> [...] I don't know of another Lilypond code integration in TeX; [...]
You might try `lilypond-book`, which comes with LilyPond, amd which also has a LaTeX backend. I strongly suggest the development version to get improved support (mainly for the in-paragraph `\lilypond` command). https://lilypond.org/doc/v2.24/Documentation/usage/an-example-of-a-musicological-document https://lilypond.org/doc/v2.25/Documentation/usage/latex https://lilypond.org/doc/v2.25/Documentation/usage/music-fragment-options Werner
