[Aztlan] 3M-day year

[Ivan Van Laningham]

Hi All--
The "3M" is probably a typo or PDF artifact for 364, better known as 
"the computing year"; in fact, on page 3, Lounsbury says, "(i) the 
'computing year' of 3M days;".

To verify this, I took one of Lounsbury's examples of a contrived 
number, 1272544.  As he states, it is evenly divisible by 2392:

 >>> 1272544%2392
0

but not by any other factors he mentioned _except_ 364 (% is mod, or 
modulo):

 >>> 1272544%260
104
 >>> 1272544%780
364
 >>> 1272544%360
304
 >>> 1272544%2392
0
 >>> 1272544%1820
364
 >>> 1272544%364
0

I haven't had a chance to go over this article in detail, but that's my 
best guess based on the cursory look I've had so far.

Can anyone confirm?  I can do some more digging, but it may take me a 
day or two to squeeze out the time.

Metta,
Ivan

martha noyes wrote:
> The Lounsbury article is available at:
> www.mesoweb.com/pari/publications/RT03/Rationale.pdf
> 
> 3M appears several times in the paper - p.2 - quoting Thompson, "Very  
> frequently the LR [long reckonings] is a multiple of the 260-day  
> count, or it may be a multiple of the 3M-day year",  p.3 - "As  
> already mentioned . . .divisible by 260 or by 3M", p.3  "the  
> 'computing year' of 3M days", p. 4 - Unlike many of the CN [companion  
> numbers], the one in this instance is not evenly divisible by 260 or  
> 780, but it is by 3M", p. 8 - "Condition No. 2 may have involved . . . 
> 3M or 117", "we may surmise . . .same position in the 3M-day cycle  
> (the so-called computing year), or else that it have the same  
> position in the 819-day cycle", "Whether the 3M-day cycle . . . or  
> the 1820-day cycle . . . were ends in themselves or were only  
> reckoning devices"
> 
> Thanks
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-- 
Ivan Van Laningham
God N Locomotive Works
http://www.pauahtun.org/
http://www.python.org/workshops/1998-11/proceedings/papers/laningham/laningham.html
Army Signal Corps:  Cu Chi, Class of '70
Author:  Teach Yourself Python in 24 Hours