Wow, that is very interesting and good work.
But there is one thing to note: it could be that we need to read that thing top->down(i'm not sure what direction the date is read now).
Look at the glyphs with the little faces at the side of your picture. The numbers are not aligned vertical but horizontal. There are two ways to write this numbers i've read about. If you want to write one big number you read it from down to top. But you can also align them horizontally and that would mean you have to read it from top->down or left->right(where right is the central axis of the UA) in our case. Thats why i've always written down both ways.
Could it be that the date makes more sense in the opposite direction?
EDIT: No, seems to be not the case. Even more random dates that don't have anything to do with 2015, 2016 or 3301.
Mayan Calendar
Their number system was in base 20 (as opposed to our base 10) and they used 3 calendars in conjunction with one another. These 3 calendars were known as Haab, Tzolkin and Long Count.
Haab is very similar to our calendar as it is a measure of months in a year.
A year consisted of 18 months with 20 days each, and an extra 5 days following the last day of the last month, giving a total of 365 days.
Tzolkin is a measure of weeks in a year. There are 20 weeks with each week having either 13 or 20 days adding up again to a total of 365 days.
Long count is a measure of days since the beginning of the Mayan era.
As the mayan number system was in base 20, the long count is based off that (with the exception of one count which is base 18)."
A long count date is represented as such: baktun.katun.tun.uinal.kin
uinal = 20 kin = 20 days
tun = 18 uinal = 360 days = approx. 1 year
katun = 20 tun = 7,200 days = approx. 20 years
baktun = 20 katun = 144,000 days = approx. 394 years
baktun's are numbered from 1 to 13, uinals from 0 to 17 and the other units from 0 to 19.
The beginning of the era in the Mayan calendar is 13.0.0.0.0 which corresponds to August 11, 3114 BC.
The last day of the era in the Mayan Calendar is 12.19.19.17.19 which corresponds to December 20, 2012 AD.
So therefore, the following day is when the calendar goes back to 13.0.0.0.0, marking the end of an era.
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Just dropping in with a idea.
We have struggled in the past to find a number conversion rate for the sounds.
If the symbols on the side are in fact Mayan symbols then maybe that has been placed there as a visual clue saying use the Mayan number system to decipher the sounds.
We know the clicking is the nearest gravity body / system in a modified morse code, but maybe the Mayan hint would help make sense out of the rest of the numbers / sounds without getting into the statistical analysis too much as I believe that the solution will be a simple one once we get there.