CHINESE JUMPROPE RULES I REMEMBER:

Different people have different styles of it, i remember… when i played it we didn’t have any songs or chants going on, but people would chant their traditional order of stepping. The one I knew went: “In, Out, Side to Side, In, Out, On!”
In: both feet inside
Out: both feet outside
Side to Side: both feet on either side of one long side of the jumprope, then on the other
On: both feet on the opposite long sides of the jumprope.

After passing one level, the setup of the jumprope would switch. If i remember correctly, the order went something like this:
(the names might not be the real ones)
Rectangle – each holder’s feet shoulder-width apart
Two Feet – two feet together
One Foot – jumprope only goes around one foot of each holder
Pizza – one holder does Rectangle, the other One Foot, creating a triangle shape
X’s – like rectangle, but with twisting the rope to make an X shape instead of a box
Back and Forth – the holders would move their legs back and forth, making the jumprope move
Shakesies – the holders shake their legs so that the jumprope moves randomly

After going through those levels (i think there were more but i can’t remember them, although i think most of the names ended in “-ies”), the holders would raise the jumprope to higher levels, such as to the knee.
Then you would have to do the whole thing all over again, but double-tapping at each step. If you got through all of that, too, you would get to triple-tapping, etc.