There are tunes on the site that are playable on the Moraharpa, but have been taught on Nyckelharpa.
Here is a list of some of them. I think they are all going to work on Moraharpa - I'll test them all out as soon as possible and make videos! They are all going to go up the D string and involved a little bit of climbing:
Up to A
Björnen Sover
Up to B
Buffens
Små Grodorna (second version)
Så Går Vi Runt Om Ett Enerissnår
Olle’s Födelsedags Låt
Up to D
Rutebilen
Flitter Dance
Farewell to the Astra
Vintage Puget
Rufty Tufty
Up to E
Marie's Wedding
Jamaica
Schottische a Virmoux
The Scots Branle