Question:

you show in your scope shot, the 50% duty cycle at the bottom, and your pulses on the top, are you sure this is double frequency?

Looking closer you have a "low-high" on the bottom, for each tall "pulse". so if you count the "high's" from the bottom, and the tall pulses, you get the same amount.

Each tall "pulse" is twice as wide as each "low" or "high", so i am confused, what would the relationship be if it was not a "double" pulse frequency.

Can you explain what is going on here a little bit better for me, I am eager to learn.