It’s a topic that recurs every “Pi” day - http://en.wikipedia.org/wiki/Pi_Day (which day works if you use American date format but not English). I have already seen Pi rendered as a Waltz. Here it is in ABC format, which Folkies use to transfer music. You can download something like ABCExplorer to actually play the tune. Here it is (credited to HD Sarah, who wrote it) :
X:1
T: Pi 111 (a Pi Day Waltz)
C: “HDSarah”
M:3/4
L:1/4
K:G
B G c| G/d/a2 |A/e/ d B|d3/g/ a|faB|A/B/ g c|eAe|c2B|
BgB/A/|f/a/ d b|A/g/ gc|G/a/f G|e a/B/a| a2 B|f d2|G2 z||
||bdg|A/b/ af|c/a/c c/d/|aA2|B/b/f g|G/e/c b|e A/g/ e|A/b/ g2|
a a/g/e|A/g/b B|c/g/A d/B/|c A/G/ G/f/|bef|a g A/G/|c/g/ b/g/ e/d/|G2 z||
