SSW-ridge from the Egginerjoch. The ridge between the Egginer and Mittaghorn seemed of bad rock quality with sometimes huge rockfalls.
Took the first cabin to Felskinn and arrived at the start of the SSW Ridge around 9 o'clock. I agree with the author of this page that finding the route is the biggest problem. It will probably be a bit try and error but when you reach the snow saddle, there won't be much problems anymore. I think it is important from here, to use a running belay, otherwise it will take too much time to reach the summit and to continue with a traverse to the Mittaghorn. We reached the summit at half past 2 and immediately started searching the chimney in the East Face. It is absolutely necessary to descend in the right chimney, which is marked with a sling. The traverse left back to the ridge is a bit strenuous due to loose rock. Once we reached the crest of the ridge, we climbed in a running belay straight to the Mittaghorn, passing the last gendarm to the right.