Re'eh

5780 Shabbos Rosh Chodesh Elul This week is Shabbos Rosh Chodesh Elul. One would think that when comparing the two, Shabbos is greater than Rosh Chodesh. However, from the Gemara in זבחים דף צא ע"א it appears that Rosh Chodesh is greater and more holy because the Gemara wants to prove that תדיר precedes מקודש because the musafei Shabbos come before the musafei Rosh Chodesh which is תדיר even though Rosh Chodesh is more מקודש....