Comparing lunar-day concepts across systems

The comparison record

“Lunar day” can describe different things. In a Chinese calendar, it ordinarily means a numbered civil day within a lunar month. In Tibetan-derived calculation, it can mean a variable-length unit of lunar phase whose number is assigned to a calendar day. Similar-looking month and day numbers can therefore describe different kinds of date.

A comparison also needs a common starting point: either the same instant or a civil date under a stated convention. An instant can be expressed in several time zones. A civil date covers a whole day, whose boundaries depend on the calendar and reference time.

FieldDetail to preserveWhy it matters
Comparison targetExact instant with time zone, or a stated civil dateDistinguishes a point in time from a whole day
Civil calendarGregorian or Julian, with year, month and dayThe same written numbers can identify different days
Traditional calendarChinese, Vietnamese, Korean, or a named Tibetan-derived versionIdentifies the rules behind the date
Reference conventionStandard time, reference meridian and day boundary where relevantDetermines which day contains an event
YearFull year or era designation, including cycle information when neededAvoids ambiguity in recurring year names
MonthNumber or original name, plus ordinary or leap statusDistinguishes two months with the same designation
Lunar dayNumber and, where applicable, which occurrence of a repeated dateA bare number may identify more than one day
Calendar recordPublication or calculation version used for the conversionPreserves the basis of the result, especially for historical dates

Keep the original date and its civil equivalent together. A translated month name alone does not show which rules produced the conversion.

Different boundaries

In the Chinese calendar, lunar day 1 is the civil day containing the astronomical new moon. Part of day 1 may therefore occur before the new-moon instant. Subsequent day numbers advance with the civil dates, through a month of 29 or 30 days. Vietnamese and Korean calendars use the same general kind of numbered day, although their reference times can put an astronomical event on a different date.

Day 15 is a position in that sequence, not a precise full-moon timestamp. The interval between new moon and full moon varies, and day 1 begins at the civil-day boundary rather than at conjunction. Exact fullness can consequently occur before or after the fifteenth day.

In Tibetan-derived calculation, a lunar day represents a 12-degree increase in the Moon's calculated longitude relative to the Sun. Thirty such intervals make a complete phase cycle, but their durations vary. The traditional astronomical model supplies these intervals, and a conventional dawn boundary is used to assign their numbers to ordinary days.

Under the Phugpa assignment rule, an interval that passes entirely between two dawn boundaries receives no date in the ordinary-day sequence. An interval spanning two dawn boundaries supplies its number twice. The following schematic sequences show the difference.

Printed lunar-date sequenceInterpretation
5, 7, 8Date 6 is omitted
8, 8, 9Date 8 is repeated on two successive ordinary days

The weekdays continue normally in both cases. A leap month is separate from either pattern: it adds a month to the year rather than changing a day number within a month.

Month boundaries and conversion errors

A difference of one day can arise when a new moon near midnight falls on different civil dates under two reference times. Different leap-month placements can create a much larger difference in month-and-day labels. The location of the discrepancy helps identify what needs comparing.

Begin with the calendar version and reference convention, then compare the starts of the months concerned. Check whether each month is ordinary or leap before counting its days. In a Tibetan-derived calendar, inspect omitted and repeated numbers as well. Counting ordinary days from the month's start without those adjustments will not reproduce its lunar dates.

Where two results claim to use the same rules, a discrepancy may come from numerical accuracy, an outdated table, a transcription error or an implementation error. Events very close to a day boundary are particularly sensitive to small calculation differences. Compare the underlying event times or a published month table, rather than treating every disagreement as a regional variation.

A festival's scheduled celebration is a separate question. An observance moved to a weekend or assigned a special rule for an omitted date does not change the calendar's sequence of dates.

AD 1–2100

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