The Tisbury selectmen and school committee are set to meet Tuesday to discuss a new school building project. The joint meeting will mark the first formal conversation between the two boards since the $46.6 million school building project failed at the ballot box in April.

The meeting begins at 5 p.m. at the Katharine Cornell Theatre.

There remains tension as town leaders decide the best course for starting over after formally withdrawing from the Massachusetts School Building Authority process last month.

At the selectmen’s meeting this week, board member Tristan Israel presented a draft mission statement with a suggested guideline of $27 million as a starting point for spending on a new school project.

At a school committee meeting a week ago Colleen McAndrews, who led the school building committee for two years, suggested that if a new committee is formed it should be a fresh start.

“I feel strongly that no members of the same committee should be on the new one [excepting the principal and the superintendent],” Mrs. McAndrews said.

School committee members have repeatedly called for leadership from the selectmen following the failed vote. But selectman Melinda Loberg, who attended the meeting, said the sentiment goes both ways.

“Without strong participation from the school committee, we won’t be successful at all. I would not see this as something selectmen will be in charge of,” she said.

School committee chairman Amy Houghton said it was unclear who should take initiative.

“In some ways, the school committee has felt beholden to selectmen to move this forward,” she said.

All the issues are expected to be part of the discussion at the meeting Tuesday. The meeting is open to the public.