What Jaz said, for stone, you need a floor that's twice as rigid. Maybe you got away with it in a bathroom or two because they are often stacked above each other and the traffic and loading isn't as heavy.
But this one?
I thought about using ditra, but they do not reccomend for natural stone.
Who doesn't recommend for natural stone? That should be a good one.
Your I joists should bear markings and with that info, call the manufacturer as Jaz said, and ask them what is the maximum allowable span to be at L/720 and build a closet wall below to cut the span to that amount, or, ask about fastening another 2x framing member to the bottom chord with full spread construction adhesive and screws to achieve the required rigidity.