interesting page 

There's some good info here, but as Calum says, there are also some errors here.

>By the Right Quick March: The Pipe Majordirects the band with words that express the tempo - Right Quick March.

A "right quick march" doesn't exist.  The Drum Major directs the band to play a quick march, yes, but the phrase "by the right" is not related to the tempo.  This tells the band which file (in this case, the right file) to take their dressing from.  The right is usually the side the pipe major is on, either on his own, or as the right hand person in the front rank.  You often hear "by the centre" as well, with "by the left" being far less common.