Flute Carving

I'm thinking of carving a fipple (duct) flute out of wood or bamboo to play
my favorite scale: 1/1 16/15 5/4 4/3 3/2 8/5 16/9 2/1 (sounds Middle
Eastern). Does anyone have any experience or suggestions with this sort of
thing? Since it would have only harmonic partials and the pitch would be
determined solely by the length of the air column, the calculation of the
hole positions would be much easier than the infamous wind chimes.

Stay Tuned,
Keenan P