Many posters on this board have discouraged people from trying to do and see too much in one trip, and to avoid going from place to place at too frantic a pace, suggesting that everytime one switches an overnight location that that day is in essence a wasted or lost day in terms of actually seeing and doing things, because that day would be dominated by travelling to the new location, and the time and energy devoted to getting set up in ones new accommodations
I certainly agree to an extent about this, and I too cringe when I see travel ideas that have someone visiting London, Paris, Rome, the Cinque Terre and finishing up at Neuschwanstein, with perhaps a Dachau and Rothenburg side trip thrown in, all done in, say, 12 days. The mere thought of these marathon "if this is Tuesday it must be Belgium" trips is exhausting. However, on our trip last year I feel that we struck a nice balance of fitting in a lot of travelling and new accommodations, and yet not losing any days entirely in spite of travelling. On our 23 day trip starting and ending in Berlin which brought us to Dresden, Prague, Nurnberg, Garmisch, Salzburg, Munich, Erfurt and back to Berlin, we had about 8 days where travelling to a new location was on the agenda, and certainly in those 8 days we didn't have full days of sightseeing, but looking back at them, we came pretty close to doing so.
A good example of this was our trip from Garmisch to Salzburg. We left in mid morning, got to Salzburg in early afternoon, left our luggage at our hotel and spent the entire afternoon touring Salzburg. Looking back I feel we did about as much touring around that day as we would have had we started the day in Salzburg, we just went later into the evening and didn't have an afternoon rest time as we might have had we started the day there.
So for us I think the formula for success was a) only travel so far in one day, like Dresden to Prague, Erfurt to Berlin (in that case with a six hour long layover in Leipzig to see the city for the day) so that one is on a train only for a few hours, b) alter one's rhythm of the day to make up for lost time, in our case it meant having very full afternoons of sightseeing on every single travel day. This worked for us without a problem, and one reason for that was c) having conveniently located hotels or accommodations that did not require a lot of time to get to or to check in to.
Anyway, this pattern worked well for us, the concept of bit size, digestible chunks of travel time spread out over the trip. In hind sight I would say that I wouldn't have been against the idea of having one or two longer travel days, such as a Prague to Vienna leg, and looking back now would actually have done that, but certainly I agree on the idea of limiting long travel days.