In 1 Chronicles chapter 24 David set out orders for the cohanim to serve in the Beis Hamikdash. What he established is intuitive for a 12 month year, but what was done in a 13 month year? If possible, where may I find discussion not only on what was done, but the underlying debate and justification for the decision.
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4It's a 24 week rotation, so they didn't get the same time each year anyway.– HeshyMay 6, 2019 at 23:00
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1@DoubleAA do you skip Pesach and Sukkot? Sukkah 5:7 talks about משמר שזמנו קבוע on Yom Tov. Anyway if it's not exactly right that shows they didn't care about it drifting through the year, however slowly.– HeshyMay 6, 2019 at 23:49
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1I know that Bereichos b’Cheshbon discusses this question, but I haven’t seen a copy of that Sefer in years that I could look this up. In his first piece there, he explains how the Mishmaros lined up over the course of a full calendar cycle.– DonielFMay 7, 2019 at 16:13
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1@KenGoss A lot of editions of Mircheves HaMishnah on the Rambam’s Mishnah Torah include it in the back. Or so I’m told - like I said, I haven’t seen a copy of Breichos b’Cheshbon in years. But you might have some better luck.– DonielFMay 7, 2019 at 18:48
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1His general assumption IIRC is in line with Heshy’s assumption above that each Mishmar got a week, and while everyone served on Yom Tov it was primarily one Mishmar’s week. With that said, even non-leap years get complicated really quickly. And that’s where the math kicks in.– DonielFMay 7, 2019 at 19:11