Craft a composition that integrates the assigned alphabet-related musical pattern and the provided melodic theme.
X:1
L:1/8
M:2/2
K:G
['d2 B>gd>B G>Bd>B c>ea>g f>de>f B>gd>B g>dB>d', 'ADBD cDdc BGcG']  
X:1
L:1/8
M:2/2
K:G
 d2 |:"G" B>gd>B G>Bd>B |"D" c>ea>g f>de>f |"G" B>gd>B g>dB>d |"D" c>Ad>A e>Af>A | 
"G" g>dB>d g>ba>g |"D" f>dA>d f>ag>f |"C" e>dc>B"D" c>ed>c |"G" B2 G2 G2 d2 :|"D" ADBD cDdc | 
"G" BGcG ^cGdG |"D" ADBD cD d2 |"G" edd^c d4 |"D" ADBD cDdc |"G" BGcG ^cG d2 |"C" ecgc"D" fcac | 
"G" g2 b2 g4 :|  