Most effective discretization of multiple MAs?

I am looking for an effective way to collapse the interrelations of N-moving averages into X-discrete states.

Example:
X = 5 period MA
Y = 10 period MA
Z = 15 period MA


STATE A: X > Y > Z
STATE B: X > Z > Y
STATE C: Y > X > Z
STATE D: Y > Z > X
etc....

Then the market dynamics can be expressed as a string: "ex: AABACADAA..etc"

The goal here is to express the most information using the fewest possible discrete states.

Any ideas?