I would like to add that the field DISCNUMBER is a numeric field with exception of the slash.
Adding letters would break that and lead to possible irritations in players. IMHO it is the task of the player to supply a suitable label for a field.
If you really want to add disc names (like Dawn to Dusk and Twilight to Starlight for the Smashing Pumpkinsʼ 1995 double-CD album Mellon Collie and the Infinite Sadness), TSSTset subtitle seems like the appropriate field in ID3v2.4 (not available in v2.3), since it āis intended for the subtitle of the part of a set this track belongs toā and set could be a physical disc among other meanings. Mp3tagʼs respective variable name is SETSUBTITLE and there is no equivalent predefined box/atom for MP4 tags.