I once enchanted 104 duplicate amulets with the same enchantment(fortify Acrobatics on self), each set of two amulets under a different name(two named A, two named B, and so on), and then I went into a sewer and did the following:
-Equip one amulet named "A"
-Closed inventory and brought it back up
-Try to equip other amulet named "A"
The game forcibly removes the first amulet but not its enchantment, leaving me with the enchantment as a permanent effect.
Drop the two "A" amulets and put them somewhere out of the way, like an open-topped barrel in the sewer I was in. I believe for me, it was the
I repeated this with the other sets of two amulets, and when I came out of the sewer about an hour later I had an acrobatics skill of about 350.
Notes:
-It won't work to simply duplicate one enchanted amulet. Since they have to have different names, you must manually enchant each amulet and manually name them all. You gotta work to succeed.
-Right after you drop the duplicated amulets, without first closing the inventory, equip something on another part of the body(a pair of shoes works here). This will prevent the risk of the enchantment disappearing when a different amulet is placed in the duplicated amulet's spot.
-While the glitch will work with any article of clothing, do not use enchanted shields, as this tends to make the game crash on 360. And I know, if you were on PC, you wouldn't be reading this in the first place.
-If you could stand the monotony of manually enchanting and naming 104 amulets, how about 208? It works with any number of amulets so long as they're each named differently.
-A,B,C...
When you run out of singular letters:
-AA,BB,CC...
And so on.