Well the answer is it depends. I don't turn my pile much, just when I want to get to the finished compost at the bottom. I just keep adding stuff on top. So when I am going to use the compost I take the stuff off the top to be the bottom of the new pile, down to the layer where the earthworms are. The bottom of the pile will be finished or nearly finished compost, which when exposed to air again and stirred a little will finish quickly.
So the last time I did that was in the fall for fall planting. Pile is frozen now. In about early March where I am, it will be all the way thawed again and I will be planting. I will turn it over again and there will be finished compost at the bottom (of course there will also be a lot of uncomposted stuff that becomes the beginning of the new pile). That's about 6 mos that stuff sat there, but it was through the winter, not doing much.
The stuff that in March became the bottom of a new pile, by May-ish when I want more compost for more planting will be finished and I will do the turn it over again routine. It will have finished quicker with warmer weather. Then again in fall for the fall planting.
But lots of variables. I don't put manure in my piles, just kitchen scraps and garden remnants and leaves. I do water the pile, whenever I water the garden. You will find out with experience what works for you. If I had to pick one number as a best guesstimate, I'd figure on 6 months.