I've heard a lot of people say that they don't care about high quality sound because they can't hear the difference anyway. I think they just aren't willing to try. But if they did - for more than just a minute-long demo - they'd start to understand why people choose to spend extra money on headphones or speakers.

I think it also helps if you listen to good music where higher sound quality can actually be discernible. Some people have a go to list of songs they listen to when testing new headphones. For me personally I test headphones with Bohemian Rhapsody.

10 of the best tracks to test your headphonesHere are 10 tunes that give your headphones no place to hide (figuratively, we mean - obviously your headphones are right there on your head)...www.whathifi.com

Yeah, the most important thing for testing is that you play music you're familiar with. The better you know it, the better the test will be. You want to be familiar with how the bass is deeper or maybe not as deep, but cleaner. Or there's better treble extension. If you're picking out bits you weren't hearing before that's definitely something to think about. Silent Shout by the The Knife is almost invariably the first track to get played when I'm listening to new gear. I like Olafur Arnalds and Ashes to Ashes by David Bowie for testing as well.

Higher recording quality (and encoding quality for digital music) will always help. But you will probably notice the effects of a step up from the speakers before you start to realize an album wasn't recorded very well. After you get used to better sound and start moving up, then you'll be able to better hear differences in recording quality. Then sometimes you kind of stop listening to certain albums as much because it doesn't sound as good on the better system. But probably not with your first good set of transducers.