Interesting gameplay. At first it's overwhelming, and the control scheme is unorthodox, but eventually you get into it. It does have quite a lot of puzzle elements, where you have to try to match the right color before you get defeated. It's a little easy to just spam the buttons and rely on luck though.
The graphics are pretty rough. But despite mixing many different assets, it manages to look decent. The gems are easy to tell apart by color and shape, but I wish they had different sounds as well. Sometimes you're not exactly sure what you just got and have to glance at the center of the rings. Some animation for when the rings are turning would be nice too, right now it's not always clear which way the wheels are turning or what's happening exactly. In general, more animation and visual effects would really help communicate the state of the game to the player.
Nice first game, well done!