That's just a basic 4 prong setting with a comfort fit band.
I don't think the comfort fit is pretty but if that's your choice you will have many options. Just google '4 prong comfort fit solitaire setting." (Try the White Flash 4 prong knife edge for a prettier option.)
Re: Have been looking for a semi mount setting like this one
Ricky, would you clarify something for us -- do the "shoulders" of the ring taper in towards the center stone? It kinda looks that way to me, but that possible narrowing may be due to the camera angle.
Re: Have been looking for a semi mount setting like this one
To me this looks like a round set in a princess setting with the protective corners. Anyone else seeing that? I feel like that is what creates that v-shape on the outside of the prongs and the reason for the very squared-looking basket.