This year, we have a couple of infrequent events, and I'm trying to figure out which is less frequent, considering a 19 year cycle (which, I think, is the best time unit to use). Some of the data might be at this site, but I haven't found specifically what I am looking for.
There are 3 possible Shabbatot (outside of Israel) on which we can take out 3 sifrei Torah (as far as I know, but if there are more, please let me know): Shabbat Rosh Chodesh Tevet, Channukah; Shabbat Rosh Chodesh Adar, Parshat Sh'kalim; and Shabbat Rosh Chodesh Nisan, Parshat Hachodesh.
I do realize that on Simchat Torah outside of Israel we also take out 3 (or more) but that isn't part of the grouping I want to consider.
In some years, some of these happen, though I don't know if there are years in which all or none happen.
We also have a case in which we take out 2 sifrei Torah on a "weekday" (defined however you want, to exclude Shabbat, Yom Tov and Chol Hamo'ed Pesach). Rosh Chodesh Channukah is the one weekday when this happens (as far as I remember - tell me others if I am wrong), and it happens every year.
My question is "which happens less frequently over the cycle: a 3 sefer Torah shabbat or a 2 sefer Torah weekday?"
