The Chronicles of Local Space

A fictional exploration of nearby star systems

Lacandian Calendar

Lacandian Settlement Calendar

Overview of the Lacandian Settlement Calendar
Calendar Name	Lacandian Settlement Calendar
World	Lacandia
Epoch	3060 March 1 17:19:36 SCE
Days in year	281 or 282
Average length of calendar year	281⁷⁄₁₀ (281.700000) local days
Average length of calendar year	269.127715 Standard days
Months in year	8
Days in week	7
Perpetual calendar	No
Unbroken week	Yes
Intercalation rules	Intercalate 1 day when the remainder of (7 × Year + 3) / 10 < 7

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First Month							Second Month							Third Month							Fourth Month
I	II	III	IV	V	VI	VII	I	II	III	IV	V	VI	VII	I	II	III	IV	V	VI	VII	I	II	III	IV	V	VI	VII
1	2	3	4	5	6	7	1	2	3	4	5	6	7	1	2	3	4	5	6	7	1	2	3	4	5	6	7
8	9	10	11	12	13	14	8	9	10	11	12	13	14	8	9	10	11	12	13	14	8	9	10	11	12	13	14
15	16	17	18	19	20	21	15	16	17	18	19	20	21	15	16	17	18	19	20	21	15	16	17	18	19	20	21
22	23	24	25	26	27	28	22	23	24	25	26	27	28	22	23	24	25	26	27	28	22	23	24	25	26	27	28
29	30	31	32	33	34	35	29	30	31	32	33	34	35	29	30	31	32	33	34	35	29	30	31	32	33	34	35
																					36

Fifth Month							Sixth Month							Seventh Month							Eighth Month
I	II	III	IV	V	VI	VII	I	II	III	IV	V	VI	VII	I	II	III	IV	V	VI	VII	I	II	III	IV	V	VI	VII
	1	2	3	4	5	6		1	2	3	4	5	6		1	2	3	4	5	6		1	2	3	4	5	6
7	8	9	10	11	12	13	7	8	9	10	11	12	13	7	8	9	10	11	12	13	7	8	9	10	11	12	13
14	15	16	17	18	19	20	14	15	16	17	18	19	20	14	15	16	17	18	19	20	14	15	16	17	18	19	20
21	22	23	24	25	26	27	21	22	23	24	25	26	27	21	22	23	24	25	26	27	21	22	23	24	25	26	27
28	29	30	31	32	33	34	28	29	30	31	32	33	34	28	29	30	31	32	33	34	28	29	30	31	32	33	34
35							35							35							35	36

The Lacandian Settlement Calendar was the first calendar created by the earliest settlers of Lacandia. It has an unbroken seven-day week and most months have 35 days. The fourth month has 36 days, and the final month of the year has 35 days in short years and 36 days in leap years. The epoch for the calendar (1-1-01 SCY) is 3060 March 1 SCE at 17:19:37 UTC (Julian Day 2838763.221956), which is the southward equinox prior to the foundation of the first settlement at Bayton.

The Lacandian Settlement Calendar is 281 or 282 Lacandian days long, with an average length of 281⁶¹⁄₈₇ Lacandian days.

In the early years of the settlement, the calendar had simpler intercalation rules and an average length of 281⁷⁄₁₀ (281.7) days. Using the simpler rules that were in force for the first 70 years, a Lacandian year is a leap year if the remainder of (Year × 7 + 3) / 10 is less than 7. An equivalent way of stating this rule is that all years are leap years except for those years that end in 2, 5 or 8.

As the precise length of the year became better understood, the intercalation rules were revised to 281⁶¹⁄₈₇ (≈216.701149) days in Lacandian Calendar Year (LCY) 71. The 281⁶¹⁄₈₇ length can be applied retroactively to all early years because this changeover was introduced in such a way as to make no change to the timing of leap years that were calculated according to the older rules. The revised intercalation rules intercalate one additional day every 870 years (⁶¹⁰⁄₈₇₀ versus ⁶⁰⁹⁄₈₇₀).

