One proof that the weekly cycle is reset to begin
immediately after each New Moon, is the following text in the
Book of Jasher Chapter 88,
which confirms that the command to Yehoshua to rise up and march around Jericho was given on the New Moon Day.
Book of Jasher, Chapter 88
14 And it was in the second moon, on the first day of the moon, that Y'hovah said to Y'hoshua, Rise up, behold I have given Jericho into thy hand with all the people thereof; and all your fighting men shall go round the city, once each day, thus shall you do for six days.
17 And on the seventh day they went round the city seven times, and the priests blew upon trumpets.
They did not march upon the Sabbath Day, for YHVH to command a war march on the 7th day Sabbath would be contradictory to His Commands.
They marched on the New Moon Day and also for the following 6 working days.
This proves that the weekly cycle is reset each Moon, and that it is not an unbreakable cycle of 7's from creation until now, which is one of the "refuge of lies" spoken of in Isaiah
17 Judgment also will I lay to the line, and righteousness to the plummet: and the hail shall sweep away the refuge of lies, and the waters shall overflow the hiding place. (the waters of the Latter Rain, shall uncover satan's attempt to hide the New Moon Day mounting of the lunar calendar)
Isaiah 14:12 How art thou fallen from heaven, O hallel (Hillel II), ben shawkhar! how art thou cut down to the ground, which didst weaken the nations! 13 For thou hast said in thine heart, I will ascend into heaven, I will exalt my throne above the stars of El: I will place the mount of the appointed times in the recesses to hide from discovery.
19 O Yehovah, my strength, and my fortress, and my refuge in the day of affliction, the Gentiles shall come unto Thee from the ends of the earth, and shall say, Surely our fathers have inherited lies, vanity, and [things] wherein [there is] no profit.
Note: The seventh day of their marching was also the seventh day of the moon, the sixth day of the week, making mathematically the 7th day Sabbath of this first week of the moon is the 8th day of the moon, making mathematically the 15th, 22nd and 29th also to always be the dates of the 7th day Sabbaths each moon-month.
Divine Calendation is perfect and fixed, not changeable each month as the Roman calendar.
The Book of Jubilees
1 And in the seventh week in the first year [1317 A.M.] thereof, in this jubilee, Noah planted vines on the
mountain on which the ark had rested, named Lubar, one of the Ararat Mountains, and they produced fruit in
the fourth year, [1320 A.M.] and he guarded their fruit, and gathered it in this year in the
2 seventh month. And he made wine therefrom and put it into a vessel, and kept it until the fifth
3 year, [1321 A.M.] until the first day, on the new moon of the first month. And he celebrated with joy the
day of this feast,