"We are so accustomed to majority rule as a necessary part of democracy that it is difficult to imagine any democratic system working without it. It is true that it is better to count heads than to break them, and democracy, even as it is today, has much to recommend it as compared with former practices. But the party system has proved very far from providing the ideal democracy of people's dreams," writes Kees Boeke in "Sociocracy: Democracy As It Might Be.
Sociocracy offers a flavor of democracy that attempts to compensate for the shortcomings of both majority rule (tyranny of the majority) and consensus (tyranny of the minority). It offers the opportunity to transform organizational decision making from "a struggle for control into a process of puzzle solving," write Sharon Villines and John Buck in We The People: Consenting to a Deeper Democracy. Puzzles to be solved might include proposals that go through rounds of clarification, reactions, and tweeking sufficient enough to reach agreements that are "good enough for now," ones that allow an organization to move forward even when movement might look different from the idea initially brought to the table.
Additional information can be found on the Wikipedia page on Sociocracy.