Study a psychrometric chart. note that the warm air that shows you 50% RELATIVE humidity, may be 70% RELATIVE humidity once cooled to basement temperature. So bringing in any new humid air won't help.
Unless the basement has a water source (i.e. ground water penetrating, hanging up wet clothes), all the moisture comes from air that enters the basement. Does the air come from an air conditioned home, or from the more humid outside?
If you don't have moisture sources (obviously you would want to remove those) and don't have infiltration from outside, just have some large opening to the rest of the house.
if you have a moisture source, or infiltration from outside, a dehumdifier may help. but careful, many people think they need one and show the water it collects as evidence. but if air comes in all the time, you are just dehumidifying the world. if your basement is just cold (look at psychrometric chart again), a dehumidifier won't work well,. they are rated to work at 80°F or some other ridiculous value.
No humidity problem will ever get resolved without looking at psychroemtrics. what, are you in Florida, or Arizona, or Alaska? Is the house cooled, and by what to what conditions? You won't get a good answer without that information.