This is the genteel north-west, where Vienna stops being imperial and starts being residential — a park on a hill and the villa streets that grew up around it. No monuments to speak of. The walk is the slope, the trees, and other people's gardens.
Three and a half kilometres, climbing gently. From the Volksoper end of the U6, head up through Währing into the Türkenschanzpark — laid out in 1888 on ground that once held Turkish siege works, and built as a proper English landscape park, all winding paths and contrived level changes. Vienna does flat formal gardens beautifully; this is the opposite, and the better for the variety.
The Paulinenwarte, the brick tower at the top, gives you the city laid back towards the spires and the Woods beyond. Climb it if it's open.
Then east into the Cottageviertel, the 19th-century villa quarter that borrowed its name and its low-density logic from England — big houses, walled gardens, streets that wander. Walk it slowly. End at Gersthof on the S45, a quiet station for a quiet walk.

