yes!! your are absolutely right! that's where it went wrong! awesome! that was buggin me a bunch
Nice job!
A thought on the calculation for the ring... I think you would want to use the circumference of the tube as a starting point. Then add the spacing that you want, which gives you your new circumference. That would come out to about 11.3" I.d.
I'm not sure if that's right either, but it's the formula I came up with a couple days ago when I was thinking about this.