The idea of this one is simple: it should not be itself, but it should be a kind of a chameleon — it should "imitate" as much other moving averages as it can. So the need for zillion different moving averages would diminish.

And it should have some extra, of course.

The extras:

• it has to be smooth
• it has to be able to "change speed" without length change
• it has to be able to adapt or not (since it has to "imitate" the non-adaptive as well as the adaptive ones)