Technicolor, that is a great idea to add space if you have a standard size opening. I may do that in another room. Our master bedroom has an 18' wide opening for the closet, so we need a way to hang multiple doors without a frame. Sochi, I would love to see pictures of the whole wall, as well as the hardware. I was planning on using wood veneer doors (rift cut white oak stained gray to tie in with gray tones used elsewhere, or maybe walnut to match the vanity), but using standard slab doors painted an accent color (a shade of grayish blue, likely) probably would be faster and cheaper to order. (Most of the walls in the house are painted Dunn Edwards Fossil - an off-white with a slightly cool, taupish-gray undertone, with a couple of accent walls in shades of blue.) What size are your doors? If I get rid of the custom built-in "armoire" in the center, I could use 3 pairs of 36" doors to span the space, with less expensive drawers, shelves etc. behind the doors. If I keep the 4' center section, I have 84" openings on each side. I could do each side with a single pair of 42" wide doors (or 40" doors if I use 2" thick vertical "columns" at each end like in the kitchen). I could also use four 20-21" wide doors for each opening, which might look nicer, but will cost a lot more to buy twice as many pivot hinges plus the contractor's time to install the extra hinges. We do have enough floor space to open wider doors, so it is just an aesthetic and cost based decision. What do you think would look better?

Thanks CTEC! And thanks everyone else. This forum is truly a life saver! Really good call CTEC. This is the best picture I have on hand. Will get a better one when I get home.

I'm assuming you've tried a basic Google search for "pivot hinge" and "90 degrees"? https://www.grainger.com/category/hardware/door-hardware/hinges/pivot-hinges?attrs=Range+of+Motion%7C90+Degrees&filters=attrs If all else fails, consider installing some sort of stop. There are stops you can put on the hinge pins of the hinges themselves, and then you can adjust them to where you want them. If you don't want to risk that the adjustment would shift, you can buy bolts to put on there (one on each side of the hole and then tighten them toward one another) Hinge-pin door stops https://www.homedepot.com/p/Everbilt-Satin-Nickel-Hinge-Pin-Door-Stop-15586/202033981 

Thanks both - sorry I don't have photos as it's a new build a few hours away and I'm not on site, but I'm attaching here an image of something more or less the same as what we have. This image would be if you were standing outside; the door itself is inswing and the stile you see between the door and the fixed panel is hollow vinyl. I already reached out to Phantom Screens but they're the ones that said it wouldn't be smart to try to affix to the vinyl stile, and in order for them to affix to top and bottom of jamb only, they'd have to build out the top jamb by a few inches to cover the gap between where the screen is affixed and the jamb itself, since the cassette is quite deep - which in my opinion would look awful. So that's why I'm wondering if a normal hinged door with hinges on the top and bottom might be better, as I think it could be shallower than the phantom cassette and therefore not require the build out?