In reply to Toerag:
Mittenwalder Hohenweg - Yes ...
Sharon + I got to try that just a few days ago on a nice mid-week day -- including your clever suggestion of doing it out-and-back to avoid the long descent hike (just the sort of thing Sharon hates). Pleasant views in all directions, wonderful day to be out on a mountain ridge (with a lift supplying most of the work to get there).
Actually we only went as far as the Suedliche Linderspitze (something around halfway). At that point Sharon looked south toward the next likely rocky-climbing section and decided it would be too much hiking to get there, so we turned around. I thought the most interesting section on rock to that point was between the Mittlere Linterspitze and the Suedliche Lsptze. But the cable went mostly below the ridge-top thru there, so we unclipped and scrambled unprotected up on the true ridge - (being careful to test holds, and stopping our climbing if anyone was on the cables below us -- uncrowded that day).
Fortunately it was an uncrowded day, so there was only a small traffic-jam on the ladders going back the other way (north-bound against the generally south-bound flow) over the Mittlere Linderspitze. Then instead of going back again over the Nordliche Linderspitze (which didn't seem to have so much rock-scrambling), we just took the Heinrich-Noe trail around its east side.
Karwendel klettersteig
we did next. Excellent rock (surprisingly unpolished for so close to the lift), interesting climbing moves (esp on the traverse section with slopy footholds but positive handholds if found them). Well-protected by cable with well-placed anchors. I climbed it all free, Sharon grabbed the cable for aid in some places - (her comment afterward, "Where was the crux supposed to be?").
Only drawback: Too short.
. (made me think about coming back up the lift next time with a rope and draws to check how the rock was on some of the free-climbing routes)
After reaching the top of the Westliche Karwendelspitze (2385m), we took the normal route hiking/scrambing (some polished sections, some cable sections) back down to the lift.
Ken
P.S. off-topic
Since we had time left over after turning back half-way, on our way driving back to our base thru Innsbruck we stopped off and tried a couple of sport-climb routes at the Martinswand AV klettergarten - just five minutes off the A12 motorway, easy straightforward walk to the crag. Interesting moves, but some of the holds gave a whole new meaning to the word "polished" -- seemed like black porcelain. Anyway before I could decide if I was too scared to lead another route, lots of after-work Innsbruckers arrived to crowd the climbs, so we just left.