Oregon Revised Statutes Elections § 258.181

(1) Except as provided in subsection (4) of this section, only one recount shall be made for any measure, nomination or office for which a recount may be demanded.

(2) If two or more demands for the recount of the same measure are filed with the Secretary of State the demand first received by the Secretary of State shall be considered the demand for a recount.

(3) If two or more demands for the recount of the same nomination or office are filed with the Secretary of State the demand received from or on behalf of the losing candidate receiving the highest number of votes shall be considered the demand for a recount.

(4) If the demand for a recount under subsection (2) or (3) of this section specifies a partial recount, any elector may file a supplemental demand as provided in ORS 258.161.