Anywhere between 6-10 lime is a good ratio to have.
The lower the ratio, the more cost effective you are input wise (and if you're not buying this would be your time spent gathering), but the less effective you are equipment wise. I believe 6 is cost optimal if I remember correctly? But it's inefficient per smelter. So if you wanted to run that little lime you'd need more smelters, a lot more probably. If you only have 1-2 smelters I suggest 10 or so. 12 is peak smelter efficiency (the 13 number only applies if the bar chance is random, which it isn't).
The real kicker that bugs me is most people don't consider charcoal to have a value when calculating. It takes time to generate charcoal, and non-renewable resources to boot. Tree planting won't change that if you've played haven. It's a time intensive job and burning trees for charcoal is not something you do unless there's a very good reason to.
Edit: I made some cost estimations back in the day to get these numbers. Ore I considered "free" because of low phlegm cost per boulder and ore crushers. This is no longer true. I believe I valued lime at 2s and charcoal at 1s? Even if you're not buying, you still need to consider time input (and enjoyment factor, I frigging hate digging lime) when calculating efficiency.
It's been neat to see the evolution of a game. Salem has come so far, and still has far to go. Although frustrating, I think it's been an experience worth the effort.