* "Gynai" (gī-nī): The "y" is like the "i" in "machine" or "believe."
* "kra" (kra): The "k" is hard, like the "k" in "kite."
* "tia" (tē-ah): This part is similar to the "tia" in "tiara."
Putting it all together, the pronunciation is roughly "gī-nī-kra-tē-ah".
You can also find audio pronunciations online by searching for "how to pronounce gynaikratia" on sites like Forvo or Merriam-Webster.