I like making things with captive rings - for example baby rattles or as show-off features on little goblets. Can anyone tell me the best way to ensure that the inside of the ring is finished to the same standard as the outside of the ring. At the moment I do this one of two ways. (1) narrow strips of abrasive passed through the ring abrrasive side against the inside of the ring, and just worked by hand, holding each end and pulling it back and forth with a sawing motion. This gets off any rough bits left inside the ring when you parted it off. (2) Putting a bit of sticky tape on one end of a strip of abrasive, and winding the strip round the spindle. You wind it anti-clockwise when viewed from the headstock end so it tends to tighten as you operate the lathe. [If you do it the other way round it tends to unwind!]. Then you turn on the lathe, hold the ring by hand and work it round the abrasive on the rotating spindle. That gets a smooth but not polished surface inside the ring.
But is there a better way to do this? My methods are fiddly and imperfect, and take a while if you have say three rings on a rattle. There must be some better ideas out there! Advice please