Antonyms for the word "most patriarchal" would include terms that describe societies that are more egalitarian, inclusive, and diverse. Some antonyms could include "matriarchal," "matrifocal," or "egalitarian," which suggest a more balanced distribution of power between men and women. Other antonyms could include "inclusive," "diverse," or "multicultural," which emphasize the importance of recognizing and valuing differences in gender, race, and ethnicity. Ultimately, the opposite of a patriarchal society is one that values everyone's contributions equally, regardless of gender or other factors, and provides equal opportunities for all to succeed.