You are right. Yours has more petals. Mine has clearly only one row of petals. Thank you very much.
It might be White Wings, although White Wings may be a bit more rounded, like here:
http://hethoefblad.nl/hoefblad...
According to the same source: "Single white flowers, closing at night to keep them perfect in the early days, are held on well-branched upright stems. Thick mid green leaves. Scented. Late season."
I remember that the flowers of my NOID close at night, because I like plants that close flowers and/or leafs at night.
Does your Krinkled White close at night? I have more space beside my white NOID and I would like to add one more white peony that can grow at this spot; that is, that can tolerate shade.