How do 32 and 64ths look if you swing on 16ths? Do they end up on a sine-like interpolated curve of sorts, or do changes in velocity happen instantaneously like a square wave?
It gets blurry beyond the first swingified level. Most common is binary subdivisions ( meaning that your 1/3rds become 1/6ths), but if the swing is slow enough, another layer of 1/3rds is possible too, making 1/9ths effectively.