1 since the clasps are movable they can be positioned to make it easier to maneuver the mount into the aperture 3 of the ring a plurality of pins 10 one for each clasps 6 are secured to the inside surface 8 of the ring each of the pins has a shaft secured to the ring at one end and an enlarged head on the other end of the shaft the clasps 6 has a pair of arms secured to a pivot 12 as shown in fig4 the arms have an enlarged portion 9 at the end opposite the pivot the dimension of the head is larger than the enlarged portion 9 however since the clasp is made from a slightly resilient material the enlarged portion will be able to expand enough to snap over the head once the clasp passes over the head it will snap back beneath the head and secure the clasp 6 and the gem mount 1 and the gem 5 to the pin 10 in this manner the mount can be secured to the ring 2 if the user wants a different gem in the ring she merely has to unsnap the clasps 6 from the pins 10 and remove the first gem then a new mount with a different gem will be secured to the ring by attaching the clasps on the new mount with the pins 10 of the ring using the mounting system of the present invention it is not necessary to have a large number of rings but rather one ring can be fitted with different gems and appear.