I've beaten the big round midboss at the end of the ascending sequence once so far.
I absolutely love the game.
It looks and sounds great.
The way you implemented limited shooting is a very good implementation of the theme, and the mechanics works very well. The game controls and feels perfect. At least the part I already managed to see is very well designed, both the enemies and their placement.
The game is hard but fair just as you want it to be, learning where the enemies are beforehand as well as learning to apprehend each sequence the best way will spare you a lot of headache with many less bullets appearing, which is perfectly fine in this sort of game.
Excellent entry, both extremely fun and polished, congratulations.