Well, Apollo-sama is a god of the sun, and that shines, doesn't it? Apollo is also most notably a god of the arts, musically or otherwise, and I'm certain that counts.

[Maybe not in this... exact... way... but listen. If they're talking about things that sparkle and shine, he doesn't think there's anyone which beats out Hibiki.]

Not to mention she's a God of Fortune now as well! I'm certain that must have a connection!