Tolkien's music

[Elmo]

On a lighter note from my last topic I'd like to discuss a topic which is of great interest to me the songs that the characters sing during Lord of the Rings. I love the Tolkien's poetry and I am wondering whether Tolkien had any melodies in mind when he wrote the words. Was he much of a musician?

I've posted below a musician who wrote melodies and sang the songs in the book. I'm wondering whether people think he has done as good job of it as I think he has.

My favourite is his interpetation of Beren and Luthien I think it is very poignant and beautiful. I was wondering if the completed version is anywhere and also if Tolkien ever completed 'the fall of gil galad' (by the way there is an excellent version of this on the bbc's audiobook, I managed to work out the melody on the piano)