How about this, instead of traits, you have a list of questions your society asks, and you as the collective spirit answer.
Who is the highest authority?
Diety
State
Family
Individual
Who holds power(gender)?
Man
Woman
Both
What do we do with money?
Buy Luxuries
Use it to expand
Try to earn more
What do we do with outsiders?
Tolerate
Convert
Reject
What is the role of men?
Warrior
Submissive to woman
Laborer
Intelligencia
What is the role of women?
Warrior
Submissive to man
Laborer
Intelligencia
What is the role of family?
Serve the matriarch/patriarch
Protect interests of family
Support overall community
Prepare adults for independence
What do we value in a home?
Land
Function
Lavishness
Security
What do we do for entertainment?
Gamble
Fight
Theatre
Build
Some of these questions would need to be answered before you start(who is the dominant gender). Many of these choices are not avaliable until certain combinations of techs are reserached. ALso, some choices disallow other choices, the submissive sex cannot be a warrior unless you have a militaristic society with a certain tech. All fo choices would have different consequences and you would have traits, but ones militaristic is not hte same as another. These traits can be changed once every two-hundred years. Also, once a city has enough culture it can change one of the answers for just that city.