Culinary of Japan

Hi, I am going to Japan in mid September for a month total.

The very main thing I want to experience in Japan aside from culture and sight-seeing is the food, the fine dining and the street food.

Should I then book as much days as I can in Tokyo and Osaka? or are there other places who are considered culinary gems? I've heard Kanazawa is known for its seafood, Kyoto has michelin star restaurants as well like Tokyo so maybe Kyoto is also worth being there

Aside from Tokyo, Kyoto, Kanazawa and Osaka, are there more places? or Tokyo covers basically 99% of the options?

Thanks!