What are the three largest festivals in Japan?

The Japanese like to use the number three to summarize things, but as far as festivals are concerned, opinions are divided on which three to choose.
For instance, there is a view that the Sanja Festival in Tokyo, the Gion Festival in Kyoto, and the Tenjin Festival in Osaka are the three largest festivals.
But another view holds that the three largest festivals are the Sanno Festival in Tokyo, the Aoi Festival in Kyoto, and the Tenjin Festival in Osaka.
Each region has its three largest festivals.
In the Tohoku region, the Nebuta Festival in Aomori, the Kanto Festival in Akita, and the Tanabata Festival in Sendai are said to be the three largest.
In Kyoto there are the Aoi Festival, the Gion Festival, and the Jidai Festival.