Longest "word chain" of F/S?

[naraht]

How long of a list can you make from the NIC, NPC and NPHC fraternities where the change from one group to the next is the addition, subtraction or change of one greek "letter". (Addition and subtraction can be at either end or in the middle)

For example:
Chi Omega
Alpha Chi Omega
Alpha Tau Omega
or
Theta Phi Alpha
Alpha Phi Alpha
Alpha Phi
or
Alpha Phi
Alpha Phi Alpha
Alpha Kappa Alpha
Kappa Alpha *
Kappa Alpha Psi

(Kappa Alpha is sort of screwy here, since it is two different groups identified by Order or Society)