The spreadsheets are

- Lunisolar4.xls (Web Page) General
- LunisolarA.htm Web page listing
**accurate cycles***in order of number of years*.

Cycles that are a whole number of weeks are shown in blue.

- LunisolarML.xls
(Web Page)
Lunisolar cycles that are a
*multiple of a short lunar cycle*(less than 1885 months)

- Lunisolar334.xls
(Web Page)
Whole number of
**334-year cycles**of 4131 lunar months. - Lunisolar353.xls
(Web Page)
Whole number of
**353-year cycles**of 4366 lunar months.

- Lunisolar33.xls
(Web Page)
Whole number of solar
**33-year cycles** - Lunisolar128.xls
(Web Page)
Whole number of solar
**128-year cycles** - Lunisolar161.xls
Whole number of solar
**161-year cycles** - Lunisolar293.xls
(Web Page)
Whole number of solar
**293-year cycles** - Lunisolar400.xls
(Web Page)
Whole number of
**Gregorian 400-year Cycles**

- Lunisolar7.xls
(Web Page)
**Whole Week Cycles** - Lunisolar8.xls Octaeteris based cycles
- Lunisolar19.xls Multiple of 19 years
- LunisolarEF.xls Number of years = Number of Leap Years + Number of Yerms
- Lunisolar5.xls
*Exactly 5 leap years per saltus lunae*(K=E/5=C/4)

Each row in the spreadsheet corresponds to a lunisolar cycle. You can create your own cycle by saving your own copy of the spreadsheet, then modifying the figures in the first three colums of a row. The other figures in the row change to their correct values for the new cycle. You may copy a row before modifying its copy.

If the basic year has 12 months of 354 days and the intercalary month has 30 days, then the abundance is the number of years with an additional day (abundant years).

E = C + 30B - 11A

F = B + 2C

G = 365 + E/A G = I/AIn an accurate cycle this is between 365.2416 to 365.2427.

H = 29.5 + F/(24A + 2B) H = 29.5 + F/(2J) H = I/JIn an accurate cycle this is between 29.53055 to 29.5306.

I = 354A + 30B + C I = 365A + E

J = 12A + B

K = 30B - 11A K = E - C

L = 7A - 19B

The spreadsheet Lunisolar_391_334_315.xls calculates the number of 391-year, 334-year and 315-year cycles for a given lunisolar cycle.

The defining columns are the same as before (Years, Long, Abundant) and the derived columns are the number of 391-year (E), 334-year (F) and 315-year (G) cycles. These are calculated thus:

E = -37A +101B -C F = +32A -89B +4C G = +12A -31B -3CThen there are columns for the number of months and days and then the mean year and mean month.

In Lunisolar_391_334_315_A.htm, this is done for many accurate lunisolar cycles (ordered by length).

Spreadsheet Lunisolar_333.xls with web page shows various lunisolar cycles made up of 391-year, 334-year and 315-year cycles.

The defining columns are the numbers of 391-year (A), 334-year (B) and 315-year (C) cycles and the derived columns are

- E: Years (
`= 391*A + 334*B + 315*C`

) - F: Long Years (
`= 144*A + 123*B + 116*C`

) - G: Abundant (
`= 76*A + 65*B + 61*C`

) - I: Months
- J: Days
- K: Mean Year
- L: Mean Month
- N: Leap Years
- O: Yerms
- P: Saltus Lunae
- Q: Truncated Metonic Cycles

*Karl Palmen* April 2011