Maybe worth considering ancient Greek names too, in the same vein as Pandora, Sirius, etc.
Ancient Greek name is my speciality...
Apollonas (Απόλλωνας") or
Apollon ("Απόλλων");
God of musicOdi: "Ωδή" means music in ancient Greek (i wouldn't recommend that. It is confusing and has other meanings too)
9 Mousses or muses (not sure how is the correct spelling in English) "Μουσες" daughters of Apollon:
1. Kalliopi "Καλλιόπη": Protector of poetry
2. Kleio "Κλειώ" Protector of history
3. Efterpi "Ευτέρπη" Protector of lyric poetri
4. Thalia "Θάλεια" Protector of commedy
5. Melpomeni "Μελπομένη" the muse of tragedy
6. Terpsichori "Τερψιχόρη" protector of orchestra
7. Erato "Ερατώ" protector of love poetry
8. Polimnia "Πολύμνια" the muse of religion poetry
9. Ourania "Ουρανία" protector of astronomy
Other Greek words related to music that come into my mind:
Mousiki (music)
Armonia (Armony)
Chorografia or Chorographia "Χορογραφία" is chorography
Choros ("χορός") dancing
Lyra or Lira "Λύρα" is an ancient Greek music instrument used today as well
Other ancient names related to music:
Peanas or maybe Paianas "Παιάνας" hiσ lyrics were correlated with the music of salvation when something good happened or something bad was avoided
All in all I think that Apollonas or Apollon is the strongest name relating to ancient Greek music. You get a fancy ancient God picture of Apollon holding his lyra on one hand and valuable music shares on the other hand and you are in business..
or,
Apollonian shares
Apollonian music
Apollon shares