Minor = 1 thal gene (beta, E, alpha)
Major = 2 homozygous thal genes (both beta) or two heterozygous thal genes(beta + E, beta + alpha)
Intermedia = 2 homozygous E genes or two heterozygous thal genes (beta + E, beta + alpha)
I know I have put beta+E in both major and intermedia, but this condition can present itself as either non-transfusion dependent intermedia or transfusion dependent major. The classification of major and intermedia is really more a classification of symptoms, rather than the genetic condition itself (except for beta+beta, who are always major). The other thing to note is that non-transfusion dependent intermedia evolves into a transfusion dependent condition in majority of people over a few decades.
Hope that helps.
Poirot