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Although that is a logical

Although that is a logical assumption, our understanding is that the name "Red Moon" developed because the full Moon is often reddish in appearance when it rises through the typical haze of the season.

 

Indian Summer is a period of warm weather following a cold spell or a hard frost. According to various interpretations (and locations), it typically falls some time between late September and mid-November. However, for more than 200 years, the Almanac has adhered to the saying "If All Saints' (November 1) brings out winter, St. Martin's (November 11) brings out Indian summer."