What kind of serial communication is this?
Given the number of toggles, I suspect that this is some kind of unusual line coding. I think we'd need to see more close-ups of each frame (what you're calling a "cycle") to make a guess. In the meantime, here are some tips for figuring out the coding.

Common line codings such as NRZ and Manchester represent bits as level transitions, not levels themselves. In some codings (like Manchester), the direction of the transition is significant:


High to low
Low to high


In others (like NRZ), the presence or absence of a transition is significant. 


Transition present
Transition absent


Sometimes there are two transitions per bit time, sometimes only one. The line code article on Wikipedia has a lot more information with examples of several codings. Implementations of asynchronous protocols often use bit stuffing (e.g. CAN and USB), but that doesn't seem to be present here. Bit stuffing is typically done after a run of ~6 bits, but I don't see any runs longer than 3-4 bits in your data.

The fact that you always see 14 transitions per frame seems significant, but I'm not sure how to interpret it. It looks like there are 15 bit times per frame, so if one is a start bit you'd have 14 data bit times. In a Manchester-style encoding, that would be 7 bits, which could contain an ASCII character.