In the mid 1930's at my parochial school in Alhambra, Calif. for our weekly music lesson one of the nuns had half the class each sing a different song at the same time I only remember the the first few notes and lyrics of one that started "My Name Is Solomon Levi ....".
Ye Gods!, that was about 80 years ago! I have now learned that such a music performance is callled by some an "encounter". Curiously, just last week I learned that in music a "Quod Libet" is a similar phenomenon.