If the city council finds that such protests are signed by the owners of a majority of the frontage of the property fronting on the street or portion thereof on which the change or modification of grade is proposed to be made, all further proceedings under the ordinance of intention shall be barred for six months from and after the filing of such majority protests, except as provided in this chapter, unless the owners of a majority of such frontage shall in the meantime petition the same change or modification of grade to be made. A new ordinance of intention to make a different change or modification of grade of the same street or portion thereof may be passed at any time.