If you have to use a fast shutter speed under such lighting, or you have photos you've already taken but have to recover, there is another solution: the white balance will be out from the top of the frame to the bottom (side to side in portrait). Set the WB correct in post for one side, and then apply a graduated filter with adjustments needed for the other WB. With a bit of trial and error (and combining it with possible exposure compensation) it can produce results which are spot on.This is a common problem when using fast shutter speeds under fluorescent lighting. You are using. Shutter speed that is higher than the cycle time for fluorescent lighting which is probably resulting in the odd color casts. Drop down to below 1/60 sec and you should be just fine.+1. This is the exact problem. The solution is to use 1/60th or slower, or use flash as your main light source. Or convert to black & white.
ps - this usually first becomes a problem not at the shutter speed to match the frequency of the lights, but at a shutter speed beyond the flash sync speed - at such shutter speeds, the first curtain is still moving when the second curtain is on its way, so you get a slit of light moving down the sensor. If by chance during that time the colour temperature changes from the light source, it'll show up. Slow down the shutter speed so the entire sensor is exposed as one, and the problem will be almost completely gone no matter what happens with the light source.