Not sure re: the OP’s definition of “widely believed/practiced”, but the Wikipedia article indicates there are currently some English and American potteries that make cup/saucer sets specifically designed for tasseography.
I’d like to know when the first human looked at a pretty rock and decided it had magic powers. Then I’d like to go back in time and slap them silly, because they’re the reason my wife blows so much money on crystals. /r
Just to make sure, I do not see science and pseudoscience as polar opposites. That’s a very Western way of thinking.
There are elements of pseudoscience baked into science (please do not get me started on P - hacking, or the reproducibility crisis in social sciences, …) and there are elements of science baked into pseudoscience (like PTSD therapy using Yoga). ,
Even in the west, astronomy emerged from astrology, and chemistry emerged from alchemy. Like it or not, the irrational has always served as the basis for the rational.
I think Lamarckism qualifies - the notion that physical characteristics acquired after birth are passed on to one’s children. A blacksmith develops a strong arm due to his work, therefore a blacksmith’s son will have a strong arm. Giraffes are constantly extending their necks for vegetation, and this is how giraffes developed long necks. A modern example would be someone believing the child of pro athletes will be more likely to have more natural talent than his or her parents, because the parents were constantly honing their muscles.
(The theory lost out to natural selection, and modern genetics fails to support Lamarckism.)
Lamarck lived in the eighteenth and nineteenth centuries, but the concept goes back to ancient if not prehistoric times. Who knows if it is older than astrology.
I’ve heard the occasional Lamarckian misconception about inheritance, especially in sports. Though often lighthearted remark or sort of as a joke, like talking about why people are such good athletes or how people’s future kids would look.