The package just redefines \ne within the environment byzantinemusic the last part of the package is:
\newenvironment{byzantinemusic}{% enable the music-related versions
\let\kk\kkBMusic
\let\R\RBMusic
\let\oli\oliBMusic
\let\ke\keBMusic
\let\zw\zwBMusic
\let\boy\boyBMusic
\let\oy\oyBMusic
\let\pa\paBMusic
\let\ga\gaBMusic
\let\di\diBMusic
\let\nh\nhBMusic
\let\t\tBMusic
\let\tha\thaBMusic
\let\bm\bmBMusic
\let\kor\korBMusic
\let\red\redBMusic
\let\spa\spaBMusic
\let\p\pBMusic
\let\y\yBMusic
\let\g\gBMusic
\let\ela\elaBMusic
\let\s\sBMusic
\let\met\metBMusic
\let\ne\neBMusic
\let\na\naBMusic
\let\n\nBMusic
\let\k\kBMusic
%\let\b\bBMusic
%\let\x\xBMusic
%\let\xx\xxBMusic
\let\gg\ggBMusic
\let\arg\argBMusic
\let\dia\diaBMusic
\let\tri\triBMusic
\let\ypo\ypoBMusic
\let\bar\barBMusic
\let\th\thBMusic
\let\syn\synBMusic
\let\ysyn\ysynBMusic
\let\ll\llBMusic
\let\l\lBMusic
\let\L\LBMusic
\let\pl\plBMusic
\let\lp\lpBMusic
\let\gp\gpBMusic
\let\pg\pgBMusic
\let\ppg\ppgBMusic
\let\gpp\gppBMusic
%
\let\II\IIBMusic
\let\ν\νBMusic
\let\νε\νεBMusic
}{% enable the original versions
\let\ll\lloriginal
\let\l\loriginal
\let\ne\neoriginal
\let\arg\argoriginal
\let\th\thoriginal
\let\b\boriginal
\let\k\koriginal
\let\bar\baroriginal
\let\gg\ggoriginal
\let\L\Loriginal
}
(actually the last part resetting to the original versions does nothing as the group structure restores them anyway)
so you neeed \neBMusic or be inside the byzantinemusic environment.