A. To the City Council. No proposed change in this chapter which has been unfavorably acted upon by the City Council shall be considered by the City Council within two years after the date of such unfavorable action, unless adoption of the proposed change has been recommended in the report of the Planning Board to the City Council.

B. To the Board of Appeals and City Council. No appeal or petition for a variance which has been unfavorably and finally acted upon by the Board of Appeals or no application for a special permit which has been unfavorably and finally acted upon by the City Council shall be acted favorably upon within two years after the date of final unfavorable action, unless all but one of the members of the Planning Board consent to a repetition after notice is given to parties in interest of the time and place of the proceedings to consider consent and the Board of Appeals or City Council, as the case may be, finds specific and material changes in the conditions upon which the previous unfavorable action was based, describes such changes in its records and similarly consents.