From Korea, besides the Sijo, we have the Kasa, it is an eight syllable per line poem, divided by two four syllable parts. No end rhymes, but there is rhyme or consonance in the first word or letter each line, by couplet.

At night she calls, the brown thrush song.
As with her trill, sings in wind tune.
The tree she sings, a wan, long face;
three nights my love, I waste away.
looking through boughs, with no return,
loosing at once, we danced as breeze,
bends the dark moon, waking her blush
blends this moot gloom, the night betrays.

OM