How long does it take to develop strong relative pitch if you are very poor to begin with? I know it's different for every one, but what do you think is average?
If you try to work on it from a more instrument oriented view, it will be easier. Once you learn to hear one note, say an E or D, work to derive all of the other notes from that one. There is no way to telll how long, maybe in about a month or two you should be able to hear what each note should be...hard to say really.