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You can have a bridge that matches the compound radius
Strat bridges - set up as normal
LP bridges - set up as normal, may need to notch the saddles
fixed wraparounds- hard to make work
Floyds- saddles need shimming
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That's not correct.
The radius is conical so continues to get flatter after the last fret. The bridge radius should always be flatter than the last fret.
The nut will also be ever so slightly more curved than the 1st fret, but given these are quite close together the difference is negligible.
There is actually a difference in compound radius boards are measured which affects the choice here. if 10-12" refers to first and last fret then 14" radius would be a good choice for the bridge. I think some refer to the nut and bridge instead but its worth checking
The good news is, most bridges can be tweaked slightly to work as the difference is minimal
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However, strings also vibrate side to side which might create buzz in a very round radius. Unlikely but possible. There's the issue of choking bends as others have mentioned.
I have a carbon neck Steinberger with 16" radius where I can get sub 1mm action on high E but I'd need very light strings. For the SL vigier Sig, it's also worth noting it's a Gibson scale superstrat. Shorter string, smaller vibration arc... Maybe.
The point I was trying to make though, was that the bridge radius of a compound fretboard does not necessarily have to be a compromise. It is perfectly possible to fit a bridge that makes the strings match exactly the radius of the fretboard all the way down the neck.
Whether such a bridge is commercially available as standard is another question, but there are ways to mod commercial bridges to create the specific radius required.
I like a relatively high action and don't find it a problem personally.
And even if you did you'd lose most of your dynamic range as the strings won't have enough room to vibrate.
He was a one-off genius. Did you see the gig he did with a Les Paul? That was a guitar they gave him because he didn't have a guitar for that live recording*.
That certainly didn't have super low action. Forget about it, just get it comfortable enough and then practice.
* - probably hocked it for painkiller money