You cannot get emancipated from only one parent. You can only get emancipated from both parents.

Further, Oklahoma's emancipation law is extremely limited and relates to your right to enter into binding contracts, not to live independently.

If you want to live with mom, you'll have to either get dad to agree to that move, or you'll have to convince mom to petition the court for change of custody (and hope that she prevails).
Quote Quoting Oklahoma Statutes, Sec. 10-91. Authority of district courts.
The district courts shall have authority to confer upon minors the rights of majority concerning contracts, and to authorize and empower any person, under the age of eighteen (18) years, to transact business in general, or any business specified, with the same effect as if such act or thing were done by a person above that age; and every act done by a person so authorized shall have the same force and effect in law as if done by persons at the age of majority.