Word for very-fine, see through
Solution 1:
Diaphanous, from Greek diaphanês "transparent, translucent", from dia "through" and phainô "to shine, appear".
Solution 2:
A synonym is sheer(^2), adj. [< ON. skaerr, bright] 1. very thin; transparent: said of textiles (Webster's New World Dictionary, Warner Books Paperback Edition, c. 1984), in case you need variety from lovely "diaphanous."