All this is based on a monster that lives 3 years.
I started with a naga that gained 39,33,33 in noisy hall and froze it and went on the venture again and it gained 8,8,8 it was low but its not bad it is roughly 1/5 and better. But, if a monster goes on venture everyday of its life it can have a total of 432 individual noisy halls and a normally raised monster would get 36 noisy halls thats 12x's the number frozen than not frozen. It gets expensive to raise a single monster but his moves will be all maxed.
I developed a little bit of a method with this. you want to make sure you get it leveled up quick so it gains better in noisy hall but remember you can gain mor than double for your moves anyways as with the same monster. If you are going to battle make sure you rest right after your venture if your monster is tired. and do hard drills other times right now my Mogi is 3 mo. with one level added to one move and at C class.

wow, even though that would take a long time, it could max moves easily. p.s. i love math :)

good job

thanks Brad yeah this is for the long haul. depending on if and when you do official tournies this will only age your monster 1 month in a year.
I also found that the battles raise your monsters bonds to you so you can have a full bonds monster in no time.