Officially a Core 2 Duo processor at least is required to run the game. But it looks like The Marvellous Miss Take might run somehow on a single core legacy Pentium 4 as well. At launch, as Windows was still cleaning things in the background, it may have happened that the music got choppy. Then the trouble disappeared. Nothing which prevents the game from running. With all graphics options turned on, including 2xSSAA, I noticed no frame drop or freeze, at 1366x768. Except blue screen of death twice. No idea if this is related to the downgrade in CPU range.

All in all, the game does not seem to be CPU hungry; I attach a screenshot I took; it reads an average 60% CPU load and a 350MB footprint in RAM. Quite a fair modern game by old standards. Tested with Pentium 4 HT 3.06, 2GB RAM, GT430 512MB.

I would have better investigated before talking about blue screens of death. One of my two DDR stick was faulty. Nothing to do with the game itself. I confirm that it runs smoothly on P4 HT 3.06.