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    As rationale for not using the default math fonts is often to get better match with text fonts, it would be interesting to mention which scripts are supported by the matching text fonts. For example as a far as I know the TeX Gyre only support the Latin script, which is a serious limitation for use in automated document production where Unicode characters may pop up from Cyrillic, Greek, Hebrew, CJK, ... Commented Apr 6, 2018 at 6:41
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    @jfbu This answer is CW with exactly that intention. Please add your improvements. Commented Apr 6, 2018 at 6:54
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    I don't know enough about fonts and don't have access to the commercial fonts so I hope the information will be added by someone else. Commented Apr 6, 2018 at 8:45
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    There’s also Berenis ADF Pro Math. However, fontspec complains that OpenType feature Style=MathScript (ssty) not available for font BerenisADFProMath with script Math and language Default and the PDF output uses Berenis only for the text fonts, substituting Latin Modern for the math. Someone who knows about making math fonts may want to look into fixing this one (and whether it’s worth fixing). Commented Apr 8, 2018 at 0:52
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    @jfbu I asked a question about this a long time ago What is the difference between unicode-math and mathspec? It could maybe be linked. Other than that I agree, that this is going beyond the scope. Commented Apr 10, 2018 at 0:34