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(A) "their holding" is awakard
(B) "their uniting ideal" looks vague.
(C) "The Five" should be "one another", not "each other"
(D) "based on" is wrong. The composers are not based on something. Instead, their music is based on something.
(E) looks good.
OA is D. OE doesn't say much expcept that D is the answer
My analysis was
(A) least of all the evils. I think sometimes possesive pronouns followed by verb+ing is ok. eg: I am impressed by your swimming.
(B) awkward, ideal repeated
(C) each other is wrong
(E) unidiomatic. IMO united with can be used to introduce a person/thing someone is linked to, not the means of uniting. Did a few google seaches and seems to be correct.