"There were no greater days in Israel than the fifteenth of Av and Yom Kippur..."Go out, maidens of Jerusalem, and look on King Solomon, and on the crown with which his mother has crowned him..." Mishna Taanith 4:8
It's the woman - the mother - Batsheva and Ruth - who crowns the king, repairing the rift created by the moon. It’s the moon which first manifests the consciousness of "using" the crown, a consciousness which results in 'memshalah' - rulership - over day and night.
This fruit-oriented consciousness is mirrored by Chavah, resulting in Adam being memshal over her.