I'm in the final stages of writing my Master's Thesis, and am now
turning to those typographical issues that have bugged me for some
time. The report is set in EB Garamond which I also use for math
(using unicode-math to set {l,L}atin, {g,G}reek and num, roman, italic
and bold - there is no bold italic, but I can live with that for the
time being. Symbols and the like are set using Asana Math), and while
I am happy with the overall look of things (manual intervention is
needed to space exponents at times, \(Y_0^0\) -> \(Y_0^{\,0}\)), some
things could be better.
I managed to fix the problem I had with math accents by using this solution: Bad positioning of math accents for the beamer standard font.
However, I still have problems with choosing CharacterVariant 5 for math italic:

If anyone could help me, I would be most grateful.
EDIT MWE:
\documentclass[a4paper,twoside]{article}
\usepackage{fontspec}
\usepackage{unicode-math}
\setmathfont{Asana Math}
\setmainfont[CharacterVariant={5,11}]{EB Garamond}
\setmathfont[range=\mathup/{greek,Greek,latin,Latin,num},
CharacterVariant={5,11},Numbers=Lining]{EB Garamond}
\setmathfont[range=\mathit/{greek,Greek,latin,Latin,num},
CharacterVariant={5,11}]{EB Garamond Italic}
\setmathfont[range=\mathbfup/{greek,Greek,latin,Latin,num}]
{EB Garamond Bold}
\begin{document}
Italic: \emph{v}. Math mode: \(v\).
\end{document}