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The discovery of the common trait uniting periods 20-23 into a quartet ('bent bottoms') makes it reasonable to relocate, in the calendar of K, period 20 from its earlier position as the last period in a triplet to a first position in a quartet. Similarly - for symmetry's sake - we can relocate period 13 to a quartet - from the first position in a triplet to the last in a preceding quartet:

period no. number of glyphs
0 2 24 30 2
1, 2, 3 7 + 3 + 4 = 14 16
4, 5, 6 3 + 2 + 3 = 8 24
7, 8, 9 2 + 2 + 2 = 6 30
10, 11, 12, 13 2 + 3 + 2 + 3 = 10 15 *28 37
14, 15 2 + 3 = 5 45
16 *13 *16 *58
17 3 *29 *61
18, 19 *7 + 4 = *11 *26 *76
20, 21, 22, 23 4 + 3 + 6 + 2 = 15 *87
24, 25, 26 2 + 3 + 3 = 8 *95
27, 28 5 + 4 = 9 *104
29 5 16 *109
30, 31 4 + 4 = 8 *117
32 3 *120
 
As an additional adjustment I have separated period 'zero' from period 32 and inserted it at its proper place - at the beginning, where new light is created. I have also reduced the number of glyphs in period 0 from 7 to 2, resulting in a calendar with *120 glyphs.
 
Furthermore, period 29 is in a way beyond the regular structure, twice 52 = 104, and in the 29th night the moon is invisible.
 
The subtotals in the table above (24, 30 etc) are, though, in no way more than thought provoking sums. The messages in the glyph pictures must govern, not the numbers. The table is therefore just an illustration on the way to a true picture.