Scripture shows us two new Moon days in a row as well.
1 Samuel 20
4 Then said Jonathan unto David, Whatsoever thy soul desireth, I will even do it for thee.
5 And David said unto Jonathan, Behold, to morrow is the new moon, and I should not fail to sit with the king at meat: but let me go, that I may hide myself in the field unto the third day at even.
18 Then Jonathan said to David, To morrow is the new moon: and thou shalt be missed, because thy seat will be empty. 19 And when thou hast stayed three days, then thou shalt go down quickly, and come to the place where thou didst hide thyself when the business was in hand, and shalt remain by the stone Ezel.
24 So David hid himself in the field: and when the new moon was come, the king sat him down to eat meat.
The next verse has been mistranslated. It should read ” of the new moon” (the same as above), but instead it was changed to read “day of the month”.
27 And it came to pass on the morrow, which was the second day of the new moon, that David’s place was empty: and Saul said unto Jonathan his son, Wherefore cometh not the son of Jesse to meat, neither yesterday, nor to day?