I will correct myself here and post the facts.
This is on a Dyno
dyno days show that there is a correlation between advancing the timing and an increase in low-end torque. In general, each 1-degree of additional advance seems to bring the torque curve back by around 100 rpm. By advancing the timing by 4 degrees it has the effect of delivering torque at 2,600 rpm that would normally be realised at 3,000 rpm. Of course, it has also been noted that top end torque is adversely impacted in about the same ratio
The result can be pinging cause by premature detonation. That is why higher-octane fuel can be good insurance if the timing is advanced.
In hot weather when the air is warmer the amount of oxygen atoms in a given volume of air will be less that in cold air. This leans out the air/fuel mix. Once again, higher-octane fuel in the summer is good insurance. Similarly, in lower altitudes the air is denser and the stoichiometry (ratio of fuel to air) moves to lean so a higher octane fuel may be beneficial to avoid pinging. So if you have advanced the timing and go for a mid summer drive down to the beach you might like to take on a tank of 98 RON.
I want to credit Reher-Morrison Racing Engine School for the information
I have noticed personally more power in the MID TOP end range Partially due to wheel Spin