wrote in message
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The question is more about sheen than color. White is the color we'll
be using...it's just a matter of flat or semi-gloss. . . . .

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I am not sure, but I think the choices are sometimes "flat", "satin",
"semi-gloss", and "gloss". In other words, I think some brands of paint
offer a "satin" finish which is in between "flat" and "semi-gloss". You
may want to try a small test area and see what you think before doing the
whole ceiling.