>>2525750>free solo climbingNo rope, no harness, no gear. Exceptions can be made for a route with no walk off or easy way down and requires a tag line, harness and rap device brought along that is not used in the ascent.
>Free climbingGear, rope and belay is used, but the climbers body is the primary, if not the only allowed, means of ascent.
>aid climbingThe climbers entire gear system is used to aid in the ascent. Some free climbing may be employed between easy ground, but the gear is primarily used to achieve the ascent.
>solo free climbingThe climber uses the gear and system in a solo style, and free climbs the route using the gear as a back up in case of danger or as a backup. This requires the climber to do each pitch twice as free and aid on a fixed line and ascenders (unless they are absolutely insane).
>solo aid climbingThe tactics employed by the solo free climber, but the gear is the primary mode of ascent.
I think I covered most of it. Feel free to chime in autists.