The term 'Fluted on the March' is a reference to a type of marching style used by fifers in traditional military bands. FIFED is an anagram of the word 'FIFED, ' which is a term used to describe the sound of a fife, a small, high-pitched flute-like instrument. The sound of a fife is often used to accompany marching bands, and the term 'Fluted on the March' is used to describe the sound of a fife being played while marching.