Coco Gauff beat Jessica Pegula 6-2, 6-4 Sunday night to win the Cincinnati Open — the first all-American final here since 1970, as this paper reported — and with it squared their head-to-head at five wins apiece. The ledger says even. Everything else says otherwise, which is what makes this the most quietly loaded rivalry in American tennis. [1]

Start with the arithmetic underneath the symmetry. Both times these two have met in a final, Gauff has won: Wuhan last October, Cincinnati tonight. [1] They played a third decisive match in July, a grass-court quarterfinal, and Gauff took that too — meaning Pegula has now lost three straight to the friend she keeps drawing on the biggest days. [2] Five-all reads like balance. It functions like a pattern.

The roads to Sunday told the same story from opposite ends. Gauff arrived without dropping a set all week, dismissing Samsonova, Ann Li, Bouzkova, Kostyuk and the Bejlek sensation in straight sets — efficiency disguised as routine. [2] Pegula earned her final the hard way, three-setters against Cirstea, Anisimova and Swiatek, the semifinal alone consuming two hours and forty-eight minutes. [2] By the time the final began she had spent most of a fortnight on court; Gauff had spent an afternoon's worth of hours more. Fatigue never explains a 6-2 set by itself, but it does explain why a player as precise as Pegula kept feeding her serve into the tour's best return game.

The win puts Gauff in thinner historical air: only Serena Williams and Victoria Azarenka had previously won this tournament twice in the Open era. [3] She is 22. Pegula is 32, and her postmatch assessment doubled as scouting report and surrender note — "a dangerous, confident Coco is going to New York" — which is the sentence every rival will tape inside a locker this fortnight. [1]

What the rivalry file cannot settle is what each woman carries out of Ohio. Gauff ended a ten-month title drought with a week so controlled that the drought now looks like rest rather than decline; her own caution — refusing to call Cincinnati an indicator of anything in New York — is the discipline of someone who has been burned by her own narrative before. [1] Pegula leaves with the opposite problem: form nobody doubts, finals nobody wins, and a ranking that keeps insisting she belongs exactly where the trophies refuse to go. She has now lost to Gauff twice in their last two meetings, stretching back to July's grass-court quarterfinal, by the unforgiving standard of a tour that remembers finals and forgets semifinals. [2]

The feeds chose their storylines early, as they do. Tennis X spent the evening cutting return-winner montages and declaring the US Open hierarchy rearranged; Pegula's supporters countered that a five-all rivalry means nothing is settled. Both are right, which is the point. A rivalry needs two live endings, and Sunday supplied one for the trophy table while quietly banking the other for Flushing Meadows. They could meet again in New York in a fortnight. Given how this file keeps writing itself, expect the sequel to be booked by the draw ceremony Thursday. [1]

-- AMARA OKONKWO, Lagos