ear training with dulcimer

I am teaching a workshop tomorrow on playing the Appalachian mountain dulcimer, so I thought I would do an ear training lesson today using my dulcimer.  The dulcimer is well suited to solfege singing because the frets are arranged so that you play a major scale when you start at the 3rd fret and play consecutive frets through number 10.  If you tune the dulcimer strings to DAA then you can play melodies on the A string closest to you and let the other two strings (D and A) sound a drone throughout.