I'm curious about the different minhagim Sefaradi/Mizrahi communities have around tying tzitzit 10/5/6/5 (Yod-Kei-Vav-Kei) vs. 7/8/11/13. From what I already understand, 10/5/6/5 was the "original" Sefaradi method, and is still universally followed by S&P and Moroccan communities, and the 7/8/11/13 method was a Kabbalistic innovation brought to the Sefaradi world by the Arizal.
I know that 7/8/11/13 is used by Ashkenazim -- was that the original Ashkenazi method followed by the Ari due to his own Ashki heritage, or was this the Ari's own original teaching on this inyan that was more widely accepted among Ashkenazim than among Sefaradim?
I've read that most Sefaradim today tie one version on the tallit katan, and the other on the tallit gadol, but I've heard different conflicting reports claiming to speak for all Sefaradim about which style corresponds to which beged. What do you/does your community follow? If there's anything I missed or got wrong, please let me know. I'm really curious about the origin of 7/8/11/13 tying, and how it was brought to the Sefaradi world.