Math is fun.
If you apply Fibonacci's golden fraction (x 0.618 or x1.618) you find all sorts of fascinating things.
If you apply it to the whole of something, you can find the nugget or the spiritual essence of it. For example, in the three hour pilot of DYNASTY, if you apply this fraction oft-repeated in nature, you get the library scene between Blake and Steven. That works for me.
If you apply it to the 8.33 years DYNASTY was on the air from Jan. '81 to May '89, you wind up with March 1986 (two thirds of the way thru S6), but if you go by episode count (~216 episodes) you arrive at roughly episode 133 (mid-way thru S6). Of course, DYNASTY had long-since ceased listening to nature, but I've always felt Season 6 should have indeed been the series' natural peak, and mid-S6 when Alexis should have had her brief tenure on the throne... However, had DYNASTY run one season longer than it did and we wound up with a Season 10 (which it should have), then it would have placed the golden fraction "peak" at the very end of S6 or the very beginning of S7 when Alexis first took over the mansion. Which makes some sense, too.
With DALLAS, if you apply the golden fraction to the 13.08 years the show ran (from April 1978 to May 1991)
or the total episode count of 357, both give you the end of Season 9 (per DVD count) in May of 1986 as the series' innate "bump" -- which is when Bobby appeared in the shower (8.08 years and ~222 episodes). Although I prefer the ghostly disappearance of Wes Parmalee as that Fibonaccian "marker," so that would extend DALLAS' run another year, into 1992, but that's just me.
But, yes, if we go by the idea that 1983 was DALLAS' natural peak, then it could all end when Pam went "splat" in 1987.
So it all depends on where we think these shows' "peaks" in their cycles are, or were. But it's interesting to speculate and call it "science".
Yes I agree that season 9 of DALLAS should've been the long built up showdown between Pam and JR, VP was indeed a very capable actress and I would have loved for her to really go after JR after nine years of him putting her through hell, she had 9 years of rage toward him, use it!
Although many people consider S10 (post dream) to be S9, so it all gets confused.
Season 10 (per DVD and industry standards) is DALLAS' ninth year, sort of. So it's the re-energized year.
Season 9 (per DVD) is DALLAS' eighth year, sort of. And it's stumbles. And, yes, their refusal to take on JR at Ewing Oil is one of the series' biggest wasted opportunities.
Angelica Nero was far too DYNASTY for something as grounded as DYNASTY, she should have only been in 10 or 12 episodes
Katzman created the character although he didn't produce the show that season, and indeed he only expected Angelica to last about 10 episodes, but Peter Dunne's writers decided to extend unnecessarily the character throughout the entire season.