15-ish so without nitpicking over numbers and to clarify, yes, I would put mid rises in that category. I understand some seem to prefer the more centrally-located amenities and limited walking these newer structures provide. But as others have mentioned, the other issue with these newer projects is the lack of theme and architectural quality/cohesiveness relative to their surroundings.
The original WL and AKL buildings are great examples of mid-rises that meet the expected WDW standard of quality. They are both jaw-dropping architectural gems rich in detail and theme and worthy of inclusion in the WDW landscape.
Many of the newer DVC projects and mid-rises, including the one at the Poly, fail to meet either bar. They're taller *and* more generic which is why they stand out as incongruous. If they didn't look so bland and cheap (relative to what we know WDW is capable of) their placement, while still intrusive, might be easier to justify. But in the case of the "Polyday Inn" you get the worst of both worlds-- a taller structure that's incongruous by virtue not only of its height, but also its lack of cohesive theme relative to its surroundings.
What troubles me and others here is that this project is part of an ongoing and disappointing trend toward the ordinary-- in what's supposed to be an extraordinary place. You should never expect to see mundane structures common in everyday urban landscapes at WDW. It's what folks go to WDW to get away from. Yet here we are. It's a paradigm shift that's fundamentally changing the nature and essence of the resort in incremental but irreversible ways.