Your "skiptooth" (inch-pitch) sprocket is what we used to call a "heart and star" chainring.
Back in the day when Gary and Alan and I shared a house and were phasing out inch pitch, we had a number of them hanging from nails on our porch.
Because, of course, they were worthless, but in a house where bikes were the only cultural artifact and virtually the only subject of conversation, they made nice decorations.
Later, we met some girls. My wife no longer allows me to nail chainrings to the wall, hang my bike from the living room ceiling, and set up a work bench (with grinder, truing stand and vise) in the dining room.
Maybe that's why there are no girls on this website.