I will use your example. If I am wearing a polyester sweater and singing praises to God, I am still just singing praises to God. However, if I am playing a mechanical instrument and singing, then I am both singing praises to God, and playing an instrument. Those are two different types of music. There is one specified in the command, and that is singing.
Now we've run the distinction into the ground, and I still fail to get it. I think that makes it time to give it up.