I received one of my Tioga Fastr-X tires yesterday. The other is backordered.
It fits my Air Friday! The critical dimension is the height under the brake bridge. My bike has Ultegra brakes, and there is about 3mm of clearance with the tires inflated to around 40 psi. Inflated to around 70 psi, clearance is reduced to something closer to 1.5mm. My brake bridges are set so that the brakes must be adjusted to close to their maximum reach; your bike frame dimensions may be different.
Here is a comparison with some other tires, when mounted on Velocity A23 rims, which have an internal rim width of 18mm.
Tioga Fastr-X: Folding, nominal 34-451, actual width 34mm, weight 258g
Primo Comet: Wire-bead, nominal 37-451, actual width 32mm, weight 277g
Schwalbe Durano: Wire-bead, nominal 28-451, actual width 28mm, weight 271g
Schwalbe Stelvio: Folding, nominal 28-451, weight 181g. (This is the tire that I carry as a spare!)
If you were to use a wider rim, I assume that the same tires would end up being wider but less tall. Since height, not width, is the most restrictive dimension, this might let you run a wider tire. I don't have any wider rims with which to try this.
I haven't actually ridden on the Tioga yet, but it seems to be light and flexible, which is promising.