#### Calculations

1. Reduction

2. Digit Combination

3. Modulus

4. Summation

5. Square Summation

*1. Reduction*

This is simply a process of summing the individual digits number until the result is a single digit between 1 and 9. For example reducing the date 16/07/1971 = 7+7+9 = 23 = 5

*2. Digit Combination*

This is when digits are combined together to form a larger number. For example the digit combination of 17, 4, 11 = 17411

*3. Modulus*

This is the remainder when one number is divided by another. For example [17 mod 5] = 2, there are 3 x 5s in 17 with a remainder of 2. Modulus will reduce any size number to one within a defined range, if M is a large number [M mod N] will reduce it to a number between 0 and N-1

*4. Summation*

Summation is the sum of all numbers up to and including the current number, represented by ∑n the formula for the summation of n is

**∑n = 1/2n(n+1)**

For example the summation of 122 = 1+2+3+ ..... +122 = 7,503

*5. Square Summation*

Square summation is more complex, it is the sum of all numbers squared up to and including the current number, represented by ∑n^{2} the formula for the summation of n is

**∑n ^{2} = 1/6n(n+1)(2n+1)**

For example the square summation of 23 = 1^{2}+2^{2}+3^{2}+ ..... +23^{2} = 4,324

*1. Lunar Cycle Coefficient*

This is the number of days in a complete lunar cycle, represented by the sign **∅** it equates to 29.53 days

*2. Solar Year Coefficient*

This is the number of days in a complete solar year, it equates to 365.24 days

*3. Lunar Cycles per Solar Year*

This is the number of lunar cycles in a complete solar year, it equates to 12.37 cycles

1. Life Path Number

2. Chaldean Number

3. Personal Year

4. Birth Moon Phase

5. Current Moon Phase

6. Moon Phase Differential

*1. Life Path Number*

This is simply the date of birth reduced to one digit, for example 21/11/1967 = 3+2+5 = 10 = 1

*2. Chaldean Number*

This number, represented by **∂** will be determined by the birth surname and utilise the Chaldean system, this will reduce to a single digit

*3. Personal Year*

Take the date of birth, apply to the current year and reduce to a single digit, for example 21/11/1967, reduce 21/11/2018 = 3+2+2 = 7

*4. Birth Moon Phase*

The number of days into the current moon phase on the day you were born, this will be between 0 and 29

Knowing that there was a new moon on 1 January 1900, we just need to know the number of days between 01/01/1900 and the date of birth, say **K**. We then take [**K** mod **∅**], leaving us with the number of days (rounded to whole number) into the moon phase

*5. Current Moon Phase*

The number of days into the current moon phase, similar to working out the birth moon phase but using the current date, this will be between 0 and 29

*6. Moon Phase Differential*

Simply the difference in days between your birth moon phase and the current moon phase

1. Combine the digits of the Life Path Number, Birth Moon Phase, Pythagorean Coefficient and Personal Year

2. Sum the digits of this 5 or 6 digit number into a total, say **K**

3. Take the [**K** mod 22], this will give a number between 0 and 21

4. Equate the number to the associated major arcana card

1. Combine the digits of the Life Path Number, Pythagorean Coefficient, Personal Year and Moon Phase Differential

2. Sum the digits of this 6 to 7 digit number into a total, say **K**

3. Take the [**K** mod 56], this will give a number between 0 and 55

4. Add 1 to this to give a number between 1 and 56

5. Equate the number to the associated minor arcana tarot card