With respect to music, I can occasionally imagine a few concertos most of the way through in rich detail, but more often just in detailed fragments. I don't seem to have much control over how it sounds, what it is (usually Beethoven or BWV 1004), or when I can do it. I listen to a hundred contemporary songs for every one classical and I can't so much as summon the tunes or lyrics of any of them. Truth be told I don't listen to much music as I find it impossible to think while doing so, as if it's all on the same metaphorical channel.
edit: on the tiger, I'm not expecting the person to solve the speckled hen problem. People with stable mental images can count the stripes off the picture, none should simply "know" how many are there. Some believe (until confronted with such a challenge) they think in fuller, richer pictures than they actually do.