I have been doing practice exams and having trouble with modulation. This was the modulation question.
Am I correct? If not, what did I do wrong and how should I do it? Thank you.
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I'm afraid I have to give my opinion that you've got them both wrong.
I think it's pretty clear where we get to at the end of the first line. That E# is a strong clue. (And we can remind our 'jazz harmony' collegues that a 'chromatic mediant relationship' is nothing new.) The second line is less clear. I don't think there's a anything worth calling a modulation at all, though both E minor (that D# is the clue) and C major are visited.
I can't see where you got D major from, but if it did occur I suggest you call it the 'relative major' rather than 'relative key'.
Ideally, you would now take my reply and any other constructive replies you get to your teacher and discuss whether he agrees, and why. Is this possible?
Adding to the first answer, the first mod is to either F# or F#m, then, as Laurence states, there is hardly a mod to either C or Am, so I guess those are answers which could do. Seems a bit vague to me. Whether that's the intent, don't know. Some exam questions are either written like that, or just not well written!