Some Condorcet domains can be composed from smaller Condorcet domains by means of a certain construction, called composition. We will introduce several such constructions. Some of them are more suitable for never-middle domains and some for peak-pit domains. Here we consider a composition that is ‘friendly’ for never-middle domains. Other domains of interest are symmetric domains, which are domains that together with a linear order x contain its completely reversed (flipped) order \(\bar {x}\) .