For human behavior, this was harmony resulted from behaving temperately or by exhibiting moderation. Most Pythagorean women's writings demonstrated that life was harmonious. They also wrote letters to other females about various female behaviors and expectations- women's chastity, women's duties, and women's behaviors if their husband were to acquire a mistress. I agree that men should be generals and city officials and politicians, and women should keep house and stay inside and receive and take care of their husbands. Courage and intelligence are more appropriately male qualities because of the strength of men's bodies and the power of their minds.
Chastity is more appropriately female.
These women understood their place in society and while remaining within these boundaries, they carved out their names in history. Theano was the most famous woman of the Pythagoreans. Things are like numbers because by their participation in the universe they can be sequenced with other objects and counted. An apothegm attributed to Theano concerns the immortality of souls, and the transmigration of souls. In a harmonious universe, everything has a specific place and function according to some laws- the laws of physics, logic, morality or religion.