Half-tide doesn’t sound right to me, slack-tide is something else entirely, my google-fu has failed me.
“Stand of the tide” is offered by Wikipedia: https://en.wikipedia.org/wiki/Slack_tide?wprov=sfti1#Misconceptions
Stand of the tide seems different than the midpoint. At the midpoint the tide is definitely changing in one direction or another.
Stand of the tide seems maximum or minimum.
Idk the answer to your question, but it seems like there should be one. Equitide or something.
stand of the tide’, which is when tide levels ‘stand’ at a maximum or minimum
Isn’t that when it’s just standing at high or low tide?
Some googling leads me to find it’s either “ebb tide” or “flood tide” depending on whether it’s halfway falling or halfway rising, respectively. I’m not sure if this is exactly half way though, some diagrams make it appear that any time in between in either one of these, not necessarily half way exactly.
I think you’re right about slack and stand, and ebb and flood would work but it’s usually just a glimpse when I drive over a bridge that makes me think about it, so I don’t know which way it’s going.
Never liked the way half-tide sounded, I think I’m liking Mean-Tide, or Median-Tide if I’m feeling fancy.