Played it for the first time today, and I agree with S.N.N. on both counts. At first I just assumed you were supposed to dodge the notes, since they moved so fast.
The hit detection is pretty good, but there were a few times a note went straight through the head without hitting. I assume it flew too high in those cases, but it looked a bit odd.
It would be nice to have this battle play out like Neo Cortex from Crash Bandicoot 1. That is, have differently-shaped musical notes and symbols that have different movement patterns, including one that you can jump on to send back for a hit (the others you'd only be able to spinbounce off of, at most). For example:
--Moves forward in a wave pattern
--Zigzags down the screen at right angles (left -> down -> right -> down -> left -> etc.)
--Moves in circles as it goes forward
--Bounces around screen diagonally a few times before leaving / vanishing
--Bounces forward in arcs like a ball
--Homes in on players slowly, can be sent back by jumping on it
Of course, you wouldn't use them all at the same time, but go through different phases. I realize that might be asking a lot, though; I'm just brainstorming.
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