No need to peel the turmeric, just give it a good rinse and cut out any blemishes.
Grate, finely slice, or chop your turmeric root and fill your quart jar to about ¾ full. Use gloves if you have some, or your hands will stain (and everything else too).
Add the peppercorns.
Pour the vodka over the herbs and fill the jar to the top. It is important to coverall herbs and as they will expand a little once wet, we'll want to be generous. I like to fill mine right up to the very top. Check back later to make sure they are still covered.
Close the lid tightly, label it, and shake it.
Set aside for 6-8 weeks to extract the benefits of the turmeric. Give it a shake every few days, whenever you think about it.
Strain out the herbs using a piece of cloth. Squeeze out what you can and dispose of the rest in your compost. You can also add it to pig feed, if you don't add too much at a time (you don't want to get them drunk). Turmeric is good for them too.
Now store it in a tightly sealed container. It will keep for many years.
If you like, you can fill a dropper bottle with your tincture for immediate use. But store the rest in a well sealed jar, not in dropper bottles.