The formula to calculate the Cross Quarter Day (CQ) is:
\[ \text{CQ} = \left(\frac{\text{D}}{4}\right) \times (\text{Q} - 0.5) \]
Where:
A cross quarter day is a day that falls roughly halfway between one of the four traditional quarter days in a year. These quarter days mark the beginning of each season: the vernal equinox, the summer solstice, the autumnal equinox, and the winter solstice. Cross quarter days, therefore, fall between these points and are often associated with traditional festivals and holidays. Examples of cross quarter days include Groundhog Day, May Day, Lammas, and Halloween. These days have historical significance in various cultures and are often tied to agricultural cycles and seasonal changes.
Let's assume the following values:
Using the formula:
\[ \text{CQ} = \left(\frac{365}{4}\right) \times (2 - 0.5) = 91.25 \times 1.5 = 136.875 \]
The Cross Quarter Day (CQ) is approximately 136.88.