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When presenting Logiweb time to a user, we use GRD/UTC which we shall refer to as GUTC. This section describes GUTC in more detail than the individual sections on GRD and UTC.
GUTC is irregular compared to Logiweb time in that it occasionally includes leap seconds and, furthermore, it counts days in a rather complicated (Gregorian) manner, which includes leap days.
GUTC is built up from the following cycles:
GUTC second. The length of a GUTC second is one SI second (which equals one TAI and one UTC second). Each GUTC second starts at the 'tick' of the TAI 'paper' clock. As an example, the duration from UTC:00:00:00 to UTC:00:00:01 on GRD-2000-03-01 (March 1, year 2000) is a GUTC second.
GUTC minute. Regular GUTC minutes consist of 60 GUTC seconds. Irregular GUTC minutes consist of 61 or 59 GUTC seconds. As an example, the duration from UTC:00:00:00 to UTC:00.01.00 on GRD-2000-03-01 is a regular GUTC minute.
GUTC hour. Regular GUTC hours consist of 60 regular GUTC minutes. Irregular GUTC hours consist of 59 regular GUTC minutes followed by one irregular GUTC minute. As an example, the duration from UTC:00:00:00 to UTC:01.00.00 on GRD-2000-03-01 is a regular GUTC hour.
GUTC day. Regular GUTC days consist of 24 regular GUTC hours. Irregular GUTC days consist of 23 regular GUTC hours followed by one irregular GUTC hour. As an example, the duration from GRD-2000-03-01.UTC:00:00:00 to GRD-2000-03-02.UTC:00.00.00 is a regular GUTC day.
Long GUTC month. A long GUTC month consists of 31 GUTC days. As an example, the duration from GRD-2000-03-01.UTC:00:00:00 to GRD-2000-04-01.UTC:00.00.00 (i.e. March) is a long GUTC month.
Short GUTC month. A short GUTC month consists of 30 GUTC days. As an example, the duration from GRD-2000-04-01.UTC:00:00:00 to GRD-2000-05-01.UTC:00.00.00 (i.e. April) is a short GUTC month.
GUTC dimester. A GUTC dimester (dimester = two months, compare trimester = tres menses = three months and semester = sex menses = six months) consists of a long GUTC month followed by a short one. As an example, the duration from March to April (inclusive) is a GUTC dimester.
GUTC quimester. A GUTC quimester (quimester = five months) consists of a long, a short, a long, a short, and a long GUTC month. In other words, a quimester consists of two regular dimesters followed by an irregular one that ends abruptly at the end of the quimester. As an example, the duration from March to July (inclusive) is a GUTC dimester. The duration from August to December is another quimester.
GUTC Roman year. A GUTC Roman year is the duration from March 1, inclusive, to the following March 1, exclusive. A regular Roman year has 365 GUTC days; an irregular one has one more. As an example, the period from GRD-2000-03-01.UTC:00:00:00 to GRD-2001-02-28.UTC:24:00:00 is GUTC Roman year 2000, which is regular. In contrast, the Gregorian year 2000 is a leap year and, hence, irregular. The difference arises because the Gregorian and Roman years have newyear before and after the leap day, respectively.
A GUTC Roman year consists of three quimesters, the third of which ends abruptly at the end of the year. As a consequence of the conventions mentioned until now, the last month of a regular GUTC Roman year (February) gets 28 GUTC days, and all the other months gets 30 and 31 GUTC days in the pattern prescribed by the Gregorian calender.
GUTC olympiad. A regular GUTC olympiad consists of three regular GUTC years followed by an irregular one. An irregular GUTC olympiad consists of four regular GUTC years. As an example, the period from March 1, 2000 to February 29, 2004 is a regular GUTC olympiad.
GUTC century. A regular GUTC century consists of 24 regular GUTC olympiads followed by an irregular one. An irregular GUTC olympiad consists of 25 regular GUTC olympiads. As an example, March 1, 2000 to February 28, 2100 is a regular GUTC century.
GUTC Gregorian cycle. A GUTC Gregorian cycle consists of three regular GUTC centuries followed by an irregular one.
The rules above allow to convert from LGT to GUTC and back provided one knows the location of leap seconds. A historical 'Roman year' just had 10 months, starting around vernal equinox. 10 month after vernal equinox, the Romans stopped counting days and just waited for the next vernal equinox. The dimester/quimester structure described above is accidental. For the sake of Roman political correctness, the month of August (named after Augustus) was extended to 31 days to make it as long as July (named af Julius).
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