Lunete

Very pretty and unique, plus a bunch of nickname opportunities like Lulu. I also consider this spelling much prettier then Luned.

This name really is beautiful, though I prefer the spelling Lunette.

Umm. They say it's French. Well, spelled, "lunette" in French, it means "glasses" -- as in "reading glasses". Dropping one T won't make it sound any different so in the saying, it won't mean anything different. Just be sure your daughter won't be spending any time in France if you must give her this name.