While the OP and a later video posted are interesting, as well as the study on biological rhythms, such things seem more helpful as merely anecdotal evidence for the Shabbat cycle.
The seven day cycle of the Shabbat was encoded in the biological cycle of life in the first woman, who was created to be the counterpart-helpmate for the first man, and has nothing to do with the cycle of the moon. Where is the moon in the vision of Rev 12? It is at the feet of the woman in the heavenly vision, meaning that the moon is subservient to the woman, for it also strongly implies that when the woman brings forth the man-child, the moon will obviously be turned to blood by way of the contextual symbolism, seeing that the moon is at her feet while she is in pain to be delivered and about to bring forth the man-child. Most of scholarship seems to have misunderstood the order of importance as it appears to be laid out in the scripture, (at least imo), for it is the moon which symbolizes the woman, not the woman who symbolizes the moon: the moon is subservient to the woman in the analogies, allegories, metaphors, etc., in the scripture, (the women are the cities are the covenants, just as Sarah and Hagar are juxtaposed in Gal 4:22-27 and Yerushalem of above is our mother(covenant)).
The cycle of the woman was built into her and programmed by the Creator to be precisely twenty-eight days which, to this day, remains the average monthly cycle of a woman. In modern times the cycle is counted as commencing when her issue of blood commences and this also appears to be what is taught in the Torah. The first week of seven days is also the average length of the issue of blood in the average twenty-eight day cycle of a woman to this day. After her issue ceases, at seven days, there is another week of seven days and the woman ovulates, that is, in the fourteenth day of her cycle for the average woman with an average cycle of twenty-eight days. Thus the fourteenth day of her cycle is the day wherein the woman is most fertile, and the fifteenth day is the second most fertile day of her cycle. After two more weeks of seven days, when the twenty eight days of her monthly cycle are complete, the next monthly cycle commences with a new issue of blood.
The average woman with the average monthly cycle of twenty-eight days completes thirteen cycles in one year, that is, thirteen months of twenty-eight days. Thirteen months of twenty-eight days amount to exactly fifty two weeks of seven days for a total of three hundred and sixty-four days in one full year of monthly cycles.
No doubt Adam's counterpart-helpmate-wife helped him to remember the Shabbat of creation and likewise to understand the calendar: for her cycle contains the weekly Shabbat cycle which continues to this day.
Note something critical in the following passage: the woman is considered clean at the end of the fourteenth day of her cycle, (if it is the typical twenty-eight day cycle), but the offering is not offered until the next day, (the fifteenth which is here called the eight day because of the context). This means that the man may go into his wife immediately following the sacred calendar day, (the fourteenth day of her count from when her issue stopped), and yet that is just over two hours before sunset, and thus, they would only be unclean until sundown, which therefore would not interfere with the offering of the next day. This is the perfect timing for conception because the typical woman with the typical cycle of twenty-eight days has ovulated in that fourteenth day of her cycle.
Leviticus 15:16-33 KJV
16 And if any man's seed of copulation go out from him, then he shall wash all his flesh in water, and be unclean until the even.
17 And every garment, and every skin, whereon is the seed of copulation, shall be washed with water, and be unclean until the even.
18 The woman also with whom man shall lie with seed of copulation, they shall both bathe themselves in water, and be unclean until the even.
19 And if a woman have an issue, and her issue in her flesh be blood, she shall be put apart seven days: [week one] and whosoever toucheth her shall be unclean until the even.
20 And every thing that she lieth upon in her separation shall be unclean: every thing also that she sitteth upon shall be unclean.
21 And whosoever toucheth her bed shall wash his clothes, and bathe himself in water, and be unclean until the even.
22 And whosoever toucheth any thing that she sat upon shall wash his clothes, and bathe himself in water, and be unclean until the even.
23 And if it be on her bed, or on any thing whereon she sitteth, when he toucheth it, he shall be unclean until the even.
24 And if any man lie with her at all, and her flowers be upon him, he shall be unclean seven days; and all the bed whereon he lieth shall be unclean.
25 And if a woman have an issue of her blood many days out of the time of her separation, or if it run beyond the time of her separation; all the days of the issue of her uncleanness shall be as the days of her separation: she shall be unclean.
26 Every bed whereon she lieth all the days of her issue shall be unto her as the bed of her separation: and whatsoever she sitteth upon shall be unclean, as the uncleanness of her separation.
27 And whosoever toucheth those things shall be unclean, and shall wash his clothes, and bathe himself in water, and be unclean until the even.
28 But if she be cleansed of her issue, then she shall number to herself seven days, [week two] and after that she shall be clean.
29 And on the eighth day she shall take unto her two turtles, or two young pigeons, and bring them unto the priest, to the door of the tabernacle of the congregation.
30 And the priest shall offer the one for a sin offering, and the other for a burnt offering; and the priest shall make an atonement for her before the LORD for the issue of her uncleanness.
31 Thus shall ye separate the children of Israel from their uncleanness; that they die not in their uncleanness, when they defile my tabernacle that is among them.
32 This is the law of him that hath an issue, and of him whose seed goeth from him, and is defiled therewith;
33 And of her that is sick of her flowers, and of him that hath an issue, of the man, and of the woman, and of him that lieth with her that is unclean.
This is a procreation cycle, the cycle of life, and it also affirms the Shabbat cycle: and it was first instituted in the biological cycle of the counterpart-helpmate-wife of the first man. And just as the Shabbat itself was instituted in the opening creation account, and codified later in the Torah, likewise this also was first created in the life cycle of the woman and later codified in the Torah.