We started at the Hochwildehaus and ascended to the ridge well south of the Schalfkogel. From there, we got to the summit over the south ridge.
Going up directly to the summit from the Hochwildehaus was too dangerous. The glacier on the eastern slope was steep, and even in July there would be avalanche danger. On the ridge close to the summit, we actually triggered a very small one as we kicked down a little bit of snow.
After the summit, we continued north on the exposed ridge for quite a while, before dropping down a bit on the eastern side again. Eventually, we made our way to the Ramolhaus.