A couple of things...you need to go read the ID info on the joists and probably call the manufacturer to find out what their rated deflection is...unless the plans called for stone tile, they are probably not rated for stone tile. If you can find the manufacturer's marks on the joists, one of the people here (probably Bob) can look them up and let you know.
A stone install also calls for a second layer of ply (at least 3/8" and I think I'd want more with your spacing), and even if it was ceramic, might be a good idea since the spacing is larger than normal.
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Jim DeBruycker
Not a pro, multiple Schluter Workshops (Schluterville and 2013 and 2014 at Schluter Headquarters), Mapei Training 2014, Laticrete Workshop 2014, Custom Building Products Workshop 2015, and Longtime Forum Participant.
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