No. Juggling 3 balls but throwing them higher is still 333. It's just that the beats are slower and so each beat represents more hangtime and therefore height

No. Juggling 3 balls but throwing them higher is still 333. It's just that the beats are slower and so each beat represents more hangtime and therefore height. Another possibility is to throw all three balls very high, so that all three are in the air at the same time for a moment, perhaps two extra beats. So each ball lands not three, but five beats after it was thrown. And no throws or catches occur during those two extra beats. Siteswap notation expresses that as 55500. There we go, the notation has helped us realize that this action is identical to throwing the first three balls of a five-ball cascade.