There is no real "blue corn moon" within the Native American culture. However, in this culture, there is a "Full Corn Moon" during the month of September.
The term "blue corn moon," which was used in the song "Colors of the Wind" from the movie "Pocahontas," is not one of the actual names for full moons in Native American culture. However, the Full Corn Moon traditionally occurs in September. The names for each month provide a way to track the seasons. The Full Corn Moon is when corn is harvested. Another name for it is the Barley Moon because it is the time of year when the barley was harvested and ripened. Pumpkins, squash, and wild rice were also commonly harvested during this month. This is the full moon that is closest to the date of the autumnal equinox.