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You are correct. That was a typo in the body. The title has the correct name.
As for the lengths of the unciae, I prefer that they be nearly equal, with 30-30-31 days, rather than split into weeks of 28-28-35, or 28-35-28.
Yes, its true that the extra days and weeks break up the symmetry of the 90 or 91 day periods, but there's always SOME loss of symmetry in any terrestrial solar calendar because the length of the tropical year does not precisely equal a divisible number of days. The loss of symmetry over the longer period is compensated for in this case by the capacity for multiple division of the 90 or 91 day quarters into numerous symmetrical internal
I think it is uncia and not unica that is Latin for 1/12.
I’d prefer each uncia to have exactly 4 or 5 weeks (rather than 30 or 31 days) so that every uncia begins on the same day of week (Monday). They could be like
months of Symmetry454. Uncia 2, 5, 8, 11 each have 5 weeks along with uncia 12 in a leap years others have 4 weeks. The unciae begin with ISO weeks, 1, 5, 10, 14, 18, 23, 27, 31, 36, 40, 44, 49.
The advantages of having near equal-length unciae (of 30 or 31 days) are negated by the leap week (ISO week 53).
From: East Carolina University Calendar discussion List [mailto:CALNDR-L@...]
On Behalf Of Walter Ziobro Sent: 17 March 2012 18:40 To:CALNDR-L@... Subject: ISO-UNCIA Leap Week Calendar
THE ISO-UNCIA LEAP WEEK CALENDAR
Dear Calendar people:
The ISO UNCIA Calendar is my proposal to incorporate the week numbering rules of ISO 8601 into an auxiliary calendar format that can be put to use at any time by anyone, because it serves to supplement the existing Gregorian calendar and ISO 8601 rules without
The year is first divided into four equal quarters of 91 days/13 weeks (the last quarter will have 98 days in leap years). Each quarter begins on Monday of W01, W014, W27, and W40 of the ISO week numbering system. The leap week will be added whenever ISO 8601
specifies a 53rd week.
Each quarter is further divided into 3 divisions which I call _unica_ (Latin for twelfth). I call them such so that they will not be confused with the months of the Gregorian calendar, which they will not replace, and with which they will not precisely correspond.
Each uncia will have 30 days, except the third, which will have 31 (The very last, or 12th, will have 38 days in leap year). I prefer to put the longer uniciae at the end of each quarter. In this way, the first 90 days of the quarter can be easily divided
into useful day-groups of 3,5,6,9,10,15,30 or 45 days, which can conveniently fit into the 90 day scheme of 3 unciae, minus the last day (or last week of the leap week year). Of course, with the 91st day, the quarter can be divided into 13 7-day weeks. The
Unciae will always begin on Monday, Wednesday or Friday, depending upon whether the uncia is respectively the 1st, 2nd or 3rd unica of a quarter.
The unciae will simply be identified by ordinal numbering (1st thru 12th). As an option, for those who prefer names, they can be called by ordinal numbers in Latin: Prima, Secunda, Tertia, Quarta, Quinta, Sexta, Septima, Octava, Nona, Decima, Undecima, and
Duodecima. They can be numbered in a format similar to the ISO day numbering scheme as YYYY-Uuu-dd, wherein Uuu represents the uncia, such that U03 would represent the 3rd uncia, or Tertia, and dd would represent the day number of that particular uncia.
Every day of each uncia will always correspond to a particular week-day number in the ISO week numbering scheme. For instance, U05-19 (19th day of Quinta), will always correspond to W20-7, a Sunday. U10-10 (10th day of Decima), will correspond to W41-3, a
Wednesday. An so on, for every day of the ISO week numbering system. There will never be a difference, as long as the ISO rules are not changed.
Given that the ISO-UNCIA Calendar is an auxiliary, or supplemental calendar, rather than a proposal to replace the existing Gregorian calendar, or change any current ISO standard, or modify the sequence of weekdays, it does not require any authorization from
any legislature, standards setting body, or religious denomination. Anyone who finds the Calendar useful, is free to implement it anytime that they want in their own way.
A couple of added bonuses of the ISO UNCIA calendar:
1) There are no Friday the 13th's!
2) The format is very similar to the ancient Enoch calendar, and to several proposed leap-week calendars.