My question is that going by the definition of time period that is,
"the time required to complete one oscillation".

Now, if I say the best option for an engineer should be that , the building should not oscillate , am I right?

That could happen if the time period of a system is very large, right?
Because, if the time period is LESS, the frequency is MORE, hence the system would suffer more oscillations , right?So to make the building suffer no oscillations/ less oscillations the time period should be LARGE.

SO AM I RIGHT IF I SAY LESS STIFFNESS AND MORE MASS WOULD BE THE IDEAL CONFIGURATION?

Raj