The idea of culture as degrees of freedom raises several questions in the minds of people most accustomed to cultures of control where people are divided into power, responsibility and information haves and have nots.
We have what are appropriately called liberating structures. They are simple tools that make it more possible for people to be free to communicate, collaborate, connect, repair, be accessible and transparent, initiate, create, learn and grow the organization and its value. People do not become free simply in the absence of top down hierarchy and control. They become free because they have ways to be so. By analogy, we feel most free to build a house when we have the tools to do so.
Liberating structures are things like the Agile Canvas, social agreements, Open Space, the five nutrients of Growing Ideas and any decent collaboration tools like Asana, Trello, Google Drive and Slack.