Holidays by the Numbers

In Mussaf on Yom Kippur, we detail the Avodah that the Kohein Gadol does in the Bais Hamikdash. This is the ultimate in Olam, Nefesh and Zman - the three dimensions, Time, Space and Soul. The Kohein Gadol is the holiest man doing the avodah in the Bais Hamikdash/Kodesh Hakodoshim which is the holiest place, on Yom Kippur which is the holiest time.
Part of the Avodah involves the sprinkling of the blood. We go into detail, and, in fact, the entire congregation chants along with the chazan counting, one, one and one, one and two, one and three, etc. until, finally, one and seven. What is this one and what is the seven and why are they kept separate?
If you read my number explanation posts and if you still remember them, one is Hashem and ONLY Hashem and seven is hashgacha or Hashem's "natural" appearance in this world. It can also be said that the seven is the way in which man can utilize the seven sefiros and emulate G-d. This is a somewhat simple explanation for the one and the seven and why they are separate.
Looking more deeply, the one represents Yom Kippur. Yom Kippur is referred to in the Torah as "Achas" Bashana - the one time a year. The seven represents Succos. For many reasons. Succos is the one holiday that is seven days both in Eretz Yisrael and chutz laaretz. On Succos we also celebrate the harvesting of the sheva minim - seven species for which Israel is known. Again, why seven? With planting and farming etc. we have the likliest situation to believe "kochi v'otzem yadi" - I did it, with the power of my own hands, but we have to remember, seven, hashgacha, it's Hashem's way of appearing to us in a "natural" manner. Whatever successes we have come from Him.
The final seven is in the naanuim, when we shaked the lulav. We shake it in all six directions, left, right, forward, back, up and down (not necessarily in that order). In the first pasuk however, there are seven words, and in the second, there are four but we shake two directions for every word (in the pasuk of Ana Hashem), leaving one word left over in both instances. Which word? Hashem. Why? Because although the hashgacha is there, Hashem is there, but in this world, he still remains somewhat hidden. Ze shmi lolam, which is written without a vav and can be read and understood as hidden (in this world).
When the one and the seven are achieved to perfection, they combine to make eight, the supernatural, shimini atzeres. On each of the days of succos we bring one less cow as a korbon, culminating on the last day with .... you guessed it... seven cows. On Shmimi Atzeres, we only bring one. Because that's all we need. If we do OUR avodah properly, then by Shmini Atzeres we can be one with Hashem and only need to bring one cow as a korbon.

(P.S. Other than the title, the book has nothing to do with the post. Then again, there's something very appropriate about that title for a book of that content)