see also: theAbysmal Calendar
lunar calendars, 365-day calendars, 364-day calendars, 363-day calendars, 360-day calendars
Dividing 361
365 = 361 + 4 = 192 + 4
The first day falls on Jun 22 or 23 (see below), midyear falls on Dec 21.
There are a couple of variations of skipped days, however, the principal ones are:
Jun 22, Sep 7, Apr 5 (4 in a leap year), Jun 21 (20)
this synchronizes with 363 A.
World Calendars
As far as I’m aware, only the Bahá’ʼí calendar divides the year by 19.
Badíʻ Calendar:
365 = 361 + 4 = 19 x 19 + 4
19-month year
361 = 19 x (6+7+6)
Figurate Time
see: Figurate Time
Figurate numbers are used in mathematics to define geometric shapes. These can then be used to generate weeks of different lengths.
19 centred triangular months
361 = 19 x (1+3+6+9)
19 centred hexagonal months
361 = 19 x (1+6+12)
19 19-gonal months
361 = 19 x 19
361 Figurate Year
Centered Triangular Year
361 = 1 + 3 + 6 + 9 + 12 + 15 + 18 + 21 + 24 + 27 + 30 + 33 + 36 + 39 + 42 + 45
Squared Year
361 = 192
Centered Octagonal Year
361 = 1 + 8 + 16 + 24 + 32 + 40 + 48 + 56 + 64 + 72
Centered Decagonal Year
361 = 1 + 10 + 20 + 30 + 40 + 50 + 60 + 70 + 80
Rethinking Time 