I hear our neighbor’s cows mooing at night in the summer if they’re in the field near us. I never thought all that much about it, just assumed that when I didn’t hear them they were somewhere else.
But your question reminded me of this:
The problem with the August Full Moon
The problem with the August full moon is that it wakes the sheep up.
The sheep are locked up at night, along with the one stray rooster that doesn’t get along with anyone else, but when the moon is bright it looks like morning, and the sheep wake up, and get bored, and start chasing the rooster for sport. They like the loud sounds the rooster makes, and if he makes those sounds at three in the morning, when all proper animals have gone to sleep, so much the better, and when the windows are open upstairs in the big farm house because it is hot, and August, the sound of the two sheep chasing the one rooster at three in the morning on the night of the full moon echoes through every last bedroom until someone finally gets up and goes outside and rescues the loud angry rooster and yells at the laughing, bleating sheep.
But the problem with the rooster getting chased is that the noise wakes all the other chickens, because chickens stick together and even if they’re in different pens or different sheds or different chicken social clubs they all know the loud squawks mean another chicken, somewhere, is in trouble, and every chicken is hardwired to want every other chicken to always know when there is a single chicken, somewhere, in trouble, and that it might be a sheep or a bear or a bobcat or any one of the half-dozen vehicles and weed wackers and gas-powered chainsaws that all the chickens know are out to get them, personally, every day of their chicken lives, just as soon as they turn their little chicken backs. So now every single last hen and rooster is yelling warnings to all the other hens and roosters, because that is what they do.
The problem with the chickens yelling, though, is that it sets the cows off. The far-away cows, the ones next door, the ones in the cow field, not the sheep pen or the chicken pens but the ones that free-range through wide fields of tall grass and generally have a fine time every single day, …
It continues … it makes me laugh every time I think of it.
So maybe your answer is “October full moon.”