High octane fuel makes higher compression feasible which should result in a bigger bang. Higher compression ratio allows a difference between engines, but even that isn't because of a bigger bang, it's because the higher expansion ratio (which is the same as the compression ratio in conventional engines) allows more of the energy released in combustion to do useful work as opposed to being wasted as heat. For equal compression rates the higher octane fuel will give a slightly smaller bang than low octane as it is less explosive than low octane. I don't think that's the case for ordinary fuels of different octane rating in the same engine. And explosiveness isn't the same as available energy per unit mass. But I'm open to evidence. This is why an engine tuned to run only 95 (standard K series) runs a bit flat with high octane fuel. I don't think it does, but, as above, happy to be proved wrong. Jonathan