Recreate the contraption from the first pic(place the torch last): If the comparator is facing north or west, the torch will burn out and it will require a lever to set it up(in this way, it may happen to start burning out again rarely from my experience) or trying to place the torch with its block above on another side of the block it is attached to(In conclusion, this is side sensitive).
If you make it properly it should start cycling from power 15, 2 by 2 to 1 and then to 0 and back to 15 and so on.

Side note:If you try recreating the second pic instead of doing 13 to 0 as it should, it instead burns out no matter what you do.

Now attach another comparator as seen in the 3rd picture. Instead of cycling like the other comparator but with a 1-tick delay it goes slower like 15, 11, 7, 3, 0, 13, 9, 5, 1 and back to 15 and so on(meanwhile the original comparator cycled two times). NOTE: On 36w39a this goes in a hard to explain patter that depends on the moment you place the comparator.

The possible solution is to slow down the self-powering comparator, but I think the better solution is to make comparators in general 1-tick sensitive, as this will allow faster comparator-based redstone computers.