When we set the action at a conventional slotted nut we generally try to set it such that when the string is pressed between frets 2 and 3, it clears the first fret by a very slight amount - a couple of thousandths, usually. In order to achieve that same kind of action and clearance for the open string, a zero fret needs to be that same tiny amount higher than the corresponding frets.
Why do we want that little extra clearance for the open string?
1. the open string tends to ring a bit more because it isn't damped by the fretting finger, so it may be held a bit more firmly. That tiny extra clearance helps keep open strings from buzzing while not sacrificing much ease of play.
2. open strings may get hit a bit harder, particularly the bass ones in heavy attack, because they are not as "protected" from a deeper pick attack as the others that are shielded by the bass strings. Most obvious in chording, where a big windmill attack can whack that G string on a mandolin a guitar's low E.
3. Tuning draws wound strings across the nut or zero fret, causing a bit of wear, resulting in lower action over time, and possible buzzing. Having the zero fret exactly at the minimum height allows for no margin of safety on that.
Those are general considerations for most instruments. Dulcimers virtually never have "challenging" action if they are in relatively good shape with decent fret and fingerboard condition. A little extra height at the nut or zero fret won't be much of a problem, and has been well said earlier, the low tension strings won't be as likely to rattle against the first regular fret.
Bookmarks