This is the melody played during the whole song, but one octave lower than the original.
I think that sounds pretty good, too.

E|------0-1-3--1-0---------------------------------------------------|
h|--3-3------------3-6\3------3-1------------------------------------|
G|------------------------1-2-----2-1-0------------------------------|
D|--------------------------------------3-(0)------------------------|
A|-------------------------------------------------------------------|
E|-------------------------------------------------------------------|