In the current Machzor Gadol, year Samech is in between years ז and ט of Machzor HaKatan. That is, Samech is in between the two candidate years for the Tikkun of Yesod. If we choose it to be, the Tikkun in year ז will strengthen the Tzevaot before the awesome Samech of ס"ו ופלגא.
There is more. The 7-year cycle of the planets and the 12-year cycle of the Mazalot also harmonize with the cycles of the Sun and the Moon. Around our current Machzor, a remarkable symmetry exists which involves all cycles. The last Tikkun of Chesed of the 12-year cycle was in the same year as the last Tikkun of Yesod - in year 5765. That year was also the year of the last Tikkun of Gevura (Din).
The Geula calenda mirrors the special year 5765 in another special year, 5801. In that year, the Tikkunim of Chesed and Yesod will also co-occur, this time just after the Tikkun of Din, which is in year 5800, close to its end. Moreover, the counts of Chochma and Bina converge at this point. Both reach 71, which is the value that underlies the convergence at טצ"ץ, as 499 is seven times 71.3.
סז