I stole this name from David Byrne's book.
One thing I know.
You don't have to play the third, they hear it anyway.
Not playing the third gives people space to move into the music.
If you play the third, they will hear pretty much the same thing.
If you don't play the third, each can hear it in a unique way.
If I do not invite you into the music, into its space, you can't take it with you.