Finally decided to print the 12 Hole Ocarina in blue and when I was looking around for the OoT add on, wasn't really happy with the models so I made one myself real quick.
Can either print in 0.1mm or .05mm.
Remove the brim and depending on your printer you may have to sand the piece a little bit.
As to keeping the band in place, hot glue is more advisable since there's a subtle gap between the band and the mouth piece. You can also smooth the surface with lots of sandpaper like I did. Should do ya wonders regarding quality.