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The Balanced French Calendar by Walter Ziobro takes the complementary days of the French Republican Calendar and distributes them among the quarters, in a very similar way to the Universal Celestial Calendar, in the following sequence (thus "balancing" each quarter nearly equally):

Day or Month Length Start
Day of Virtue 1 day 001
Vendemiaire 30 days 002
Brumaire 30 days 032
Frimaire 30 days 062
Day of Talent 1 day 092
Nivose 30 days 093
Pluviose 30 days 123
Ventose 30 days 153
Day of Labour 1 day 183
Germinal 30 days 184
Floral 30 days 214
Prairial 30 days 244
Day of Convictions 1 day 274
Messidor 30 days 275
Thermidor 30 days 305
Fructidor 30 days 335
Day of Honors 1 day 365
Day of Revolution (leap day) 1 day 366

Traditionally, the French Republican Calendar used 10-day weeks. In this form either 10-day weeks or 7-day weeks can be used. Although this is not a leap week calendar, this arrangement forms quarters of whole 7-day weeks, whether considered from the preceding or following complementary days. This causes every third month within any one calendar year to begin on the same day of week.

There have been several leap year rules proposed for the French Republican Calendar, because the original decree for the calendar was unclear. If it is desired to link this calendar to the current Gregorian Calendar, I recommend having the leap day occur whenever necessary to have January 1 and Nivose 11 fall on the same day.  If this rule is followed then the first day of Vendemiaire would always fall on September 22.

Generic Version

Some critics have complained that the names of the months and complementary days are too Eurocentric, either climatically or culturally. To alleviate this criticism, the following generic names are proposed as alternatives. The general principle is that those months and days during which the sun is usually north of the celestial equator contain the root "nord" (French for north), while those months and days when the sun is generally south of the celestial equator have the root "sud" (French for south):

Day or Month Length

Sudior 1 day

Unsudaire 30 days

Dusudaire 30 days

Tresudaire 30 days

Sudjour 1 day

Unsudose 30 days

Dusudose 30 days

Tresudose 30 days

Sudial 1 day (leap day)

Nordose 1 day

Unordial 30 days

Dunordial 30 days

Trenordial 30 days

Nordjour 1 day

Unordior 30 days

Dunordior 30 days

Trenordior 30 days

Nordaire 1 day

Note the movement of the leap day to between the 6th and 7th months. This provides a little more balance, although it breaks up the sequence of 7 day weeks in leap year. This position is chosen because the second quarter of the year currently has the shortest season. The leap day can be changed every 5,100 year to reflect the changing relative lengths of the seasons due to precession:

Era Leap day

4000 BCE - 1100 CE/AD: Sudior

1100 CE/AD - 6200 CE/AD Sudial

6200 CE/AD - 11300 CE/AD Nordose

11300 CE/AD - 16400 CE/AD Nordaire

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