Well hers how i made mine, I dont know if youd consider it clean, but it sure looks even and everything under my jewel
First you draw out the shape of the ring on a peice of paper, and put a line directly thru the centre that way you know it will all be even then punch however many leds you want around the circle
then bend all the negative leads in, and positive leads out on the otherside of the paper
next connect all the negatives
Do the same for the positives
make a wire extending off both sets of wires you made one for positive one for negative, solder on the resistor, to the positive lead...
next put glue on the back of all the solder joints to aviod shorting, (this also keeps the leds in place, so they can be easily adjusted to make sure they are center.
FINAL PRODUCT (looks bad cuz i used UV leds, and its hard for my cam to pic them up)