Peony leaves with tiny spots sounds like a virus.  This article on Peony Viruses shows some examples you can use to compare.  Fungi, please see Peony Leaf  Splotch for pictures,  also produce spots, but more splotch-like, and  the stems and shoots are affected.  How  long have you had  these plants, and is the first time you have seen this problem.  You should be able to attach photos to Ask an Expert questions.  

As Anne has said, your peony’s leaves look very healthy. After reviewing your images, I believe the small light-colored spots on your peony leaves are not caused by insects or disease. And it's true that peonies do get several different fungus diseases but that damage is far different than is on your plant's leaves.

The answer to this problem is a bit obscure until you consider the recent weather. The damage was caused by hail that occurred during one or several of our recent storms. Thin leaves often acquire slits and tears when struck with hail. But thicker and sturdier leaves, such as those on peonies, develop only small scuffs when struck with small to moderate-sized hail. When those few surface cells die, their color lightens to white or tan as is seen in your images. (I've attached a picture of similar damage which occurred on my trillium.) Another variation of hail damage is seen when leaves are quite thick and somewhat soft, as on sedums. Then, the white areas will often be small depressions.