Hmmmm, such a Radikal idea.
Very interesting ...

I had thought of putting the 7th bit in the middle, but it always came up lop-sided since it's Half of the period.

But making a mirror image of the pulses (at twice the frequency) would put it smack dab in the middle of a nice symetrical waveform that might actually work.

I must try this ...

Oh, and Hi there Q3.
Welcome to the forum!