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What is the simplest and cheapest solution to get them to play nicely together?
Simplest full-function method is a Marchisio cassette, with 10 sprockets at 11-speed spacing. Quite expensive though, so it might be cheaper to rebuild the wheel with a 5800 hub and cassette. If your turbo has easy resistance adjustment, the ghetto method is just run it as a two-speed by leaving the chain on the top sprocket and front-shifting for gross adjustment.
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Are you sure it's a 10spd freehub and won't take 11spd? I'd probably swap it or get the freehub body machined down to allow 11spd cassettes to fit and buy a cheap 11spd cassette.
Wait, no I wouldn't, I'd use the 11spd in the turbo. Who has time for swapping wheels just to use a turbo? This option is also £free.
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Get an 11 speed Shimano cassette, remove one of the middle sprockets 16/17 AND the spacer.
Take the spare spacer and put it onto the freehub before fitting the rest of the cassette (minus the 16t or 17t) and it will work fine, just don't shift into the "missing" gear.
This is what I do on my Lemond Revolution and I don't have to mess about with the indexing at all when swapping between wheels and it.
My bike has an 11sp shimano drivetrain, but my turbo wheel has a 10sp shimano freehub and cassette.
What is the simplest and cheapest solution to get them to play nicely together?