Originally Posted By: timeau
Originally Posted By: kyoo
The air is denser, which makes the air/fuel leaner.
No. Reachier. More oxygen in the same amount of air. To preserve same air/fuel ratio, more fuel is required. That's how cold air intake works.
No, leaner. If you are "running rich" you have used too much fuel for the given amount of air (@21% oxygen) your engine pumps. If you are running lean you have not used enough fuel relative to the amount of air (@21% oxygen) your engine pumps. If it helps you remember: Air is free and fuel costs money; running rich is extra fuel to burn, running lean is having air (oxygen) left over when your (expensive) fuel is gone. It's not more oxygen in the same amount of air, it's more air (@21% oxygen) in the same size cylinder.
Originally Posted By: timeau
Originally Posted By: kyoo
The air is colder, which resists knock better.
These two facts are not related, IMO.
One thing causes knock (preignition), heat. Where can that heat come from? Three places: compression (from compression ratio as well as compression by a turbo or supercharger) this is how a diesel engine runs; a hot-spot in the combustion chamber such as a sharp edge, carbon debris, or the wrong heat-range of spark plug; and the latent heat of air entering the engine. If you run an air/fuel mixture and compression ratio tuned right on the ragged edge of knock with an intake air temp of -20F I can guarantee it will knock running that same air/fuel ratio and compression with an intake air temp of 110F. Furthermore, the specific heat of fuel is many many times more than the specific heat of air meaning the fuel charge cools the pre-combustion air/fuel charge (reducing the chance it will get hot enough to knock).
Originally Posted By: timeau
Originally Posted By: kyoo
can you run a lower octane?
No. The only place where you can use lower octane fuel is mountains.
Why can you run a lower octane in the mountains? Because the air is less dense meaning less heat is generated during compression and that's enough less heat to stave off preignition (knock).
To the OP: Better? Maybe. You would have to scientifically test to find out. An easy beginning way of testing would be to maintain a fuel economy log as well as use some sort of scan tool that can read knock sensor values. If your mileage drops from using mid-grade that is a sign that the ECM is adding fuel to cool the intake charge and reduce knock. Confirmation of that comes from seeing higher knock values from your knock sensor. That in itself does not constitute "better" (except for your wallet), you would then have to prove that high-test actually creates or increases deposits or other unwanted side-effects compared to mid-grade.
Take it for what it's worth (zero because I'm some random ash-hole on the interwebs) but if you don't notice a decrease in fuel economy OR an increase in knock sensor readings then running mid-grade for your driving style is perfectly fine, if not potentially beneficial in some small way.