Done as part of Mountain Ventures alpine training course. From Rothornhütte, leaving at 05:15. Anne Jago and I were on a rope led by guide Nick. We were quickly on the Trift glacier. We crossed it in a big curve under the Triftjoch, crossing several minor crevasses. We crossed a bergschrund to a broad shoulder at ~ 3650m. Here the rocks above looked difficult so we traversed a snow couloir to another ridge further to the south west and climbed this. Climbing this was awkward due to fresh snow on rocks. We reached the correct route. The final rock crest is quite difficult. The final section is easy-angled snow. The summit of Wellenkuppe was reached at 09:35. We had glorious views from the summit, but mist came down before other ropes arrived. It had been intended that our rope should continue to Ober Gabelhorn, but poor conditions made us decide to return with the others. On the descent the upper rocks were abseiled in two sections, one of ~ 150 feet. We descended the correct route which was much easier than it had seemed from below. The hut was reached at 13:20.