the button. And the rhythm is mostly always constant. Levels where it speeds up or slows down are exception, and even there it's done in a way that is easy to memorize for the player (on a small pattern), so that they can anticipate it and not be surprise. Here, well, the music doesn't help to emphasize the steps, it's unclear on which beat the action must be done, and the changes of pace more than often come by surprise.
Now making a rhythm game during a jam is extremely hard, and it's still extremely cool that you attempted it! I'd suggest to be less ambitious for the next time, to be able to have the most simple of mechanics working like a clock! Because otherwise, the art is good, the music is super great (3 songs in one jam, are you kidding !?) and the game concept look like it could be super fun if it worked (yeah there are so few games like Rhythm Doctor, I'm enthusiast seeing that it inspire some creators!). I really hope you'll be able to improve the game after the jam, or try to make another game out of this idea, I'll be very curious to try it! :)