If I say I have interest in music OR I have interested in music, Is there any difference in meaning of both?
Neither expression is good English. "I have interested in music" is just not English at all. In that context, 'interested' requires an object, as in "I have interested my young son in music." You could say "I have an interest in music". That would imply that amongst the numerous pursuits that interest you, one of them is music. Although that could be said, I doubt that it ever would be in such a general form. That formulation works in answer to a question such as "Are you interested in music?". Answer "I have an interest in early Dutch organ music."
What I think you mean would normally be expressed in English as "I am interested in music".