Right use of semicolon?

but I was stumped; it seemed so subjective

The punctuation enclosed therein is a semicolon, and it is used correctly.  The sentence is fine.

Thank you.

Let me rewrite my original question with proper articles:

Is this the right use of a (semi, sorry)colon or more simply, is this the right sentence?

OK, going back to the original tract, I am use to seeing semicolons being used with two independent but linked-in-content sentences, and the sentence stated in the origial post had three clauses (I think) with the second clause being connected with the conjunction "but."  Do you think it is a good sentence that demonstrates a good use of a semicolon?

Generally speaking that might be fine, but I was stumped; it seemed so subjective. 

Hi,

I'd just like to add my usual recommendation that semi-colons should be used very seldom. A sentence like this seems to me rather trite for the use of one.  

If you make two sentences, the pronoun 'it' seems to tie the second one to the first one adequately.

Best wishes, Clive

Not "seldomly"; seldom is already an adverb. There's no such adjective.

Generally speaking that might be fine, but I was stumped; it seemed so subjective.

I disagree with Marius that a comma is appropriate here. I'd say

... I was stumped; it seemed so subjective.
... I was stumped. It seemed so subjective.
... I was stumped, because it seemed so subjective.

The semicolon is a "light" full stop/period. It's more a question of style which of the two you use. In the English-speaking world the semi-colon is used a lot less nowadays or is often substituted by a dash, which personally I don't like as people use also for the colon and no longer know the difference (of course in informal writing we use commas all over the place).