This theonym is rooted in an ancient IE *bh(e)idh-tos and is formed on the rootstem *bheidh- which is common to Latin Fides.
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The semones would then be a class of semigods, i.e. people who did not share the destiny of ordinary mortals even though they were not admitted to Heaven, such as Faunus, Priapus, Picus, the Silvani.