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Why is it that each aliyah for Krias Hatorah has to be 3 pesukim at minimum? I know that the minimum for an entire krias Hatorah on a weekday is 10 pesukim (with the exception of Purim being 9 pesukim), but why do the pesukim have to be split evenly amongst those called up?

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The pesukim aren't necessarily split evenly; there are definitely unbalanced weekday readings. Are you asking about the minimum or about even division? – Monica Cellio Sep 22 '13 at 2:01
Perhaps see Megillah 21b – Double AA Sep 22 '13 at 2:05
@DoubleAA You mean 22a? It has this rule, but gives no reason. – msh210 Oct 2 '13 at 7:05

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