The Music book in the Jayose library lists "dwarves" as all being a cross between drunken poetry and bashing drumbeats keeping pace with the life of a miner. There are two points wrong here.
1: There are two very different kinds of dwarves in the game. They would not share the same music due to their very different ways of life.
2: Hammers fit the description of drunken poetry and drum bashing a little better, but Stones do not at all. Stones fit the mining 'flow' slightly, but the Hammers don't at all.
Hammers are warlike, not miners, and would have many martial beats and war chants in their heritage. They despise mining and would rather be out killing things or practicing the arts of battle.
Stones, on the other hand, are more folkish and would enjoy community-like and festive music that they could dance to (like the hobbits in LotR). They would have more work songs and chants for working in the mines than Hammers, but their true love of music would come out in the community 'flings', so to speak.
*edit* I was wrong in the following statement (and can admit it). It was a fellow editor, not the original author that had a tantrum and removed my edits between the time I made them and going ingame. Many pardons.
These issues were addressed when I edited the book before it went ingame, but that version somehow vanished in a tantrum from the original author.