Under the revised intercalation rules that were introduced in LCY 71, a Lacandian year is a leap year if the remainder of (Year × 61 + 26) / 87 is less than 61. These rules can be applied retroactively to years in years 1 to 70, but not earlier.

Lacandian Perpetual Calendar

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Overview of the Lacandian Perpetual Calendar
Calendar Name	Lacandian Perpetual Calendar
World	Lacandia
Epoch	3060 March 1 17:19:36 SCE
Days in year	281 or 282
Average length of calendar year	281⁶¹⁄₈₇ (281.701149) local days
Average length of calendar year	269.128813 Standard days
Months in year	8
Days in week	7
Perpetual calendar	Yes
Unbroken week	No
Intercalation rules	Intercalate 1 day when the remainder of (61 × Year + 26) / 87 < 61

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First Month							Second Month							Third Month							Fourth Month
I	II	III	IV	V	VI	VII	I	II	III	IV	V	VI	VII	I	II	III	IV	V	VI	VII	I	II	III	IV	V	VI	VII
1	2	3	4	5	6	7	1	2	3	4	5	6	7	1	2	3	4	5	6	7	1	2	3	4	5	6	7
8	9	10	11	12	13	14	8	9	10	11	12	13	14	8	9	10	11	12	13	14	8	9	10	11	12	13	14
15	16	17	18	19	20	21	15	16	17	18	19	20	21	15	16	17	18	19	20	21	15	16	17	18	19	20	21
22	23	24	25	26	27	28	22	23	24	25	26	27	28	22	23	24	25	26	27	28	22	23	24	25	26	27	28
29	30	31	32	33	34	35	29	30	31	32	33	34	35	29	30	31	32	33	34	35	29	30	31	32	33	34	35
																					(36) Midyear Day

Fifth Month							Sixth Month							Seventh Month							Eighth Month
I	II	III	IV	V	VI	VII	I	II	III	IV	V	VI	VII	I	II	III	IV	V	VI	VII	I	II	III	IV	V	VI	VII
1	2	3	4	5	6	7	1	2	3	4	5	6	7	1	2	3	4	5	6	7	1	2	3	4	5	6	7
8	9	10	11	12	13	14	8	9	10	11	12	13	14	8	9	10	11	12	13	14	8	9	10	11	12	13	14
15	16	17	18	19	20	21	15	16	17	18	19	20	21	15	16	17	18	19	20	21	15	16	17	18	19	20	21
22	23	24	25	26	27	28	22	23	24	25	26	27	28	22	23	24	25	26	27	28	22	23	24	25	26	27	28
29	30	31	32	33	34	35	29	30	31	32	33	34	35	29	30	31	32	33	34	35	29	30	31	32	33	34	35
																					(36) Intercalary Day

In LCY 71 the Lacandian colonies reformed the calendar. They changed the intercalation rules and replaced the Settlement Calendar with the Lacandian Perpetual Calendar. The Lacandian Perpetual Calendar rearranges the months into eight months of 35 days and replaces the 36th day of the fourth month with Midyear Day and the 36th day of the eighth month with Intercalary Day. Both these days are days outside the weekday cycle. Unlike the Settlement Calendar, the Lacandian Perpetual Calendar has the same arrangement each year, except for the insertion of the Intercalary Day. The year 71 was chosen for the changeover because in that year the two calendars began on the same day of the week.

The Lacandian Perpetual Calendar is a leap year if the remainder of (Year × 61 + 26) / 87 is less than 61.

Members of the Abrahamic faiths, who are a minority on Lacandia, continue to use the Lacandian Settlement Calendar for their religious needs.

Midyear Day and the Intercalary Day are holidays and both count as the 36th day of the months that they follow. On Lacandia, the New Year is a four-day weekend consisting of the last three days of the old year and the first day of the new year. In deficient years (when the Intercalary Day does not occur), the last weekend of the year is extended by a day by making Day 33 of the eighth month a holiday.

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