The year "severe coldness to the trees which leaves turn red will not come "several times", you cannot see beautuful Autumn leaves in that year(sometimes it's dirty unhappily!).
These phenomenon is due to chemical reactions of trees & leaves in coldness and it's the same to trees at any places(cities, towns and mountain areas) for changing color just before winter comes.
So Autumn leaves very much depends on low temperature & coldness as bove but even in institutions and organizations specializing weather forecating the time of Autumn leaves and color (also in Sakura season, the same) very often remove the expected time & color because they cannot forecast them with pinpoint at each place in each year .
So you have no choice but going there with great expecting for seeing beautiful Autumn leaves "from 17th Nov to 27th November"--- it's the best time to visit Kyoto etc, but seeing beautiful Autumn leaves, it may feel coldness when you visit temples (& shrines) in rainy days and at night(light up show) or visiting temples near the mountains , preparing walm clothings is needed.