Mostly when I'm listening to a lot of classical music. For example, the buildup in this from the beginning to the part at around 8:30 and after really put a system shock in me for quite a while. http://youtu.be/5vyCc_jFidw There are many more examples, but that one is the one that really stood out to me. Perhaps another, less frightening one: http://youtu.be/HkoeH5BtLyQ?t=1h9m4s That brass really put me to wonders. I don't know if it'll do the same out of context of the entire symphony, but I wouldn't want you to listen the entire thing for that one small part. But I would highly recommend the symphony anyway, since it's pretty good and full of moments like that. EDIT: Apparently from what Kafke says, music doesn't count as ASMR. That's frission. Fair enough. In any case, another experience with ASMR would perhaps be sound an oldish TV makes. I used to use a TV as an alarm when I went to school, so everytime I would be woken up with that distinctive powering up sound of the television. A few years later I stopped using it, but when I heard a similar TV sound, I had that woozy feeling in my head that felt really nice.
ASMR is more of an immediate thing. Sound -> reaction. Generally whispers trigger a lot of people. Binaural/panning sound is another one. One of my favorite ASMRtists do this "ksksksksksks" sound that triggers it. Haircuts are what caused most people to realize they have it, and there's actually a "virtual haircut" video (that I linked to in another comment) that triggers almost everyone. Bob Ross is also known for triggers, but I personally don't get triggered by his videos. As I said, music can be a trigger, it's just generally not. There's specific sounds that would trigger. But if it's just buildup/atmosphere, that's not ASMR as far as I'm aware. For me it's a pure sensory thing. Most people would agree that "asmr" caused by music is frisson, not asmr. I've never experienced anything similar to ASMR at all while listening to music, with the exception of a few songs that literally have asmr triggers in them.