
Petra, this looks like a downy mildew, there are a number of different ones. The general symptoms are patches on the top and underside of the leaves as in yours, plus there is the tendency for a furry or downy growth under them.
Non chemical control is ( this could be hard at this time ) reducing the humidity, and placing plants with more air space between each them.
Chemical , Zineb, copper oxychloride, and copper hydroxide and fongarid. the underside of the leaves should be wetted thoroughly when using the products . As the underside is where they multiply quickest.
Sorry for not answering sooner.

Pup
Edit for typos