I just created a clan today and it's showing me as both an admin and founder. In the admin spot it's showing me connected to a Battlenet account, however I've never once used Destiny with Battlenet and I'm unsure how to get rid of it. Also, when I go to the clans page on Bungie it shows two clans I can choose from that are identical.
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Please log out of Bungie.net then log in using your normal ID. Once you've done so, go to your clan settings, then kick your other you out.