CAIRO — President Mohamed Morsi of Egypt took responsibility on Wednesday for “mistakes” during the run-up to ratification of the new Constitution and urged Egyptians to appreciate the fierce disagreements about it as a “healthy phenomenon” of their new democracy.

Appealing for unity after the bitter debate over the charter, which was finalized by his Islamist allies over the objections of opposition parties and the Coptic Christian Church, Mr. Morsi pledged in a televised address to respect the one-third of voters who cast ballots against it. “This is their right, because Egypt of the revolution — Egypt’s people and its elected president — can never feel annoyed by the active patriotic opposition,” he said, bobbing his head between the camera and the lectern as he read from a prepared text. “We don’t want to go back to the era of the one opinion and fabricated fake majorities.”

But Mr. Morsi offered no concrete concessions, and he did not acknowledge any specific errors, saying only, “There have been mistakes here and there, and I bear responsibility.” His most tangible outreach to the opposition was an invitation to join a so-called national dialogue that has already begun under his auspices. Hussein Abdel Ghani, a spokesman for the main opposition bloc, dismissed it as “a dialogue with himself” based on “political bribes.”

Still, Mr. Morsi’s attempt at reconciliation, however vague or superficial, represented another notable step in Egypt’s political transition. Here was a recently elected politician seeking to move from the brutally partisan campaign back to the political middle. The speech echoed many American inaugural addresses.