Tyranny of the majority is still tyranny. There's NOTHING about the concept of democracy that requires majority-rule to be the way to run it. Majority rule is the stupidest and most dangerous way to do any democratic decision-making.

Better options include consensus, multi-stakeholder representation (like needing overall approval from many different groups within society for a decision), and score voting (See http://electology.org/ for more on practical voting systems).