tyromancy
has been listed 4 times with 3 comments
geloscopy
has been listed 2 times with 1 comment
onimancy
has been listed 2 times with 0 comments
patolli
has been listed 1 time with 0 comments
fatidic
has been listed 11 times with 2 comments
chirognomy
has been listed 2 times with 0 comments
pessomancy
has been listed 2 times with 0 comments
i ching
has been listed 2 times with 1 comment
thrioboly
has been listed 1 time with 0 comments
mantology
has been listed 1 time with 0 comments
myomancy
has been listed 4 times with 0 comments
sortilege
has been listed 7 times with 0 comments
armomancy
has been listed 2 times with 0 comments
I love these words. They are so delightfully quirky, telling us about what is obviously a deep-rooted human interest in trying to predict the future, and the bizarre ways people have gone about trying to do so.
The Phrontistery website has what may be the canonical list - rather than transcribe it over here, I generated candidate words by typing the two words augury and divination into Onelook's reverse dictionary.