What is this style of ring called?

[MadOx75]

I took my girlfriend out looking at rings, and she really liked this "almost cathedral" style... But this doesn't show as a Cathedral ring, and I don't find things like this when I search cathedral. What should I be looking for?

 

[DDOC]

For me this would be a bridge style band with a cathedral setting that doesn't touch the shoulders.
Extremely annoying to wear as it will catch on everything, structurally not sound either for my money.