An action for the violation of a city ordinance for which the right to a jury trial does not otherwise exist or in which the defendant has timely and appropriately waived a right to a jury trial in writing pursuant to rules of the supreme court may be tried and determined by the municipal judge without the intervention of a jury. In the event of an adverse verdict in a municipal court trial, a defendant may appeal as provided in section 40-18-19, but a waiver of jury trial in the municipal court proceeding also constitutes a waiver of jury trial in the district court.