Ring of fire, Ring of Air, Ring of ?

[Inziladun]

Ring of fire, Ring of Air, Ring of ?

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I was wondering about something. Given the fact that each of the three eleven rings is associated with an element (Narya is referred to as the ring of fire, Villia as the ring of water, and Nenya as that of air) does anyone else get a feeling that it was orginally Celembrimbor's interntion to craft four eleven rings, that is to make a ring of earth as well. I can even vagely imagine such a ring and what it would look like; it's stone color probably green (I would even go so far as to imagine that said stone would be of similar substance to that which makes up Aragorn's Ellesar (a really fun idea for a fanfic would be the implication that that is what the ellesary orginally was, intended rough for the stone to be set in the Earth ring, and only later re-classified as a sutible token for the King of free men. well what do the rest of you think?

According to the UT chapter The History of Galadriel and Celeborn, The Elessar given to Aragorn had one of two origins:

1. It was made in Gondolin by a smith named "Enerdhil". who gave it to Turgon's daughter, Idril. She gave it to Eärendil, who took it with him to Valinor. Olórin (Gandalf) later brought it with him to ME and gave it to Galadriel

2. Galadriel was complaining to Celebrimbor in Eregion about the fading and decay she saw everywhere in ME. He, out of love for her and knowing the first Elessar to be gone forever, wrought the second Elessar to ease her heart and allow her to heal the hurts of her realm and generally arrest the passage of time (basically the same power she obtained with her use of Nenya). After she was
given the Ring, she gave the Elessar to Celebrían, her daughter, who then gave it to Arwen.

I had never considered the 'elemental' question before and can find no evidence that was Celebrimbor's intention, but I suppose it is possible.
The Elessar, however, seemingly had no part, theoretical or otherwise, in the making of the Three.