Patience is key in this hobby. You cannot speed up Mother Nature. Just not going to happen.
Having said that it depends on how the tank is set up to begin with. Dry rock. Real live rock, fully submerged, shipped over night? Real live rock, shipped over night, not fully submerged? Tank upgrade? Mix of dry and live? LFS rock that has been in a vat for X amount of time?
Now let us talk about cycle. Rock and substrate how are you going to cycle? Fishless, ammonia in a bottle, and bacteria in a bottle? Fish (gasp)? Food and traditional cycle? Any of these plus the combination above can take anywhere from 10 to 90 days before the tank can process 4 ppm ammonia to 0 ppm ammonia in less than 24 hours. This is just to put fish in safely...
Ok, with all that out of the way guess what? It still depends. My experience, and opinion based on it, says 18 to 24 months if using a dry rock base with bacteria in a bottle and ammonia. To include merging or upgrading a previous tank of smaller to larger. The initial cycle will be about 28 or so day as I said to process ammonia. However, the dry rock takes time to mature. By that I mean Mother Nature growing the biological filter and life all over the rock. Nooks, crannies, and substrate. Over the course of 18 or so months you will get the biological filter on rocks set, then go through a few different phases of algae of which we call the ugly phase. This is when you learn more patience by understanding what is growing/happening, how to address, if need be, and work on mitigation skills.
As time ticks by you are growing in understanding how things work. Tank is maturing by its foundation spreading. And soon you can start placing various test corals to again...test your skills, maturing tank, and of course patience.
I just upgraded from a 40 breeder to a 210 gallon tank. Started with 150 lbs of rock. Moved in probably 50 or so after the cycle. 19 months later. Yes, 19 months. I will only now say the rock is mature enough to support any corals I put in the system. Corraline is there. Life is there. Snails, worms, small corals, shrimp, and whatever else. And I'll go a step further to say that even now, 19 months later....it still isn't there.
Corals take a long time to mature from small frags. Some grow faster (soft corals) but some take time. Time is what fills in the tank that allow fish to call home or food or hiding spots. So no, no real answer other than it takes time and my opinion (not that I'm be all end all) is that 18 - 19 months is what I found to be my sweet spot. Dry rock. Merging of a smaller to larger tank.