The lai is another French form. It's a nine-line poem or stanza that uses an "a" and "b" rhyme following this pattern: aabaabaab. The lines with an "a" rhyme use 5 syllables; the "b" rhyme lines have 2 syllables. It feels kind of like organized skeltonic verse. By unknown writer
So each stanza contains 20 syllables times 3 stanzas equals 60 syllables total. Since there are 60 seconds in a minute, I'm going to go out on a limb and proclaim that's the origin of the name minute poem.