Actually, this won't work.
Only female midges bite people, and they only do so in order to lay a second or third batch of eggs; they can breed successfully without needing to feed as adults, though a good blood meal hugely increases their breeding success.
Repellents work because there are a couple of systems working in a midge's nervous system; attractant nerves and an antagonistic repellent system. If the former predominates they keep coming; if the latter then they stop and often just start circling. This can be seen with flies on moorland; out mountain biking on moorland, a sweaty biker will always attract a following of flies, which can only catch up to you when you stop, otherwise the airspeed needed is too high.
Sticking some paper tissue in between the bike wheel spokes and soaking it with DEET means you leave a scent plume of CO2 and of DEET, which confuses the hell out of flies and turns quite a few away.
On the other hand, if you're going to be sitting in one place, you need stronger medicine. Try one of the US-made midge repellers, which put out a vapour of insecticide. This doesn't kill the insects, just slightly clobbers their nervous systems so they can't fly straight or coordinate well enough to bite you.