It depends on the engine.. Thats why with vtec engaged models, you use higher octane for better ignition of the fuel. I could be completely wrong about that, since I'm new to Integras, but its universal for all engines..
I came from an RX8, so theres only 2 rotors in there that spin around, with apex seals sealing off the 3 chambers that push in air and fuel, ignite it, and push it out the exhaust port. That is a great example of high compression, thats why you always, I repeat, ALWAYS use premium in a rotary engine.
When you get low compression in a rotary engine, its probably due to a weak, or somehow possibly damaged apex seal, which isnt quite getting all the juice to ignite the fuel and air mixture..
Anyways, when you look at it from my point of view, its pretty simple for all cars