Craft a piece of music that integrates both the suggested theme and letter-based structure.
X:1
L:1/8
M:2/2
K:Gmix
['B>Gd>G c>F A2 B>Gd>G', 'G>gd>e f>F A2 G>gd>g', 'B>G (B/c/d/B/) c>F (A/B/c/A/) B>Gd>G', '(a/g/f/e/) f>F']  
X:1
L:1/8
M:2/2
K:Gmix
 B>Gd>G c>F A2 | B>Gd>G B>cd>g | B>Gd>G c>F A2 | B>Gd>G c2 BA :| G>gd>e f>F A2 | G>gd>g B>gd>g | 
 G>gd>e f>F A2 | G>gd>g c2 B>A | G>gd>e f>F A2 | G>gd>g f>ga>f | a/g/f/e/ f>d c>FA>c | 
 g>d g/a/b g2 g2 |: B>G (B/c/d/B/) c>F (A/B/c/A/) | B>Gd>G B>cd>g | B>G (B/c/d/B/) c>F (A/B/c/A/) | 
 B>Gd>G c2 BA :| G>g (a/g/f/e/) f>F A/B/c/A/ | G>gd>g B>gd>g | G>g (a/g/f/e/) f>F A/B/c/A/ | 
 B>Gd>G c2 BAG>g (a/g/f/e/) f>F (A/B/c/A/) | G>gd>e (f/e/f/g/) a>g | (a/g/f/e/) f>d c>FA>^f | 
 g>d g/a/b b2 G2 |]  