Right now, the default text fonts in Lilypond are TeX Gyre Schola, which
is a variant of URW Century Schoolbook. However, there are some issues
with the fonts, in my view. For instance, look at the tittles of the i
and j: they have been shrunken and lowered, unlike in all the
professional versions of the Century Schoolbook design.
I suggest that we switch to the 2.0 release of the URW fonts (Schola is
based on the 1.0 release). The font is called 'C059' and is available
here: https://github.com/URWTypeFoundry/Core_35. In comparison with
Schola, C059 adds monotonic Greek and Cyrillic support (Schola has
"Greek" but its characters are unusable). The only disadvantage is a
slightly smaller Latin-Extended glyph supply in C059 vs. Schola.
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