Wow. I've never seen them so blown up, but they must be thrips. They love dark purple flowers. First thing to do is keep this plant away from all your others. Then remove all the blossoms from this plant. That's where most of the thrips are. Beyond that, you can go with organics like Neem oil, or chemicals, or just wash and isolate the plant and watch.

Yep ... those are Thrips ... my almost constant companions during years of growing African Violets. They are almost inevitable on plants purchased from retail outlets ... because they share space with so many other plants. Thrips will spoil the look of your plants, especially your blooms, because that's what they like to eat most.

I have battled Thrips for years, and have just recently found a pretty effective strategy to combat them successfully.

Obtain the insecticide pictured below .... and mix about a teaspoon full in a quart of water ... and use that mixture to water your plant for about a month or so. When you water, try to make sure to wet the entire upper surface of the soil. Thrips spend part of their life-cycle pupating in the soil, so treating the soil breaks the life-cycle and eventually will eliminate the pests. Be sure to pour off any excess water from the plant after you water like normal. If the infestation is bad, remove the blooms and buds, and that will also help to eliminate the Thrips.

In a few months, when your plant blooms again, inspect for any remaining Thrip presence. If you still catch sight of them (or evidence of their presence) ... repeat the same process. They will, eventually, die out.

Finally, if you have multiple plants, they will need to undergo the same treatment, as mature Thrips can fly from plant to plant.