Having said that, 15-tet is pretty rancid. 22-tet can be much more consonant.
Try this, which is in just intonation:
https://www.youtube.com/watch?v=1uZUQqOLyPQ
It's contemporary but still sort-of accessible for many people.
I'm sure you've heard about this: https://en.wikipedia.org/wiki/Just_intonation
Most people brush off the concept because of a lack of accessible music, and because a lot of musicians writing the music, well, let's just say they lack a sense of popular sentiment. I don't think it discredits the theory, which is based in physics. Potentially, tuning intervals by ratios can be used to write the same style of music we are used to (without tempered intervals) just as well as providing harmonies that we don't have access to in our prevalent (Western) tuning system.