I've been learning and singing Byzantine chant for over a decade now. In fact, I ended up learning programming because I wanted to create software for Byzantine notation, which is very different from western notation. Here's an example of (modern) Byzantine notation with renditions in western notation: https://cappellaromana.org/wp-content/uploads/2014/04/Cherub...
The top line of western notation shows a fairly straightforward version, while the bottom line shows one fully-ornamented interpretation. Note that microtones are used. As far as I can understand, ornamentation/interpretation can vary by teacher, and I once found a paper that analyzed the microtones used by various famous chanters to see the differences between them.
I never did end up creating any useful open source software for Byzantine chant. I did learn Racket, then Django, then became a programmer and now I'm a data scientist. So I partially ended up where I am because I was sick of typing out Byzantine chant using special fonts in Microsoft Word! There are now actually a lot of symbols in unicode for Byzantine music, but I don't think there's any way to handle the typesetting necessary for combining neumes in the various possible ways yet (think of how Korean works)... but I haven't looked into this for a few years.
I love this music, not only for the beauty of its sound but also the incredible richness of the hymns. There are teachers in the United States working on developing good methods for teaching all of this to people without such a cultural background, and critically, singing it in English so that the meaning can be understood by those who don't know Greek or Arabic. Chanting with my choir is one of my greatest joys in life. Glory to God for all things.