This is a reply to an extraordinary question, by Yosef: "According to the chart, Yovel years have had absolutely no relevance vis a vis Jewish historical events.... until the last century? Seems like a stretch to suddenly accord two coincidences out of three millennia with such significance."
The secret is in what we have dubbed the count of Chesed. There are three contributors to the count of Chesed. First, there is a cycle of 12 years, then there is a cycle of 19 years, then there is a cycle of 49 years. What follows is a summary.
When does the cycle of 19 years start? In 5309, after a Tikkun of the Arizal, and after which the secular breakthrough started. This breakthrough had many scientific consequences, but its ultimate political consequence was the estabishment of the Jewish State, the secular Jewish State. This is a Tikkun, because in the centuries before the Churban, Israel had a State, but it was steeped in Avodah Zarah. The Avodah Zarah was the real reason for the Churban, though this reason is never mentioned. Still, it had the teachings of Moshe as basis, uniquely so, and the long exile was a consequence, a positive consequence.
After the Tikkun of the secular Jewish State, the cycle of 49 years started as years of Chesed, in the year 5727. That year, 499 and 500 were thus reached, in other words, in the terms of the GR"A, טצ"ץ of the right was reached. There are three טצ"ץ counts, and you can read about them here. In the year 5776, the value 507, of the right, is reached. It is the beginning of a process of clarification regarding the nature of the Jewish State, which will avoid the trap of Avodah Zarah, but which will, of course, not stay secular.