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Looking to get a new bottom headset cup for my Titus Fireline.
It has a tapered headtube and my forks are Pikes with tapered steerer.
The bottom cup sits outside/below the steerer tube
I can't work out if I want F or H?

Assuming it's a Planet X frame, you should probably phone them.
According to their website, their Fireline uses an FSA Orbit ITA. This appears to be for a non-tapering head-tube with 44mm ID. And looking at a photo of their Fireline suggests it does have a non-tapering head-tube (doesn't mean it's not for tapered steerer forks of course)
If that's the case, you want a Hope H lower cup. An F is for head-tubes with an ID of 49.7mm.
And you do want Hope, that's for sure ! Most other stuff is ****.