When I'm inspired to emotion it has a lot to do with how the song relates to my own personal experiences, especially more recent thoughts and experiences, so singer/songwriter stuff works more on me that way than classical/orchestral stuff, or instrumental Jazz, both of which I find highly inspiring but not particularly emotional. Those create a more a soulful experience than an emotional, although a general emotion of joy comes along for the ride.
Trying to separate emotions from soulful experiences, or perhaps "fancies" as Edgar Allan Poe tried to describe them, is tricky. But I think it's fair to say that I know an emotion by my physical response. I feel it viscerally; tears flow, I laugh, feel butterflies of elation in my gut or gut wrenching pangs from fear or despair. These other experiences like wonder, fascination/obsession, or curiosity seem to be more confined to the mind, although not necessarily the intellect.
Ron, I almost laughed when you said you were trying to inure yourself against the music! I find this happens automatically for me over time. I still feel it, but the intensity fades with repeated listening.
Lately I discovered Judee Sill, who's songs emotionally stir me. In her case it's not that I necessarily relate directly to what she's singing about, but indirectly through experiences of people I care about.
Another song that I was very moved by hearing again recently was Cat Steven's rendition of Morning has Broken. It's a Christian Hymn, written by Eleanor Farjeon. Neither I nor Mr. Yusuf Islam consider ourselves Christian by faith, although he might have when he sung that. But there's a message there about life in general that I think transcends religion. Losing parents over the last few years makes me reflect on their lives, and how beautiful life is to us. It wouldn't be possible without the sun, and it's not going to quit on us any time soon. That brings tears of joy rather than sadness. I listened to it again last night. I love the sound of the backup singers. Apparently I've inured myself pretty well to that one. I'm sure something else will come along and hit me again soon.