I have a song right now that is like that for me. It goes by the name Sawdust and Diamonds, and was written and composed by a woman named Joanna Newsom.
If you already have heard of her you have probably already formed an opinion as to whether or not you like her music. Personally, the first time I heard her I laughed because I thought it sounded ridiculous. With further listening, though, it was like the hard outer shell of the coconut was shed away and I had access to the sweet milk within.

I don't think she sounds like either. I think that people are so ready to try and classify what she does that they try to compare it with what they already know. To put a label on it so they can understand it. The only problem is that she isn't quite any of the classifications or descriptions they have put to her. And so they find themselves struggling to explain just what it is she does. When what they really should be doing, is realizing that she can't be classified. She has found a style and sound all her own and it is unlike anything people have heard before, and as such can't properly be compared to anything. The only way to understand her sound is to hear it.
So any of you that are still reading and interested, I am going to provide you with the song 'Sawdust and Diamonds'. It was recorded live in Paris and isn't on any of her albums, and so is completely legal to download. Before you listen to this song realize that her voice might come off to you as odd, or unpleasant, but like the coconut, if you give it a chance you will find some wonderful music here. Also, I forgot to mention, she plays the harp. Forget all you conceptions about what you think a harp should sound like because it doesn't sound like that in her hands.
Sawdust and Diamonds, by Joanna Newsom
If you haven't stopped to listen to the song, do so now. If you have continue reading.
This song that I have just shared with you is an amazing work of art. I mean just look at a sample of the lyrics you just heard.
"there's a light in the wings
hits this system of strings
from the side while they swing;
see the wires, the wires, the wires
and the articulation
in our elbows and knees
makes us buckle and we couple in endless increase
as the audience admires
and the little white dove
made with love, made with love
made with glue and a glove and some pliers
swings a low sickle arc
from its perch in the dark
settle down
settle down my desire
and the moment i slept
i was swept up in a terrible tremor
though no longer bereft, how i shook
and i couldn't remember
and then the furthermost shake
drove a murdering stake in
and cleft me right down through my center
and i shouldn't say so
but i know that it was then or never"
It's not only that, she manages to change timings in her playing that would be difficult for even the most skilled of musicians. On top of that she plays both the rhythm and the lead on that same instrument. One on one hand, one on the other.
This isn't the only song that manages this either. She has many other wonderful works.
If you liked Sawdust and Diamonds, then I suggest you go here.
Go to the downloads section and check out some of her other unrecorded live works. Also, find her album in a store somewhere, which is entitled "The Milk Eyed Mender".
I had the happy experience of seeing her live at the Wexner Center for the Arts here in Columbus. It was one of the best shows I have ever been to.
If you didn't like it, I would suggest you give it a second chance, because you might just find the sweet center of the coconut.