Tenmei-era haikai style; Basho-revival haikai
A haikai (or haiku) style from the Tenmei era (1781–1789) that sought to return to the spirit of Matsuo Bashō, often associated with the Shōfū (蕉風) tradition.
The Tenmei style is a school of haikai that aimed to return to the Shōfū (Bashō's style).
Tenmei-era comic tanka style
A style of humorous tanka (kyōka) that flourished in the Tenmei era, popularized by Ōta Nanpo and others.
See also: 狂歌
The Tenmei-style comic tanka popularized by Ōta Nanpo became a huge fad in Edo at the time.
狂歌 is the broader genre of comic tanka; 天明調 (sense 2) is a specific historical style within that genre, characterized by the witty, satirical verse of the Tenmei period.
From 天明 (Tenmei, the era name) + 調 (style, tone). The term refers to literary styles that emerged or were prominent during the Tenmei era (1781–1789).