Utilize the alphabetic system of the specified musical pattern and the supplied melodic theme to create a piece of music.
X:1
L:1/16
M:4/4
K:C
['G2D2 G2A2']  
X:1
L:1/16
M:4/4
K:C
[M:3/4][K:G] e2 G2a2e2c2 ve2"^Casadh an tSugain"[Q:1/8=100]"^moderate" D2 |"^1" G2D2 G2A2 BcBA | 
"^2" G4 BAG2 A2>E2 |"^3" G2D2 G2A2 BcBA |"^4" B4 d2e2 e2>d2 |"^5" gfed edcB dcBA | 
"^6" G4 BAG2 A2E2 |"^7" G2D2 G2A2 Bedc |"^8" B4 A4 G2d2 |"^9" gfgd e^deB =dcBA | 
"^10" G4 BAG2 A2>E2 |"^11" G2D2 G2A2 Bedc |"^12" B8 A2>G2 |"^13" G12 |]  