Does your music have “height”?

If you read a lot about HiFi equipment (like these forums or reviews), you've probably come a cross soundstage "depth" and "width" a gazillion times.
But how about soundstage height to quantify the size of the soundstage?
It's three dimensional after all.
I've never seen that mentioned anywhere (until today), nor did I ever had an experience of hearing "height".
Is there such a thing as height?
Have you ever experienced parts of the music that appeared to be coming from the ceiling or the floor?

I'm sure speaker height plays a big role. I generally consider music coming "across", rather than from above or below.
My speakers are at "mid-height" of the room height, so there is no "above or below".

I don't mean "height" as in "higher or lower position", but height as the 3rd dimension of the soundstage in addition to width and depth.