Here’s where we are after day 13.
Hakuho still leads the yusho race with one loss. Aoiyama, despite stepping out first, got the decision today and is one loss back. Inexplicably, the schedulers have not brought him up to fight tougher opposition on day 14—he gets M12 Takekaze. Harumafuji and Tochiozan are still mathematically in it with 3 losses each.
Goeido still needs a win to avoid kadoban status, though with the way Takayasu is fighting, this now seems easier than it did a couple of days ago. Takayasu seems happy to rest on his kachi koshi.
Tamawashi is in real trouble, and needs to win out to stay at Sekiwake. Ura in his current state shouldn’t be too much of a challenge tomorrow, though he’s nothing if not unpredictable. The day 15 opponent (Tochiozan?) should provide a stiffer challenge.
Mitakeumi now needs to win out (again Tochiozan tomorrow and perhaps Onosho Sunday) to barely initiate an Ozeki run.
Yoshikaze needs to win out to control his destiny for a Sekiwake slot without having to depend on Tamawashi losing. He has Onosho and (likely) Ura.
Kotoshogiku needs to win out to stay in san’yaku; Tochinoshin should pose a stiff challenge tomorrow, as would Hokutofuji on Sunday.
If a san’yaku slot or two open up, Tochiozan is in the pole position, followed by Tochinoshin and Aoiyama, with Hokutofuhi and Onosho within striking distance. Other than these 5, it’s slim pickings for the upper maegashira ranks at Aki; amazingly, the M10 pair of Chiotairyu and Shohozan are the next-highest-ranked rikishi to make kachi koshi or even have a winning record, although Ura, Ichinojo, and Ishiura can still get there by winning out.
Kotoyuki and Gagamaru are headed down to Juryo, Kaisei is headed back up, and as of now Asanoyama would join him. Several others down in Juryo may end up promotion-worthy, but will slots be opened up for them through demotion? Sokokurai probably needs to win out to avoid demotion, and Tokushoryu, Okinoumi, and Nishikigi probably need a win; none have easy match-ups on day 14.