I think these skills are to some degree learnable.
That orchestra conductor probably spent a large part of their life studying music. Part of learning music is ear training: the ability to name/write chords by hearing them, and conversely to "hear" them in one's imagination given the name (or from written music). No different than the way many people "hear" words in their head when reading.
They are, indeed, learnable. Even a mediocre amateur musician like myself learned to 'hear' the music when reading simple scores. Took a while though. But it's useful. I can look through score music and pick the ones I like, without having to actually play from the score first. Pros and orchestra conductors are on an entirely different level of course.
It's not that hard at all. After some years studying music as a kid I can read piano sheets. He with 10+ years of experience can definitely cope with much more complex ones.
Ha, don't feel bad. That skill is important for maybe less than a thousand people in the whole world to have. And it can be done with computer programs anyway.
Actually, this is not true. Find me a program that can extract the scores from a complex piece of music and attribute the right notes to the right instrument/voice. I haven't found one yet. But maybe that's because I am not versed in the music analysis software available. Never needed it. Now I think of it, it would be really handy for my job though. If you know of one, please let me know. Especially one that can analyse the music live and then transposes it to midi notes/OSC without a hefty lag.
Well, composers, conductors and improvisers (e.g. jazz, folk) need to have it, so that would put it to several hundred thousands, not "less than a thousand".
Maybe, but I think improvisers wouldn’t even have to be able to read music at all. Just imagine sounds that go with the current tune and then play them. You don’t have to picture a score in your head to do that. Whenever I’ve jammed with other people that’s how it’s worked.