There was no change in the top five positions, with Belarusian Aryna Sabalenka, Czechs Barbora Krejcíková and Karolína Plíšková and Spaniard Paula Badosa trailing Barty.
The rise of Kontaveit is at the expense of the Spaniard Garbiñe Muguruza (7th), the Greek Maria Sakkari (8th), beaten in the final in Russia, and the Polish Iga Swiatek (9th), who each lost a place.
Tunisian Ons Jabeur closes the Top 10.
Also note the climbs of the Briton Emma Raducanu (+1, 12th), the Russian Anastasia Pavlyuchenkova (+1, 13th) and the American Jessica Pegula (+2, 14th).
The Kazakh Elena Rybakina, sick and forfeited in the round of 16 in Saint Petersburg, fell four places and is now 16th.
The French N.1 remains Alizé Cornet, still 37th and who had not been so well ranked since September 2018, despite an entry elimination in Saint Petersburg.
WTA ranking after the matches played on Sunday:
1. Ashleigh Barty (AUS) 8330 pts
2. Aryna Sabalenka (BLR) 5698
3. Barbora Krejcikova (CZE) 5533
4. Karolina Pliskova (CZE) 4452
5. Paula Badosa (ESP) 4429
6. Anett Kontaveit (EST) 4241 (+3)
7. Garbine Muguruza (ESP) 4195 (-1)
8. Maria Sakkari (GRE) 4191 (-1)
9. Iga Swiatek (POL) 3986 (-1)
10. Ons Jabeur (TUN) 3070
11. Danielle Collins (USA) 2971
12. Emma Raducanu (GBR) 2664 (+1)
13. Anastasia Pavlyuchenkova (RUS) 2583 (+1)
14. Jessica Pegula (USA) 2474 (+2)
15. Elina Svitolina (UKR) 2472
16. Elena Rybakina (KAZ) 2455 (-4)
17. Victoria Azarenka (BLR) 2396
18. Angelique Kerber (GER) 2287
19. Leylah Fernandez (CAN) 2249
20. Cori Gauff (USA) 2231
...
37. Alizé Cornet (FRA) 1360
70. Caroline Garcia (FRA) 930 (-1)
76. Clara Burel (FRA) 884 (+1)
95. Oceane Dodin (FRA) 751 (-12)
98. Kristina Mladenovic (FRA) 740
./bds/pel/tmn
© 2022 AFP