I keep my collection in a finished basement. I have never had any evidence of moisture, however, I did notice the first year some mildew forming on the surface of some machines (not all) and some record albums (again, not all). On the east coast it is humid and we generally do not run the AC unless it is oppressively hot and humid which means only a few days to a week or so over the season. I determined that the surface mold was likely present on the machines and albums from before I aquired them since it formed on one machine and not on the machine next to it (same with the albms). I purchased a digital tempurature/hydrometer and watched the conditions over a few weeks. I noticed when it got hot/humid outside, the basement, while cool, would rise in humidity. I ended up purchasing a larger room de-humidifier and that resolved the problem. Though it looks out of place in the room I have been on the lookout for a old machine cabinet that was not worth restoring, but had an acceptable appearance to house the de-humidifier. (before you go all "don't do that" on me

it hasn't happened as I haven't found such a cabinet that met the "too far gone to restore, but looks good enough to display" criteria)
I have not had any issue with mold on my cylinders, both brown wax and black, though, I don't believe that what is called mold on black wax is actual mold but is a chemical reaction, but I digress.
It has been several years and I don't recall the optimum humidity range. Perhaps it was discussed on the board in the past, or is specified on one of the archive sites, or someone else on the board knows. I would recommend getting a digital meter, the ones that are accurate to within a few percent are not expensive and will provide a close enough measurement to tell you whether you should condition the air.