Some times things just dont work out in a relationship. When someone says 'can we still be friends ?' , I take it as a sort of , oh I dont know, but a compliment to who you both are. It's a way of not assigning blame. You are both good people but it just didnt work out. If some one still wants to be your friend it can be like saying you are still valued , but were just not meant to be.
I understand it still hurts though and I'm sorry you are feeling sad and hurt.
I know you have friends who care deeply for you and are offering their love and support. Stay close. I aggree with Flipper about music. Sometimes we cant find the words to express our feelings, feel alone, or not understood, but we find comfort and a sense of kindred spirits in music in those quiet times.
"this to shall pass"
Take care of you.