(1) Except as provided in section 16, in a case appealable as of right to the court of appeals, a motion for a new trial shall be made within 60 days after entry of the judgment or within any further time allowed by the trial court during the 60-day period.

  (2) In a misdemeanor or ordinance violation case appealable as of right from a municipal court in a city that adopts a resolution of approval under section 23a of the Michigan uniform municipal court act, 1956 PA 5, MCL 730.523a, or from a court of record to the circuit court, a motion for a new trial shall be made within 20 days after entry of the judgment.

  (3) In a misdemeanor or ordinance violation case appealable de novo to the circuit court, a motion for a new trial shall be made within 20 days after entry of the judgment.

  (4) If the applicable period of time prescribed in subsection (1) or (2) has expired, a court of record may grant a motion for a new trial for good cause shown. If the applicable time period prescribed in subsection (3) has expired and the defendant has not appealed, a municipal court may grant a motion for new trial for good cause shown.