Actually, you could assign your harmony to the right hand as Uncle Dave does, and do an incredible job on this song. You should hear some of his harmony creations - they're absolutely awesome.

Gary cool
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PSR-S950, TC Helicon Harmony-M, Digitech VR, Samson Q7, Sennheiser E855, Custom Console, and lots of other silly stuff!

K+E=W (Knowledge Plus Experience = Wisdom.)