Okay, so I caved....
Here is a list of the number of times Kappa Delta overlaps with other sororities:
Chi Omega - 82
Delta Delta Delta - 61
Alpha Delta Pi - 59
Kappa Kappa Gamma - 55
Zeta Tau Alpha - 55
Pi Beta Phi - 54
Delta Gamma - 51
Alpha Chi Omega - 51
Kappa Alpha Theta - 50
Phi Mu - 48
Delta Zeta - 44
Alpha Omicron Pi - 40
Sigma Kappa - 39
Gamma Phi Beta - 38
Alpha Phi - 34
Alpha Gamma Delta - 33
Alpha Xi Delta - 21
Sigma Delta Tau - 17
Sigma Sigma Sigma - 14
Alpha Epsilon Phi - 14
Theta Phi Alpha - 5
Phi Sigma Sigma - 5
Delta Phi Epsilon - 4
Alpha Sigma Alpha - 4
Alpha Sigma Tau - 3
Honey, I got a different number for our match-ups. You have 57 and I have 59.

(I'm not going to do a recount though.

)